JPRS ID: 8926 USSR REPORT POLITICAL AND SOCIOLOGICAL AFFAIRS
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VRI
ANo
16 NOVEM6ER 1979 (FOUO 4l79)
30
i OF i
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_ I'Q)Ft OFFI('IA1. i iS h: Nl.l'
- ,)PRS L/8768
16 November 1979
USSR Report
PHYSICS AND MATHEMATICS
(FOUO 4/79)
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Z
JPRS L/8768
16 November 1979
USSR REPO RT ~
PHYSICS AND MATHEMATICS
(FOUO 4/79) :
This serial publication contains articles, abstracts of articles and news -
items from USSR sc.ientific and technical journals on the specifie subjects
reflected in the table of contents.
Photoreproductions of forQign-language sources may be obtained from the -
Photoduplication Service, Library of Congress, Washington, D.C. 20540.
Requests should provide adequate identification both as to the source and
the individual article(s) desired.
CONTENTS PAGE -
,
I
ACOUSTICS
Arrival Angle Fluctuations of a Plane Wave Propagating in
a Sea Medium as Received by a Linear Array
-
(V. A. Yeliseyevnin; AKUSTICHESKIY ZHURNAL, No 4, 1979)
1
ELECTRICITY AND MAGNET I,SM
=
The Dynamic Characteristics of a Fast-Flow Electric Discharge
-
C02 Laser
(V. A. Artamonov, A. P. Napartovich; KVANTOVAYA
.
_
EL=oNrxA, Jui 79)
7
Tnvestigating the Active Medium of a Fast-Flow C02 Iaser
-
With Non-Self-Sustained Discharge
(A. V. Artamonov, et al.; KVANTOVAYA ELEILI'RONIKA,
_
Jul 79)
11 -
The Mechanism of Direct Heating of a C02-N2-He Laser Mixture
in a Non-Self-Sustained DischarFe
(I. V. Kochet ov, et al.; K4A,.n]TOVAYA EI,EIERONIKA, Jul 79 )
17
The Chain Mechanism of Exciting a Contiriuous Chemical EF
Laser With Cylindrical Nozzle
(A. A. Stepanov, V. A. Shcheglov; KVANTOVAYA ELEKTftONIKA)
Jul 79) 26
- a- [I%I - USSR - 21H S&T FOUO]
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j
~v~.u. UJL. VLVL1
COIWTNTS (Continued) Page
Ii.iotory and Yrospects for Transistor lise
(Yu. Pozhel.a; PRAVDA, 12 Oct 79) 39
- PHYSICS
= Crystals and Semiconductors 42
Electricity and Magnetism 48
Optoelectroriics 52
Theoretical Physics 53
~ Thermodynamics 54
.
- b -
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ACOUSTICS
r)
UDC 534+534.231.2
ARRIVAL ANGLE FLUCTUATIONS OF A PLANE WAVE PROPAGATING IN A SEA MEDIUM AS
RECEIVED BY A LINEAR ARRAY
Moscow AKITSTICHESKIY ZHURNAL in Russian Vol 25, No 4, 1979 pp 625-628
[Article by V. A. Yeliseyevnin, Acoustics Institute USSR Academy of Sciences,
submitted for puhlication 26 July 1978, after revision 11 January 1979]
[TextJ Sound propagation in a sea medium is accompanied by its scattering
on random volumetric inhomogeneitie$ of the water layer, and also on bot-
tom irregula=ities and the wave-covered sea surface, which leads, in par-
ticular, to fluctuations of the angle of arri.val of a wave at the antenna.
' Similar fluctuations are investigated in [1-3] applicable to the scattering
of optical and radio waves in a turbulent atmosphere or ionosphere. Fluctu-
ations of the direction of a sound ray, reflected from an uneven sea sur-
face, are considered in [4J, but the computations are made without taking
the size of the receiver aperture into account.
Below we compute the dispersions of fluctuations of the angle of arrival
of a plane wave at a linear array, the wave being multiply reflected from
the wave-covered sea surface, and also scattered on turbulent inhomogeneit-
ies of the water layer.
According to [1], the angle of wave arrival on the antenna will be consid-
ered as the angular coordinate of the "center of gravity" of the displaced
image Oeo, which applicable to the considered case of a linear antenna can
be written in the form +m -+ii:
- ~al(a)dx s `Yo~~l)d`~o'~~l)
-r./x
uo
Tk +r.lz /j)
`I(a)dec f ~To(Tl)1Zdn
where 'V 0 (Yj) is the stipulated random distribution of the field in the
antenna aperture, I(QC) is the distribution of image intensity with respect
to the � angle, L is the extent of the linear antenna, k is the wave number,
j is a fictitious unit, * is the coaplex conjugation symbol.
1
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~ Va~ VL a 1vi[au V~L'+ VL\LL
, NeYlec:ting fluctuations of amplitude and limiting ourselves to an examina-
ti.on onl.y of random phase delays, that is, representing the field in the
~ aperture in tne form 'zlrp()() = exp[-JS(rj)], where S(Y() is the random
phase distribution, expression (1) can be reduced to the form
�o= ( tlU) [s(I lz) -s(-L/2) (2)
The dispersion of fluctuation of the arrival angle will be
cr~== caoz> _ (?/cZL=) [RS (0) -B5 (I )1=ns (I ) lktf Z, (3)
R
where BS(L) and DS(L) are the correlation and structural phase functions
in the antenna aperture; the symbol denotes averaging for a set
- of records. _
Now we will determine the dispersion of fluctuations of the argle of arriv-
al of a plane wave at a linear antenna, the wave being maltiply reflected
- from the wave-covered sea surface. The problem is solved in the followtng
formulation. Assume that a plane wave is propagated in a water layer with
a constant speed of sound in the layer, a smooth rigid bo*_tom and a wave-
covered water-air surface, successively beir~g reflected from the bottom
and surface. The uneven water-air discontinuity is homogeneous, an iso-
tropic, on the average horizontal surface z= g(x, y)(< t(x, y),> - 0) with
unevennesses distributed in accordance with the normal law. The latter are
- characterized hy the mean square value cfs =~(x,y)j and the spatial cor-
relatiion coefficient (-3 ( P)= exp ( P/as )2], where a; is the correla-
-t.on ~,adius of the unevennesses and )o = x+ y.
Reception is accomplished on a linear antenna with a constant response
along the entire length L(in the computations assigned the value unity),
situated in the vertical or horizontal plane normal to the ray, experienc-
ing mirror reflection from the mean botmdary of the uneven surface.
The sound field, multiply scattered by the wave-covered sea surface, can
be computed by the Kirchhoff inethod in an Ekrat approximation in accordance
~ with a scheme reducing multiple reflections to single reflections, multiply
- repeated [5]. It is assumed that the unevennesses of the surface are so
gently sloping that their slopes can be neglected and only the displace-
ment of the surface from the mean plane need be taken into account.
By analogy with the case of single touching of an uneven surface by a ray
161, in the case of n-fold tangency the random phase delay can be written
-
in the form - ---n "
_ s(z,J)=-j2ksinV V7 Y),. (4)
L.~
ae~
_ 2
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where I/ is the glancing angle of the ray at the point of mirror reflection,
, 41, is the surface rise at the point of t-fold ray tangency. Assuming that
the correlation radius of the unevennesses a; is much less than the dis-
tance between the adjacent points of tangency of the uneven surface by the
ray, the correlation function of phase fluctuations in the antenna aperture
- `!`can be represented in the form
- i 13s (il-i~') =~i/z sin= i~~� Qt'rt ~~l-~1) � (5)
~,II
- Substituting this expression into formula (3) and taking into account that
- in the case of an antenna situated in the vertical plane the projectiori of
= a.; otito the antenna is equal to a S sin y/, and in the case of an antenna
situated in the horizontal plane is equal to the value a4 itself, we obtain
the following expressions for the dispersions of fluctuations of the angles
of arrival of a plane wave at an antenna situated in the vertical plane
191: L2 11 (6)
I exp660 Lz \ a;Z siu`
[B = vertical] and at any antenna situated in the horizontal plane:
Sii sin` 1116~' L2
6~,~== L2 ~ I1-CX~ 1 (7)
It can be seen from the latter two expressions that the fluctuations of
the angle of wave arrival at the antenna increase with an increase in the
number of reflections n, the dispersion of fluctuations of the unevenr.iesses
c'g2 and the glancing angle of the ray Y with tangency on an uneven sur-
face. On the other hand, the fluctuations decrease with an increase in
the dimensions of the antenna L(averaging effect of the aperture) and
the correlation radius of surfaae unevennesses ag . Thus, in the case af
small glancing angles V antennas of large dimensions L will not "sense"
fluctuations of the angles of arrival a rough surface becomes a mirror
surface for them.
- For convenience in computations expressions (6) and (7) can be combined
into one:
va2=81i-0=(1-exP(-Z2)l(8)
_I
-1 where the generalized parameters are O' sin w/L, and L= L/a ~ sin
' when the antenra is situated in the vertical plane, and L= L/as , when the
antenna is situated in the horizontal plane.
' Figure 1 shows the dependences of the mean square angle of arrival of a
' plane wave at the antenna (in degrees) in dependence on the generaliz-
ed parameters L and a- for a single reflection from an uneven surface n= l.
For n-fold reflection from an uneven surface similar dependences can be ob-
tained by multiplying the values presented in Fig. 1 by the v/n- value. The
_ values of the generalized parameters for which the computations were made
were selected proceeding on the basis of data on sea waves cited in [7].
- 3
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_
Ga
2,0
r
i
10
40
B
7
6
S
4
3
Z
1
_ Fig. l. Values of the mean square angle of arrival of a plane wave at a lin-
ear antenna, the wave being singly reflected from the wave-covered sea sur-
- face. The curves 1-8 correspond to the values of the generalized parameter
- 0-'= 0.0025, 0..005,...,0.02.
- i
G � Z
K
- ~ ss
~a
/
i
9
U
2U0 400 R,n�
Fig. 2. Values of inean square angle of arrival of a plane wave at a linear
antenna, the wave having passed through a layer of a turbulent medium of
the thickness R. The c rves 1-4 correspond to t~-~e values L= 10, 15, 20 and
25 m and Cn - 10-4 ui 1~3; the curves 5-8 L= 10, 15, 20 and 55 ml7ld Cn
= 5�10-5 m 1/3; curve 9-- L= 10, 15, 20 and 25 m and Cn = 10' m" .
Now we will determi3e the dispersion of fluctuati_ons of the angle of arrival
- of a plane wave at a linear antenna, the wave being propagated in a turbu-
lent sea medium. In [1], in the first approximation of the smooth perturb-
ations method, the author determined the structural function of phase f:luc-
tuations of a plane wave passing through a layer of an isotropic turbulent
medium of the thickness R: - - '
(9)
4
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where k= 0.5 when L' ~R and k= 1 when L~ /AR, a is wavelength, Cn is the
structural constant of the refractive index of the sea medium. [It is demon-
s trated in [8] that the values of the phase fluctuations obtained by this
method are also correct where it is inadmissible, that is, in the region of
strong fluctuations of amplitude or at very great distances.] Subatituting
expression (9) into formula (3), we obtuin an expresaio n for the dispersion
' of fluctuations of the angle of arrival of a plane wave at a linear antenna,
the wave having passed through the layer of a turbulent medium:
Cta==�-,91 ?:Cn`RG-'11. (10)
Figure 2 shows the dependence of the mean square angle of arrival of a plane
wave at an antenna Qac(in degrees), computed using the last formula, on the
distance R for antennas with an aperture 10, 15, 20 and 25 m. The computa-
tions were made for values of the structural constant Cn = 10-4, 5�10-5
m 1/3, characteristic for regions of the world ocean wi th a stable hydro-
logical picture L-71.
In conclusion it must he noted that both in the case of scattering on an
uneven sea surface and in the case of scattering on three-dimensional in-
homogeneities of the sea medium the computations of fluctuations of the
angles of wave arrival at the antenna were made without taking into account
a coustic refraction in the water layer. Computations of the field scattered
by an uneven sea surface were made for the simplest model of the mechanism
of scattering. Finally, it was assumed that only one ray, experiencing
scattering, is incident on the antenna. These circumstances, simplifying
the real situation, must be taken into account in a comparison of the re-
sults of computations and experimental data.
I BIBLIOGRAPHY
l. Tatarskiy, V. I., RASPROSTRANENIYE VOLN V TURBULENTNOY ATMOSFERE (Wave
Propagation in a Turbulent Atmosphere), Moscow, "Nauka," Chapter 4,
1967.
= 2. Shifrin, Ya. S., VOPROSY STATISTICHESKOY TEORII ANTENN (Prublems in
- the Statistical Theory of Antennas), Moscow= "Sovetskoye Radia," 1970.
I
_ 3. Lobkova, L. M., STATISTICHESKAYA TEORIYA ANTENN SVERKHVYSOKIKH I OPTICH-
ESKIKH CHASTOT (Statistical Theory of Superhigh and Optical Frequency
Antennas), Moscow, "Svyaz'," 1975.
4. Frolov, V. M., "Fluctuatians of Direction of a Ray Reflected from a
- Statistically Uneven Surface," VOPROSY SUDOSTROYENIYA, SERIYA AKLTSTIKA
(Problems in Shipbuilding, Acoustics Series), 8, 74-79, 1977.
5. Gulin, E. P., "Correlation Properties of a Sound Wave With Multiple Re-
flections from an Uneven Surface," AKUST. ZH. (Acoustics Journal, 22,
6, 845-857, 1976.
5
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6. Bass, F. G., Fuks, I. M., RASSEYANIYE VOLN NA STATISTICHESKI NEROVNOY
POVERKHNOSTI (Wave Scattering on a Statistically Uneven Surface), Mos-
cow, "Nauka," 1972.
7. AKUSTIKA OKEANA (Ocean Acoustics), edited by L. M. Brekhovskikh, Moscow,
"Nauka," Chapter 1, 1974.
- 8. Klyatskin, V. I., "Dispersion of the Angle of Arrival of a Plane Light
Wave Propagating in a Medium With Weak Random Inhomogeneities," IZV. _
W Zov, RADIOFIZIKA (News of Institutions of Higtier Education, Radio-
physics), 12, 5, 723-726, 1969.
COPYRIGHT: Izdatel�stvo "Nauka", "Akusticheskiy Zhurnal," 1979
5303
Cso: 8144/1928
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N1,BC'1'RICITY 11i'VD MAGNETI.N
UDC621.378.33
THE DYNAMIC CHARACTERISTICS OF A FAST-FLOW ELECTRIC DISCHARGE C02 LASER
Moscow KVANTOVAYA ELEKTRONIKA in Russian Vol 6 No 7, Jul 1979 signed to
press 25 Nov 78 pp 1554-1556
- [Article by V. A. Artamonov and A. P. Napartovich]
[Text] The dynamic characteristics of a fast-flow electric
discharge continuous C02 laser were investigated. It is
shown that turbulent fluctuations in the flow of the active
medium affect the laser generation dynamics along with cavity
vibration and current sourc2 fluctuations.
Investigation of the factors influencing the laser emission dynamics is of
decisive significance for developing dyr.amic control systems of laser emission
parameters. It is known that emi.ssion fluctuations have technical reasoMis and
are determined mainly by cavity vibrations and noise of the pumping source in
continuous sealed-off C02 lasers [1]. It was found in measurements of the
~ time emission characteristic5 of a steady fast-flow electric discharge laser
(BEL) that the emission is fluctuating in nature [2, 31.
The given paper is devoted to investigating the causes of emission fluctuations
of BEL with transverse pumping, operating on a mixture of atmospheric air and
C02, excited by a self-sustained direct current discharge. A similar descrip-
tion of the experimental installation and its parameters is given in [4]. Z'he
flow of the active medium in the BEL ia usually turbulent. The Reynolds number
- Re 104 significantly exceeds the critical value of Rep = 2�103 in the ex�
perimental installation. A stable cavity configuration was used whose optical
- axis was either combined with the lower flow boundary of the discharge zone
(a "combined cavity"; in this case the discharqe was excited in an air-C02
mixture) or was located at a distance of 15-20 man down the flow from the C02
mixing collector to the vibrationally-excited air flow ("dispersed cavity").
The cavity was formed by two opaque spherical mirrors and the emission.was
' released by means of a planoparallel plate o� KC1, installed between the
mirrors at an angle of 451 to the optical axis. In this case, the transverse
modes were selected by using diaphragns installed in front of one of the
cavity mirrors. The cavity was arranged on a vibration-insulated suspension
~ 7
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in a vacuum chamber adjacent to the channel of the flow-through part of the
laser. The cavity configuration was selected as stable to avoid development
of autooscillation of the generation mode, inherent to fast-flow lasers with
unstable cavities [5].
The output power was measured, the emission field distribution in the trans-
- verse section of the beam was recorded and oscillogram.s of the variable com-
- ponent of discharge flow, output power and relative percentage modulation
were photographed in the experiments. The frequency spectrum of discharge
current fluctuations and output power was analyzed by using a spectral analyzer
of type S4-12. Mareover, the dependence of the amplification factor on the
- optical axis of the cavity on pumping current was measured prior to measuring
- the characteristics of output emission, which made it possible to link the
observPd emission characteristics to the excess above the generation thresh-
old in processing the results. The output power was measured by using stan-
dard devices of type IMO-2, IOMP or calorimeters, the emission fluctuations
were recorded by using a cooled photoresistor of type FSG-223, while current
fluctuations were measured by a resistance shunt. 7.'he transverse emission
field distribution was recorded on thermally activated photographic paper [6]. _
Taking oscillographs of the BEL emission showed that random modulation of
emission, the depth of which varies over a wide range, is almost always ob-
served in practice. Typical oscillograms of the integral emission and dis-
_ charge current fluctuations are presented in Figure 1.
J~ IOMB/den. _
YMC Q W fMC d
g -
- ~ 4'-_==~ lON
t ?OMB/dea
ft ?MC Jt iMc
~ b e lOac h
t 5DMB/den.
W 4NC W 4MC f 1.
Figure 1. -
To explain the effect of fast transverse pumping of the active medium on the i
dynamic characteristics of emission, comparative measurement of the emission
characteristics were made in an ordinary tubular C02 laser with weak pumping i
of the medium, excited by a longitudinal DC electric discharge, along the
optical axis of the cavity (Re x leofsthellasersinfthelm~ainltransverse ~
of discharge current Ir during operation -
mode and at a single spectral line are presented in Figure 1, d and e, for
this case. The similarity of the oscillograms and the identity of the emis- _
sion �luctuation and discharge current spectra indicate that the emission _
fluctuations observed in this casp are related mainly to current instability.
The relative instability of output power does not exceed approximately 1 per-
cent at current instability of approxi.mately 2 percent. _
_ 8
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An oscillogram of tbe variable component of BEL discharge current is pre-
sented in Figure 1, a. Fluctuations at frequency of 300 Hz are determined
by the electrical circuit of the power supply source. Tkie relative ampli-
tude of these f'luctuations comorises approximately 2 percent. Fluctuations
of the kilohertz band are easily discernible on the oacillogram of the vari- _
able component of current on an individual electrede Ii (Figure 1, b) besides =
- fluctuations at frequency of 300 Hz. The reason for these fluctuations is
- apparently local random oscillations in the gas discharge plasma, caused by _
, turbulent gas-dynamic fluctuations which are described in [7]. The fact
that no kilohertz fluctuations are observed in the complete current spectrum
may be explained by the absence of correlation of turbulent fluctuations
- throucrh the volume of the laser discharge chamber. The oscillogram of the ~
emission fluctuations of a BEL with combinzd cavity (P'igure 1, c) is similar -
ta the current oscillogram on an individual electrode (Figure 1, b). The
fluctuation spectra are similar to each other and attenuate with an increase
of frequency. The similarity of the current and emission fluctuation spectra
indicates the weak influence of averaging along the optical axis and the
absence of averaging during motion of the resulting inhomogeneity through -
the discharge. The observed frequencies of kilohertz emission fluctuations
permit one to estimate the typical correlation dimension of inhomogeneity L
in the flow: L,- (v/~ - 1), where J is the typical fluctuation frequency,
v is the flow velocity and 1 is the dimension of the transverse mode in the -
cavity. This formula was found on the assumption that the emission fluctua- _
tions occur upon intersection of the generation zone by moving inhomogeneitya
For a combined cavity under typical experimental conditions, L N 10-17 mm.
W%
- 1 Z 3 Ko/Kn
Figure 2.
Measurements of the relative percentage modulation of the output power LW=
' _I Wm - W) /W (Wm is the maximum or minimum and W is the mean value of
emissive power) showed that A W decreases with an increase of pumping in
the given emission mode. Oscillograms are presented in Figure 1, g-i and
the dependence of output emissivity (1) and AW(2) in the main transverse ~
- mode on the value of je = KO/KP, where Kp is the wea}G sa.gnal amplification
- factor and Kp is the threshold value of the amplification factor on the
optical axis of the cavity (de = 1.25, 2.5 and 4.3, respec.tively, in
Figure 1, g-i), is presented in Figure 2. The functions observed in Figure 2
are explained by the nonlinear interaction of the inverse medium with the
emission field inside the cavity. Actually, if the expression for output
- power from [8] is simplified by disregarding the relaxation processes on the
transverse mode.dimension, we �ind W= 0(v(1 + XN/XC) F, where p( is the
numerical coefficient, XC and XN are the partial volumetric C02 and N2
- ~ 9
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,1
concentrations, while function F satisfies the equation F= oe. (1 - e-F).
r'rom the expression for output power, it is easy to find
A W-= 0r+ LN1C+ A.A (1 - xe-- F)- I �
- For x_>1Azv Do -i- 0 xc oX , and near the generation threshold it is described
by a hyperbolic function: AW==Ax/(x-->) . Comparison of the emission fluctuations
- of combined (see Figure 1, c) and dispersed (Figure 1, f) cavities shows that
_ the fluctuations are higher frequency with completely identical configuration
in a dispersed cavity, which is apparently related to the turbulizing effect
- of the C02 mixing collector. Analysis af the typical dinension of turbulence
- yields in this case L= 3-6 mm, i.e., a value similar to the dimensions of
the tubes of the mixing col].ector.
Conversion to generation in higher-order transverse modes having large volume
leads to a decrease of p W, which is apparsntly related to averaqing of
~ perturbations through the field volume inside the cavity.
Thus, the volume of the generating mode must be increased and one must work
in the significant excess mode on generation thresholcl (de 3) where linear
dependence of the emission fluctuations on perturbations is observed, to
increase the emission stability of a steady BEL, besides vibrational insulation
of the cavity design. A further increase of stability can be achieved by in-
creasing the stability of the power supply source, improving ihe flow param-
eters of the mediu,-n and the pumping homogeneity in the BEI, channe?.
EIBLIOGRAPHY
1. Abdumalikov, A. Kh. et al, in: "III Respublikanskaya konferentsiya
molodykh fizikov AN UzSSR" [Third Republic Canference of Young Physicists
of the Uzbek SSR Academy of Sciences], Tashkent EAN, 1976.
2. Artamonov, A. V. and V. G. Naumov, KVANTOVAYA ELEKTRONIKA, Vol 4, 1977.
3. Yodev, M. J. and D. R. Ahouse, APPL. PHYS. LETTS., Vol 27, 1975.
4. Artamonov, A. V., A. A. Vedenov, A. F. Vitshas and V. G. Naumov,
KVANTOVAYA ELEKTRO;VIKA, Vol 4, 1977.
5. Dreyzin, Yu. A. and A. M. Dykhne, PIS'MA V ZhETF, Vol 19, 1974.
6. Advertisement of State Optical Institute imeni S. I. Vavilov, KVANTOVAYA
ELEKTRONIKA, Vol 5, 1978.
7. Akishev, Yu. S. and A. P. Napartovich, FIZIKA PLASMY, Vol 4, 1978.
8. Vedenov, A. A. and A. P. Napartovich, TVT, Vol 12, 1974.
[ ] 56-652 ] ]
COPYRIGHT: Izdatel'stvo "Sovetskoye radio", "Kvantovaya Elektxonika", 1979.
10 6521 FOR OFFICIAL USE ONLY
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I~~LI~~C'I.'ItTCI.'1'Y /1N1) M\(IN11l.'I.iM
UDC621.378.324
' INVESTIGATING THE ACTIVE MEDIUM OF A FAST-FLOW C02 LASER WITH NON-SELF-
SUSTAINED DISCHARGE
i
-i Moscow KVAIVTOVAYA ELEKTRONIKA in Russian Jol 6 No 7, Jul 1979 signed to
-I press 9 Oct 78 pp 1442-1445 -
I -
i [Article by A. V. Artamonov, V. G. Naumov, L. V. Shachkin and V. M. Shashkov]
I [Text] The characteristics of,the active medium of a C02
~ laser, excited by a non-self-sustained combined discharge with ionization of the medium.by short electric pulses in
a flow of a C02-N2-He flow, were investigated. The depen-
dence af the maximum energy contribution, amplification
I factor and heating of the gas on the composition of the
mixture were measured. It is shown that a specific energy
contribution of approximately 450 J/q with exci.tation effi-
ciency of nitrogen and carbon dioxide oscillations of ap- _
- proximately 90 percent can be realized with the pumping
method used.
Investigating the characteristics of a non-self-sustained combined discharge
(NKR) with ionization of the medium by short electric pulses [1, 21 showed
the promise of its application for pumping the working med,ia of fast-flow gas
lasers. The NKR with large gap realized in [2] is of especially great inter-
I est for development of powerful closed-cycle groduction C02 lasers. However,
- the dependence of the maximum energy contribution on the carbon dioxide con-
centration was not investigated in [2], the problem of the energy balance in
I the discharge was left open and the comparatively low dimensions of the in-
i vestigated discharge chamber (RIC) did not permit the use of the results ob-
-i tained in developing the use of the results obtained in developing large-
' size installations. Moreover, the amQlification factor of a weak sigaal,
knbwledge of which is necessary when designing a cavity, was not measured
- in [2]. The purpose of this paper was detailed investigation of the ar.tive
medium excited by the NK2 to justify the use of the given pumping method in
- production C02 lasers.
' 11
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30 '
S
.
Figure l. Diagram of Discharge Chamber: 1-- housingt
= 2-- cathode plate; 3-- anode; 4 and 5--
drain openings for measuring static pressure;
6--- openings for measuring ICUg. The arrow
indicates tne direction of pumping; the di-
_ mensions are given in millimeters.
Investigations were conducted in an RK, shown schematically in Figure 1. The
discharge in it was accomplished so that the dizection of the electron flow
- was perpendicular to the gas flow (the electrode system and the circuitry of
the RK power supp].y are similar to those used in [21). The anode was a flat
copper plate and the cathode plate was made in the form of a block of copper
rods 3 mm in diameter, built into the insulatinq plate with spacing of 10 rcmi.
The block consisted of 14 rows of rods at right angles to the flow and there
were 24 rods in each row. The distance between the anode and cathode plate
comprised 100 mm, i.e., the volume of tne discharge zone was approximately -
3.4 liters. Each rod had an individual balanced resistar of approximately -
2.7 kohms. The RK power suppiy was from a stationary regulated voltage source ~
and 100-ns voltage pulse gene:rator with reaurrence frequency up to 20 kHz. ~
The gas mixture was pumped by a vacuum pump system.
_ The integral electric characteristics of the discahrge were measured by ex-
tended methods, the gas heating in the RK was measured by the'4as-dynamic
thermometer" method [3] and the amplification factor was determined by probing
the active medium with the signal of a stable test laser operating in the cen-
ter of one of the lines of thp P- or R-branch in the band of 10e6 microns.
- The C02:N2:He = XcoY:0.5:0.5 mixture was mainly investigated and in this case
the carbon dioxide concentration Xco2 varied from 0 to 0.04 (i.n volume parts).
- The pressure of the mixture at the input to the discharge zone comprised
45 mm Hg and the flow velocity was 60 m/s.
The maximum energy contribution was dE:termined by transition of the discharge
to the inhomogeneoua combustion stage. The dependence of the maximum energy
contribution on the recurrence frequency of the ionizing pulses f and the
current density in the pulse fi was investigated. The investigations showed
that the first of these functions has a sloping maximum which shifts toward
the low frequencies with an increase of current in the pulse. The typical
_ dependence of the value of the volume-averaged discharge zone of the maximum
12 '
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enerqy contribiitioa W/G (hore W= S(U - QU) is the power contributQd to
the positive column of the glow discharge, U is the voltage in the discharge
gap, I is the discharge current, AU = 300 V is the sum of pre-electrode
potential drops [1] and G is the flow rate of the mixture through the dis-
charge zone) on the recurrence frequency of the ionizing pulses at different
values of ji is presented in Figure 2. The maximum specific energy contri-
bution of 450 J/g was achieved at ji = 0.45 A/cm2 and f= 3kHz.
w/o,!!xls 3
- 45
~ 1 �
35C ~ _
750 ~-4
0 1 4 f, Mru
Figure 2. Dependence of Maximum Energy Contribution on
= Ionizing Pulse Recurrence Frequency at ji =
0.15 (1), 0.3 (2) and 0.45 (3) A/cm2; C02:N2:He
0.017:0.5:0.5 Mixture.
The dependence of the maAmum energy contribution on the C02 molecule con-
centration was investigated at a frequency of f= 2kHz and ji = 0.3 A/cm2
(Figure 3). It was found that the maximum energy contribution W/G drops
linearly with an increase of XcoZ ; for example, it is equal to 410 and 330 J/g,
- respectively, at X~o = 0 and 0.025. It should be noted that although the
utilized pumping sysiem did not permit investigation of the maximum energy
characteristics at higher pumping rates, the results of [1] permit one to
- hope that an increase of flow velocity (at least up to 150 m/s) essentially
does not change the value of the maximum energy contribution W/G.
;
400
:50
'00
a
KB
75
5 . I
15
0
S !0 15 20 15 Xco=� l0'
- Figure 3. Dependence of Maximum Characteristics of Aischarge -
= W/G (1), U(2) and I(3) on C02 Concentration at
ji = 0.3 A/cm2 and f= 2 kHz.
1.3
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The main measurements of the amplification factor were made in the cross-
section lagging 45 mm behind the last row of cathode rods (see Figure 1)
over a wide range of working parameters. Gas heating was measured at the
same time in this cross-section. The amplification factor increased mono-
- tonically with an increase of W/G (for example, Kp = 0.45 m 1 for Xco2 = 1.7 -
percent and W/G = 350 J/g) and while slightly dependent on the value of
E/N (E is the mean electric f?eld intensity in the discharge and N is the
tot21 particle density) in the investigated range of E/N =(0.8-1.5)�10'16V'
�cm . For practical purposes the experimental function ISj(W/G) with an
error not exceeding approximately 20 percent can be approximated in the ~
range of W/G = 50-350 J/G by a straight line ICQ = o( �W/G WhQre o( ~
' = p( (Xco2) (Figure 4). The tendency toward saturation observed in this
- figure is related to the increasing role of relaxation processes.
ec � l0';� z/.(y,Qrrl
Figure 4. Deper.dence of Coefficient o( = KpG/W on C02
Concentration.
Simultaneous measurements of the amplification factor and gas heating made it
possible to determine the energy stored in the nitrogen oscillations and the
C02 antisymmetrical mode. The following expression was used in the calcula-
- tions for the amplification factor on the P-branch of the 10.6-micron band:
KexP 0,5588 J(J-1)/T r e, _ eXp 1,12J 1 X
o, IM-1)= B IX; 2JXcoz ti~_= ZT'l: l(t +es), ~
X(2+ Qal2J,
\ /
where J is the rotational quantum number, T is gas temperature, Xi is the
concentration of the i-th component of the mixture, Ac_1 is the relative
impact broaddning coefficients of the i-th component of the oscillatory-
rotational line, Z-1=16(1--e:)/ [(1-~-e3)(2--e.z);1 is the oscillatory statistical _
sum and e3 and e2 are the mean quantum numbers in the antisymmetrical and
deformation modes of the C02 molecule. The presence of a large amount of
helium in the mixture permitted the use of the oscillatory temperature of the
deformation mode equal to gas temperature; at the same time it was assumed _
that the mean quantum number in the antisymmetrical mode of the C02 is equal
to the mean quantum number in the N2. Coefficients Ac_i were taken as gqual
to 0.75 for nitrogen ~4] and 0.69 for helium [5]. 'I"he significance of co-
efficient P= 0.31�10 was determined on the basis of data on resonance ab-
sorption of emission at the center of the P-20 line of the 00�1-10�0 transi- _
tion of C02 in the atmosphere [6] (the absorption coefficient in the atmosphere
o� 0.072 km-1 at 300�K was used).
. 14
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Z �
;0 �----o-~
-P ?o
`q
0,5 ~
.p.''~'`r
D 1 2 d .t', %
Figure 5. Dependence of Energy Distribution at Distance of
45 mm from the Discharge Zone Down the Flow on
C02 Concentration: The results of processing the experimental data, carried out near the maximum
value of parameter E/N = 1.25 x 10-16 V�cm2 (maximum energy contribution of `
250 J/g), are presented in Figure 5. The error in measuring the value of Kp
did not exceed 5 percent in this case (the error in determination of TCp in-
creases due to its smallness at small values of the maximum energy contribution).
tion). In Figure 5, q 1 is the fraction of energy contributed to the posi-
tive dispharge column, expended on gas heating to the cross-section in which
Kp is measured and 1 2 is the fraction of energy stored in the nitrogen _
- oscillations and in the C02 antisymmetrical mode, found from measuring Kp.
It is obvious that the value of -10 = Y?1 + 112 is approximately constant
(within the range of ineasurement error of approximately 10 percent) and is
close to unity; this indicates that the processes which lead to gas heating
and excitation of nitrogen oscillations and of the C02 antisymmetrical mode
exhaust all possible energy loss channels in the discharge. We note that the
, value of 770 decreases somewhat with an increase of C02 concentration, which
- may indicate the increasing role of an energy loss channel not taken into
account in our consideration, but this variation is within the range of ineas-
urement error and we cannot reliably judge it. _
Measurements of profile Kp down the flow and of gas heating beyond the dis-
charge zone permitted determination of the relaxation time of the oscillatory
energy stored in the N2 molecules and the C02 antisymmetrical mode by two
independent methods. For example, it comprised 8.6 ms for the C02:N2:He =
= 0.017:0.5:0.5 mixture, which is somewhat higher than the values calculated
by the data for C02 relaxation in N2 and He, known from the literature [7]�
The use of the measured relaxation rate of vibrational energy permits one to _
estimate which part of the discharge energy went to excitation of N2 oscilla-
tions and the C02 antisymmetrical mode, but relaxed to heat to the cross-
section in which Kp is measured, and restoration of the effective value of
efficiency nk, i.e., the fraction of power contributed in the discharge to -
excitation of nitrogen oscillations and the C02 antisymmnetrical mode useful _
from the viewpoint of laser efficiency (according to our data, 7?k = 0.9 +
_ + 0.05 at E/N = 1.25�10'16 V�cm2).
15
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Thus, the energy balance in a non-self-sustained discharge was investigated
experimentally as a result of the conducted work. It is shown that the
- processes which lead to direct gas heating and excitation of oscillations
of nitrogen and the C02 antisymmetrical mode exhaust the energy loss channels
in the plasma of a non-self-sustained discharge in a C02-N2-He laser mixture
~ and the vibrational efficiency of the discharge exceeds 90 percent under
typical experiment conditions. The integral characteristics of the active
medium were investigated. The possibility of achieving specific energy con-
tributions at the level of 400-450 J/g is shown on an example of a niodel of
- a production COZ laser and the amplification factor of a weak signal was
measured over a wide range of operating conditions. The scale of the con-
ducted experiments permits the use of the derived data to design powerful
production C02 lasers based on the given pumping method.
BIBLIOGRAPHY
1. Naumov, V. G. and V. M. Shashkov, KVANTOVAYA ELEKTRONIKA, Vol 4, 1977.
2. Napartovich, A. P., V. G. Naumov and V. M. Shashkov, PIS'MA V ZhTF, Vol 3,
- 1977. .
3. Vedenov, A. A. A. F. Vitshas et al, Vol 14, 1976.
4. Patty, R. R. et al, APPL. OPTICS, Vol 7, 1968.
5. Danilov, V. V. et al, ZHURN. PRIKL. TEKH. I TEKHN. FIZ., No 6, 1972.
- 6. Aref'yev, V. N. and N. I. Sizov, KVANTOVAYA ELEKTRONIKA, Vol 4, 1977.
7. Losev, S. A. and V. N. Makarov, KVANTOVAYA ELEKTRONIKA, Vol 1, 1974.
[156-6521]
_ COPYRIGHT: Izdatel'stvo "Sovetskoye radio", "Kvantovaya Elektronika", 1979
6521
CSO: 1862
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CI,ECT.RICITY AND MAGIV9rI3M
i UDC621.378.324
THE MECHANISM OF DIRECT HEATING OF A C02-N2-He LASER MIXTURE IN A NON-SEI,F-
SUSTAINFD DISCHARGE
Moscow KVANTOVAYA ELEKTRONIKA in Russian Vol 6 No 7, Jul 1979 signed to
- press 27 Oct 78 pp 1446-1451
= [Article by I. V. Kochetov, V. G. Naumov, V. G. Pevgov and V. M. Shashkov]
,I [Text] The results of experiments to determine the fraction
i of energy contributed to direct heating of a C02-N2-He laser
mixture under conditions typical for a nnn-self-sustained
j ' flow discharge, and calculation-theoretical analysis of
~ the possible electron energy loss channels which lead to
direct heating are presented. A new value is found for
the excitation cross-section of the 0110 level of the C02
I molecule by electron impact.
~ Interest in study of a glow discharge in the flow of a laser mixture was
increased with reqard to active development of investigations in laser tech-
nology. Calculated data found by solving the Boltzmann equation for the
electron distribution function are usually employed when analyzing the elec-
tron energy losses in the plasma of a glow discharge (see, for example, [11).
This problem has been little investigated experimentally.
The purpose of this paper was experimental determination of the energy frac-
tion contributing to direct heating of the C02-N2-He laser mixture under con-
ditions typical for ,a non-self-sustained glow discharge and calculation-
theoretical analysis of the possible electron energy loss channels which lead
to direct gas heating.
~ The experiments were conducted on a model of the discharge chamber of a fast-
' flow continuous C02 laser with combined discharge pumping of the laser mixture
~ [2]. The use of a combined discharge made it possible not only to.increase
~ the specific energy contribution compared to pumping by a self-sustained dis-
~ charge, but also to regulate thp electron temperature at given electron con-
i centration. The discharge chamber was a rectangular channel With cross-section
� of 100X200 mm with electron system in it similar to that used in [2]. The
i anode was a flat copper plate 20 cm wide and 50 cm long. The cathode was made
I ,
17
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in the form of a body of copper rods built into the dielectric plate with
spacing of 1 cm (14 rows at right angles and 24 rows along the flow). The
interelectrode gap was 10 cm. The main measurements were made in a
C02:N2:He = X-.:0.5:0.5 mixture, where Xc varied from 0 to 0.04 (in parts by
volume). ThEypressure of the mixture at the input to the discharge zone
comprised 45 mm Hg and the flow velocity comprised 60 m/s.
It is Y.nown (ll that the energy contributed to the positive column of a glow
discharge is distributed in a C02-N2rHe mixture along the following main
channels: 1) elastic electron and ion scattering on helium atoms and N2
and C02 molecules; 2) electron scattering on N2 and C02 molecules wit.h exci-
- ta.'cion of rotational states; 3) excitation of vibrational levels of the
symmetrical and deformation modes of the C02 molecule by electron impact;
4) excitation of the vibrational levels of the N2 molecule and of the asym-
- metrical mode of the C02 molecule by electron impact; and 5) excitation of
the electron levels of N2, He and C02 by electron impact. The electron
energy losses through channel 1 lead directly to gas heating. Since the
rotational relaxation times on the order of gas-kinetic and the relaxation
time of the energy stored in the symmetrical and deformation modes are much
less under our conditions than the gas transit time through the discharge
- zone due to rapid relaxation of the 0110 level of the C02 molecule upon
collision with helium [3], channels 2 and 3 also lead to gas heating in the
- discharge zone. Z'he energy stored in the vibrational levels of the N2
molecules and the asymmetrical mode of the C02 molecule is converted to heat
under our conditions due to the collision relaxation during times on the
order of the gas transit time through the discharge zone, so that gas heating
through channel 4 may be assumed slow. The electroii energy Iosses through
channel 5 at typical values of E/N < 2�10-16 V�cm2 (E is the electric field
intensity and N is the gas concentration at the input to the discarge zone)
for our conditions can be disregarded [1]. Z"hus, under our conditions the
energy contributed to the gas through channels 1-3 is completely converted
to heat in the discharge zone and leads to direct (instantaneous) gas heat-
ing in the discharge, while channel 4 leads to slow gas heating both in and
' beyond the discharge zone (down the flow). This difference in the typical
heating times was used to determine the energy fraction contributing to
direct gas heating.
BO
60
40
?0 ,
0 100 100 w/C, ,Qar/t
Figure 1. Dependence of Specific Gas He�ating in Discharge Zone
A/G on Specific EneXgy Contrib;ition W/G (XC = 0.017)
18
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Gas heating in the discharge zone (based on L1 = 28 cm) and beyond it
(based on L2 = 19 cm) was measured by the gas�dynainic thermomQter method (4].
The use of a combined discharge made it possible to conduct measurements in
the region of E/N =(0.6-1.6)�10-16 V�cm~ at different levels of the specific
energy contribution to the positive problem in the non-self-sustained dis-
charge phase (up to 350 J/g). Gas heating due ta pulsed discharge was low
= and was taken into account similar to [5]. The sum of the pre-electrode
potential drops was assumed equal to 300 V.
The power Q contributing to qas heating was calculated by the formula derived
on the same assumptions as in [5]:
Q _ S= 1CiYt (1)
G 'd2
where S is the discharge cross-section with respect to flow, G is the flow
rate of the mixture through the discharge zone, pl is the pressure at the
input to the discharge zone, 6 p is the static pressure drop during deduc-
tion of the drop caused by friction and heating by a pulsed discharge, Xi
is the relative concentration of the i-th component of the mixture and Y i
is the index of the aaiabatic curve.
The dependence of the value of specific gas heating in the discharge zone
Q/G on the specific energy contribution W/G (W is the power contributed to
the positve column in the non-self-sustained discharge phase) at different
- values of E/N is presented in Figure 1. The gas temperature at the input to
the discharge zone was maintained at 273 + 3�K. The investigations showed
that the dependence of Q/G (W/G) is linear within the range of ineasurement
accuracy (the error of a single measurement 4 10 percent) over the entire
ir.vestigated range of W/G and E/N despite variation of the gas temperature
' along the length of the discharge zone. Gas heating in the discahrge zone
leads, on the one hand, to an increase of E/N along the flow (up to 15-20
percent at maximum values of W/G) and to a corresponding decrease of direct
heating (see below) an.9, on the other hand, it leads to an increase (by 10-15
percent at the maximum) of the relaxation rate of the energy stored in the
vibrational degree of freedom of NZ and the asymmetrical C02 vibrational
- mode and to the corresponding increase of gas heating along channel 4. These
two effects are minor under our conditions and have the same different sign
which leads to the linear function Q/G (with accuracy up to 10 percent) 3n
Figure 1. The value of 'Y( 1= Q/W, determined by the slope of straight line
Q/G(W/G) is related both to large values of W/G (200-300 J/g) and to small
- values 100 J/g) at which the effect of gas temperature variation on the
heating rate can be previously disregarded. Therefore, one may assume that
_ the values of y11 ca::r,ulated from Figure 1 are related to the values of
= E/N, determined at the input to the discharge zone. The dependence of 711
- on E/N found in this manner is presented in Figure 2.
19
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ct
Q35 ~
,c j0
G.ZD ~
L
.9.e wB %0 1,? (E/N)�JO'6B�cn~
Figure 2. Dependence of Fraction of Power Contributing to
Gas Heating in Discharge Zone on the Given Field
Intensity (XC = 0.017)
The dependence of the fraction of power 712 contributing to gas heating
beyond the discharge zone based on L2 on the value of EJN, determined in a
similar manner, is presented in Figure 3. We note that E2 was determined
in modes when the total heating based on L1 + LZ did not exceed 40�K, so
that variation of the relaxation rate caused by variation of gas temperature
apparently did not exceed 5 percent. Then the fraction of power contributing
_ to gas heating in the discharge zone and based on LZ can be determined by the
following re].ations:
llo) ~p I 1 - exp ~ - (2)
u~rp1J _
L!
(1- exp ( - vzp) ~ (3)
where 710 is the fraction of power contributing to direct gas heating, v is
the flow velocity and 'Cr is the relaxation time of the vibrational degrees
of freedom of N2 and the C02 asymmetrical vibrational mode.
D,16 ~
0,14
D,11
0,6 0,8 1,0 (E1N)�10 ;sB�CNZ
Figure 3. Dependence of Fraction of Power Contributing to
Gas Iieating Beyond the Discharge Zone on the Given
- Field Intensity (XC = 0.017)
The measurements showed that '42/(1 1), as one would expect, does not
depend on E/N over the entire investigated range, which made it possible to
calculate the rate of energy relaxation contributed to the gas along channel
4, determined under our conditions by the rate of quantum exchange of the
asymmetrical mode of the C02 mole^ule for quanta of the symmetrical and
deformation modes during collisions with He atoms and N2 molecules. The
20
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rate constant which we determined for this process (p f r)-1 = 0.035
(microns�atm)-1, which is somewhat below the known [6] values of the
quantum exchange rate during collisions of C02 molecules with both helium
and nitrogen.
Utilizing the value of .C r which we determined, one can calculate the frac-
tion of the power contributing to direct heating and which is the sum of the
energy losses to elastic collisions and excitation of rotations and lower
vibrational levels of the C02 molecule.
We made numerical calculations using a computer to determine the relative
contribution of different channels to the observed direct heating of the
investigated mixtures in an electric discliarge. Analysis of the heating
channels was made on the basis of solving the Boltzmann equation for the
electron energy distribution function under conditions of an 2lectric dis-
charge plasma.
I
4940 42 1,3 e,3B
~
q16
494
1 1 d (E/N)�!o;�ecnt
Figure 4. Dependence of Fraction of Power Contributing to
Direct Gas Heating on the Given Field Intensity
for Nitrogen: O-- experiment; solid line
calculation
It should be noted that the main component of the mixtures considered in the
given paper is nitrogen; therefore, we attempted to achieve better agreement
of the calculated and observed value of gas heating under conditions of an
electric discharge in nitrogen than occurred in our previous investigations
[5, 7]. The main direct heating ctiannel under these conditions is the pro-
cess of rotational excitation of the nitrogen molecule. Whereas it was
difficult to select a more reliable value than that obtained on the basis
of the Fisk model potential [8] for the excitation cross-section of nitrogen
molecule rotations by the moment the calculations were made (7], the situa-
tion is now changed. Comparison of the experimental and calculated values
of direct gas heating in an electric discharge in nitrogen when the calcu-
lated value from [9] was selected for the excitation cross-section of the
nitrogen molecule rotations is presented in Fiqure 4. Good agreement of
calculation with experiment indicates the correctness of this selection.
21
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Addition of helium to the nitrogen in the range of low values of E/N leads
= to additional. gas heating due to elastic energy losses by the electr_ons of
the gas-discharge plasma in the heliun atoms. Z'he heating channels in the
N2:He = 1:1 mixture are presented in Figure 5. `
'lo
q S
:
- ql0
ol D,6 4 8 1,0 (f/N)�1016B�cHz
Figure 5. Dependence of Fraction of Power Contributing to
Direct Gas Heating on the Given Field Intensity
for the N2:He = 1:1 Mixture: O-- experiment; r
solid lines calculation of elastic losses (1), _
- losses to rotational excitation (2) and their _
sum (3)
- An additional heating channel appears under our conditions in a ternary mix-
ture containing C02 due to rapid relaxation of the lower vibrational levels
of the C02 molecules, excited in the discharge hy electron impact (Figure 6).
The values from [10], with the exception cross-section of the 0110 vibrational
level, were used in the calculstions from the excitation cross-sections of
the C02 *:oiecules. The energy dependence obtained in F3orn approximation was
used [10] for this value, but it was noted that there is some arbitrary
selection of the shape of this cross-section in the energy range from thresh-
old to 3 Ev which does not contradict the existing experimental data.
- Systematic underestimation of the value of heating compared to experiment
in the range of low values of parameter E/N (the dashed line in k'igure 6) was
observed in our calculations in the case where all the cross-sections were
taken from [10]. This underestimation exceeds the value of experimental
error and can be explained by the underestimated value of the excitation
cross-section of the 0110 level near the threshol.d enerqy values. To explain
our experiments, the shape of the excitation cross-section of the 0110 level
- of the C02 molecule should be close to that qiven in Figure 7(curve 3). To
datermine the excitation cross-section of the C02 I-evel (0110) upon electron
impact, besides the requirement of ma.tching of the calculated an measured
values of heating, the requirement of matching the calculated and measured
values of the kinetic electron coefficients in the plasma of an electric dis-
charge in pure C02 was also applied. Detailed analysis of the experim2ntal
- values of the kinetic electron coefficients for this-case is-given fn [10].
22
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'lo 0
0,10 \ \
0,l5 o
~
D,10 1
~ e
0, 05
J0
0,5 9,8 1,0 1,2 (E1N)�1,7;68CMZ
Figure 6. Dependence of Fraction of Power Contributing to
Direct Gas Heating on the Given Field Intensity
for the C02:N2:He = 0.017:0.5:0.5 Mixture: O--
experiment; dotted lines calculation with new
excitation cross-section of 0110 levelj 1--elas-
tic losses; 2-- losses to rotational excitation;
3-- losses to excitation of lower C02 levels;
4-- sum of 1, 2, and 3; dashed line total gas
heating with cross sections for C02 from [10]
chr �
3
1
1
' 0 1 '1 j 4 U, 3B
Figure 7. Excitation Cross-Section of 0110 Level of C02
Molecule From [10] (1)f [14] (2); from
the given paper (3)
I
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It is interesting to note that cross-sections having a typical peak in the
- prethreshold energy range were found in experimental papers [11-13] where
the excitation cross-section of the vibrational mode of the dipole molecules
was investiqated. General principles are obvious in the shapes of these
cross-seczions and those which we found (see Figure 7). However, the C02
molecule has no dipole moment in the ground state, whereas it has a large
induced dipole moment. Hence, one may assume that similar principles in
the shape of the excitation cross-sections of the vibrational levels, be-
- sides dipale molecules [11-13], are also inherent to the molecules having
large induced dipole moment. However, this hypothesis requires further
experimental and theoretical checking.
The calculated results for heating in a mixture containing 1.7 percent C02
- (see Figure 6) were found with a new excitation cross-section of the C02
level (0110). The measurements made at different values of C02 concentration _
showed that qualitatively the function 'Y(p(E/N) varies insignificantly over
the entire investigated range of XC = 0-0.04 (and the values themselves of
il 0 at fixed value of E/N). Thus, one may conclude that the vibrational
efficiency of a non-self-sustained discharge in mixtures with ioC~6 V cnte m2nt "
- (less than 5 percent) exceeds the value of 90 percent at E/N /
decreasing appreciably with a decrease of E/N.
8i /8z
1, 0
0, 5
Figure 8. Relative Electron Energy Losses in the Discharge _
Plasma in C02 to Excitation of Rotations (1), mnO
Modes (2), The 001 Level (3), Electron States (4)
and to Ionization (5) '
dis-
Rotational excitation processes of C02 molecules, which weregciable previouslyeffect '
regarded (see [10] and the references in it) may have an appr on the energy balance at large C02 concentrations and low values of parameter -
E/N. The eneryy balance in a gas-discharge C02 plastna with regard to rota- ~
tional excitation of the molecules is presented in Figure S. The results
of [9] ware used in the calculati.on for the rotational excitation cross- -
section of C02 molecules upon electron impact. 7.'he calculations are valid Y
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on the assumption of 1- T/Te ~ 1(T is gas temperature and Te is electron =
_ temperature). It is obvious that the r_otational excitation of C02 molecules
by electron impact must be taken into account at a value of parameter
E/N < 10-16 V�cm2. -
- In conclusion, the authors express gratitude to A. P. Napartovich for initi-
ating the given investigation and useful discussions and to L. V. Shachkin
for assistance in conducting the experiments.
BIBLIOGRAPHY
1. 1lighan, W. L., PHYS. REV. A., Vol 2, 1970. -
2. Naumov, V. G. and V. M. Shashkov, KVANTOVAYA ELEKTRONIKA, Vol 4, 1977.
. 3. Taylor, R. L. and S. Bitteman, REV. MOD. PHYS., Vol 41, 1969.
= 4. Vedenov, A. A., A. F. Bitshas, V. Ye. Gerts and V. G. Naumov, TVT,
Vol 14, 1976. �w -
5. Napartovich, A. P., V. G. Naumov and V. M. Shashkov, DAN SSSR, Vol 232,
' 1977.
6. Losev, S. A. and V. N. Makarov, KVANTOVAYA ELEKTRONIKA, Vol 1, 1974. 7. Karlov, N. V., Yu. B. Konev, I. V. Kochetov and V. G. Pevgov, FIAN
Preprint No 91, Moscow, 1976; Yu. B. Konev, I. V. ?Cochetov, V. S.
Marchenko and V. G. Pevgov, KVANTOVAYA ELEKTRONIKA, Vol 4, 1977.
8. Oksyuk, Yu. D., ZHETF, Vol 49, 1965. ~
9. Morrison, M. A. and N. F. Lane, PHYS. REV., Vol 16, 1977.
10. Pevgov, V. G.,Candidate Dissertation, Ng'TI, 1977.
11. Rohr, K. and F. Linder, J. PHYS. B.; ATOM. MOLEC. PHYS., Vol 9, 1976.
12. Seng, G. and F. Linder, J. PHYS. B.; ATOM. MOLEC. PHYS., Vol 9, 1976.
13. Rohr, K.k J. PHYS. B.; ATOM. MOLEC. PHYS., Vol 10, L399, 1977.
14. Lowke, J. J., A. V. Phelps and V. W. Irwin, M. APPL. PHYS., Vol 44, 1973.
[156-6521]
COPYRIGHT: Izdatel'stvo "Sovetskoye radio", "Kvantovaya Elektronika", 1979 -
. 6521 - cso: 1862
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EIECTRICITY AND MAGNETISM
UDC621.378.33
THE CHAIN MECHANISM OF EXCITING A CONTINUOUS CHEMICAL HF LASER WITH CYLIN-
DRICAL NOZZLE
Moscow KVANTOVAYA ELEKTRONIKA in Russian Vol 6 No 7, Jul 1979 signed to
press 5 Nov 78 pp 1476-1483
_ [Article by A. A. Stepanov and V. A. Shcheglov, Physics Institute imeni
P. N. Lebedev of the USSR Academy of Sciences, Moscow] ;
[Text] Based on solution of the Navier-Stokes equations
for a chemically reacting mixture (in approximation of the `
boundary layer), the characteristics were investigated with '
regard to the vibrational processes and radiation kinetics -
and the energy capabilities of a continuous chemical HF
laser with cylindrical nozzle were analyzed in the case of ;
realizing the chain excitation mechanism. It is shown that _
- selection of the optimum configuration of the ring model -
during chain pumping permits one 1) to significan;tly neu- ;
- tralize the thermal effect ana to accomplish transition to i
- higher static pressures in the cavity zone; 2) to realize 1
' very high specific-energy laser parameters; and 3) to ap-
preciable increase the efficiency of the laser-energy complex ;
as a whole.
1. Introduction
The majority of papers on continuous chemical lasers based on hydrogen halides
- was until the preaent devoted to supersonic"HF(DF) lasers with single-act
excitation process F+ H2(D2) -4 HF(DF) + H(D) (the "cold" reaction mechanism).
- The specific laser energy of these installations exceeds 100 J/g fsee, for
example, [1-31). The energy capabilities of supersonic hydrogen fluoride -
~ lasers based on the "cold" reaction are even now not exhausted [4], but the -
prospects for development of this class of systems is related to accomplishing
the chain excitation mechanism [5-8]:
- F--FHZ-->HF (v)-f-H, -OH1=31,Tkca7.�/nWle;�
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H-;-F,~-.HF (v)-f-F, --AHa=9,^,9 kcal/mola
. (2)
The first successful experiments on realization of chain pumping have a
continuous HF laser (with flat design of the nozzle) were reported in [9, 101.
Specifically, a specific laser energy level above 300 J/g was achieved in [101. _
The chain process (1) and (2) is attractive primarily due to the fact that
_ the potential reserve of the chemical energy released in the form of vibra-
tional energy of excited HF molecules when it is accomplished exceeds that
in the case of single-act pumping reaction (1). In this case the "hot"
~ reaction (2) becomes dominant in the energy sense. It follows from the fore- _
i going that in the case of a continuous HF laser based on the chain reactlon,
_i one can essentially expect an appreciable'increase of the specific energy
I parameters. However, there are specific difficulties in the path of develop- .
j ing this laser [5, 8]. One of tYiem is related to the significant heat release
~ in the cavity zone and because of this to the possibility of significant tem-
I perature and pressure gradients occurring. The latter circumstance may lead
, to closing of the supersonic channels (flow "crisis") and interruption of
generation [8]. Neutralization of the thermal effect requires adoption of
_I special measures: the use of intermediate diluent jets, spatial separation
of the oxidizer and fuel jets and so on. -
~ The characteristics were investigated in the energy capabilities of the con-
~ tinuous chemical HF laser with cylindrical nozzle and chain excitation
mechanism were analyzed for the first time in the given paper. It is shown
that the ring model with optimum configuration, neutralizing to a significant
degree the thermal effect in the cavity zone, permits one to realize very high
, energy parameters of this I-F laser. _
2. Manifestation of the Thermal Effect in a Supersonic Flow. Estimates for
a Chemical FF Laser.
Qaalitative consideration of the "thermal crisis" phenomenon can be made within
the framework of a single-dimensional model, which describes a supersonic flow
with premixed reagents. The equation for the Mach number M of the flow in
the channel with variable cross-section S(x) in the presence af thermal
sources has the form [11]
1 dlMI YM2 1 dQ 1 dS t dS (3)
Mi ~x - 1-M2 - C H dx - S dc S dx ~
J; where x is the coordinate along the flow axis, ~f = c/cv N const, cp arid
' cv are the molar specific heats a_ constant pressure and volume, H= cpT/W
, is the enthalpy of the mixture, T is temperature, W is the molecular weiqht
, of the mixture and dQ/dx is the specific rate of heat release.
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In the case of a section of constant cross-section (S = const), from (3)
we find
v�~ I
ln Ms 1-j- YMp v R~"r dQ (x) -
Mo 1--YM~ ~ cP J T~ ~41
0
where Mp is the Mach number in the cross-section x= 0. The known statement
follows from (4) : the Mach number deczeases (M C, M0) nhc flow R
constant cross-section upon approach of heat (dQ to suPersonic
(Mp > 1). Making use of the relation dQ cvdT/W, using (4) we find the
relationship between T and N1: T/To^(Aiz/Mo)y l(1--yMo)/(1--yM=)lvfl, (5)
where Tp is the initial gas temperature at x= 0.
~ For the critical flow mode (corresponding to the "thermal cutoff" of the
channel), one should assume M= 1 in (5), then
T*lT o...,Mo 21' [(1"'~...YM~21 /(1.+~Y\ ]Y--1, (6)
/ /
If tYie heat of reaction were determined in a fixed gas enclosed in a closed
volume, the maximum heating temperature would be determined by the relation
Co(-rmaz'To)= SoKQov , where Qp is the molar thermal effect of the reaction
between the oxidizer (F2) and the fuel (H2) and 4 ok is the molar fraction ,
of the oxidizer particles in the mixture provided that it is taken insuffi-
ciently with respect to the fuel (which is typical for continuous HF lasers). i
T* 7 Tmax due to flow retardation in a supersonic flow with the same heat
release. This circumstance permits us to determine the maximum permissible
oxidizer concentration in the flow:
- t� ~ coo 1m-2, (1 + Vo lY+! (7)
OK - ~ 1
We note that condition (7) is softened somewhat when the final mixing rate
of the reagents is taken into account. Let us consider two limiting cases:
1. In the case of "cold" pumping reaction (1), we have Qp ~e 32 kcal/mole.
Havinq substituted the typical values Mp 5-7, To x 300 K, Y x 1.5 ancl
Cv sl 4 cal/ (mole �deg) in (7), we find 4ok ~ 0.25-0.5.
2. We have Qp )e 130 kcal/mole with the chain mechanism of excitation (1)
and (2). Having assumed that Mp ~V 5-7, Tp x 150 K, x 1.5 and
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~v iz 4 cal/(mole�deg), from (7) we have 4ok 4, 0.035-0.07; conse-
quently, the "thermal cutoff" mode may be observed in a supersonic flow at
4 ok > 0.035-0.07 and in this case one should expect a temperature increase
to T* ~ 1500 K.
_ 3 I ~.nv
� (F F2, y2, He)
= 1
to� 1'1~ n2 ~ ~
- Figure 1. Simplified Diagram of Ring Model of a Continuous FF
- Laser: Z-- cylindrical nozzle; 2 and 3-- cavity
- mirrors
Relation (7), from the viewpoint of the occurrence of the critical mode, is
essentially the condition which limits the chemical enerqy reserve in the
flow. Having turned to equation (3), it is easy to see that the indicated
constraint may be appreciably weakened if the possibility of expansion
(dS/dx > 0) appears in the flow, for example: during radial flow of the gas
from a cylindrical nozzle (Figure 1). The subsequent sections of the paper
are devoted to study of the ring model of aHF laser.
3. Gas Dynamics Equations
The cylindrical nozzle of a supersonic chemical HF laser includes a large set
of coaxial small ring nozzles with alternatinq helium- and fuel-diluted (H2)
oxidizer jets (F and FZ); the flows travel in the radial direction and the
cavity is formed by ring-shaped mirrors (see Figure 1). The geometric struc-
ture of the nozzle is determined by the cylinder radius rp and the heiqhts
hl and h2 of the elementary ring nozzles for the oxidizer and fuel at r= rp.
The half-period of the cylinder block is determined by the relation h* = 1/2
(hl + h2
The gas dynamics equations in the cylindrical coordinate system (r, z) are
! written in the form (here we are limited by approximation of the boun3ax'Y
~ layer)
~
i a (Pur) + a (Pv) _ 0' (sa)
, ar aZ ~
~
--i
j
! Pua.+p~'a- -ap+azaz(8b)
; 29
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dh dh dp au 2 a dT a dCI
- Pua~+P�a=u~r+~'~a:~ +a:al+a(p~h, D1~l-
1 \ 1
(sc)
v
Pu a`+Pva `=w- I +a:(pD+a`l, (aa)
\ 1
where (8a) is the continuity equation, (8b) is the equation of motion, ($c) is
the energy equation and (8d) is the continuity equation for indivldual compon-
ents (i = F, F2, H, H2, He and HF(v), v= 0, 1,..., 8). The equation of state
supplements system (8)
_ p= pRT/ W. (9)
The following notations are introduced in (8) and (9): u and v are the radial
and axial components of the.velocitv vector; p, p and T are flow pressure,
density and temperature; h='htCi is the specific enthalpy of the mixture;
Ci = fP i/f~ is the relative mass c:oncentration of the i-th component; wi are
the terms aorresponding to the processes of chemical, vibrational and radiation
_ kinetics; W is the molecular weight of the mixture; and ixl XDt are fihe co-
efficients of dynamic viscosity, thermal conductivity and diffusion. See [4,
8, 12] for more detail about the structure of the individual terms, transfer
coefficients and velocity constants of the processes. It is assumed in the
given equations that diffusion is laminar in nature. The transverse pressure
gradient p/ a z= 0) was disregarded in the calculations.
With niunerical integration of equations (8) and (9), one may convert from
cylindrical coordinates r and z to variables E`' and utilizing the
Mises transform [13]:
purdz. (10)
With regard to (10), system (8) and (9) is transformed to the iorm
- h,
ro 1 I' purdz = const;
d~ (11)
a~- ( 0)2 a (PUIL ~l = - pu dg ; (12)
/
co ~ - ( 0~2 (pu~, ~l pu ~ ( J cpi pDi ~~l} = ot~T P d~ ~ (13)
\ \ 1 \ 1
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�
~
il
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I P = PRT!W;
(14)
I
~ ac, ~ 2 a ac~
~ a~ =(rol ~V(p2 puDta~) -}-P� (15)
i See [4] with respect to the structure of term wT.
I
~ Equation (11) corresponds to the law of conservation of mass in integral
i form. Differentiating (11) with respect to taking (14) into account
~ in this case and assuming that a p/ aIV = 0, it is easy to find
i
i
j 1 dp 1 aT 1 Bu i aW
_ p dt J( T 04 - u ag (16)
- a~ ) ~
~
I
~ System (12)-(14) and (16) is closed with respect to all the gas dynami.c vari-
ables (p, p, T and u) and is a system o� integrodifferential equations, for
solution of which iteration methods may be used.
The boundary conditions for the c omplate system of eq�aations (12)-(16) are
based on consideration of the periodicity o� the flow structure with respect
! to the Z-axis:
ou dT _ d p _ ' = 0 at. V= 0, V*. (17)
bh ~ Z~ V~
; The conditions at the output from the nozzle, i.e., at rp have the form
T=To(iP); P=Po(iN); P=Po; Ci=C0, (18)
We shall not dwell on problems related to processes of chemical, vibrational
and radiation kinetics (see [4, 8, 12]). Let us note only that, unlike [41,
chemical pumping in the considered case includes two links of chain process
(1) and (2). It is taken into account in this case that vibrational states
with v= 1-3 are excited in reaCtion (1) and states with v= 1-8 are excited
in (2). As in [4], it was assumed that the rotational deqrees of freedom of
i the HF molecules are in equilibrium with the foreward degrees of freedom.
i
4. Initial Data
1
The following parameters were fixed in the calculations: nozzle radius rp,
I the heights of the ring nozzles hl and h2, initial pressure pp, th;e degree
~ of helium dilution of the oxidizer p He =[He]/LF2]0, the degree of fluorine
dissociation a(F, initial pressure, temperature and velocity of the oxidation
~ (P1 Tl and ul) and reaction (p2e T2 arid u2) flows and the threshold
31
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amplification factor gp. The following values were taken in typical calcu-
lations for the indicated parameters: hl/h2 = 2, h* = 1/2 (hl + h2) = 0.25 cm,
' = 15 mm Hg, T= 150 K, T= 160 K, ul = u2 = 2.5 km/s,
HePl 10,2 0( F= 15 percent and gp ? 10-3 cm 1. The nozzle radius ro
varied within the range of 5-50 cm. In some calculations po and the degree
- af oxidizer dilution ~ E also varied. The characteristics of the calculating
method are also considered in [4].
5. Results of Calculations
The main results of solving the problem formulated above are presented in
- the given section. Figures 2 and 3 illustrate the variation of the mean val-
ues of the gas dynamic flow parameters with respect to the period o
nozzle structure in the cavity zone: temperature T*, pressure p* velocitY
u* and Mach number M*, and in this case the curves for T* and p* are given
in the absence of a cavity at AHe = 15 for retention of the general scale
(we note that a flow crisis is possible in the absence of a cavity from
calculations at 16 He -.q~ 10 and ro > 10 cm, but it is completely eliminated
by a powerful radiation field right up to ro -g 20 cm). As can be seen from
~ Figures 2 and 3, variation of the design canfiguration and the composition
of the mixture has an appreciable effect on the distribution of the flow
parameters in the active zone. The factor of radial expansion plays an im-
portant role at relatively small nozzle radii (ro brl & rl is ~e width
of the laser zone). In this situation expansion compensates for the thermal
effect, due to which variation of the gas dynamic parameters with respect to
flow is sufficiently smooth in nature. For example, at rp < 10 cm, the ex-
pansion factor is so significant that essentially no increase of temperature
and pressure in the radial direction is observed in the presence of a cavity
at PHe N 10 and in this case even an appreciable drop of them occurs at the
beginning of the zone. At large values of rp (rp much greater than A rl)�
the effect of radial expansion has a low effect within the width of the laser
zone. In the given situation the distribution of the gas dynamic parameters
essentially coincides with distribution in a flat design. Thus, a sharp
temQerature and pressure increase begins at ~ He N 10 even at distances of
A r= r- rp v 5-10 cm, which is accompanied by strong flow retardation
(see Figures 2 and 3, the curves for rp = 1 km). In this case, generation
is interrupted usually for a long time until the reagents are used up.
The typical distribution of the total radiation intensity in the active zone
is presented in Figure 4. Unlike a HF laser, the main photon scintiilation
occurs toward the end of the zone in the case of chain excitation in a"cold"
reaction. An increase of cylinder radius leads to contraction of the laser
zone (see E'igures 4 and 5, a).
The geometric factor which affects the gas dynamic and kinetic processes in
- a radially expanded flow also naturally affects the laser energy parameters.
It follows from Figure 5, b that there is an optimum with respect t~ rp with
fixed degree of fluorine dissociation oCF and degrEe of dilution ge�
Specifically, the opti.mum value of the radius comprises rp ' 15 cm at
32
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T,,, K
1600
1100
800
400
0 5 f0 15
d
W). K
r-ro _ fOcrr
1600 r~�fay~~
fZDO 20cni"'~~
BDD
~ lsc,y e
4bD ' ~
�------~-�a
0 4? 44 46 SV/fV*
b
Figure 2. Effect of Design Configuration on Distribution of
Mean Temperature of Mixture T* Along the Flow (a)
~ at A He = 10 (Solid Curves) and at A xe =~'s
; (Dashed Curve) and Temperature in Some Cross-Sections
(b) at AHe = 10; p0 = 15 mm Hg
I /3He or_- 10 and o( F N 15 percent. The width of the laser zone 0 rl Z 20 cen
correspon ds to t his va lue o f ro (see Figure 5, a). T he spec i f ic laser enerqy
comprises Eo ,'r 1 kJ/g with an optimum value of rp.
The presence of an optimum with respect to rp has the following explanation.
The flow temperature at the input to the cavity is very low: Tp N 130-160K
when realizing the chain mechanism o:E excitation of a continuous fF laser.
At these temperatures the chain reaction of hydrogen fluorination initially
develops very slowly and, moreover, the diffusion velocxty is low during
laminar mixing of the streams. At small values of rp, the radial expansion
factor compensates for the thermal effect so that the heat released in the
' reaction is sufficient to heat the mixture to temperatures of approximately
200-300K, at which the reaction accelerates appreciably. The indicated cir-
_i cumstances lead to appreciable extension of the reaction zone and accordingly
of the generation zone (see Figure 5, a). The energy parameters of a HF laser
i decrease with regard to the fact that the rate of deactivation of excited HF
~ molecules (in HF-HF collision processes) is very high at low temperatures [8].
On the other hand, the expansion factor is insignificant at large values of
! ro. In this situation, interruption of geaeration, as noted above, occurs
long before the reagents are consumed due to the sharp temperature and pressure
increase.
t
~
I �
33
I
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~
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AX , MH pk cm.
16D
- 120
BD
40
U
.r Q
6 3
4 --ZOcM
0
1 1 ~ 1X ~
~
0 5 f0 r- ro, cM
b
Figure 3. Effect of Design Configuration on Distribution Through
Pressure Flow p* (a) at A He = 10 (Solid Curves),
16 xe = 15 (Dashed Curve) and Mean Values by the Period
of Velocity Values u* and riach number M* (b) at
A He= 10% P0=15mmFig
- Thus, selection of the optimum nozzle radius plays an important role at fixed
values of p H and o(F. Specific optimization can be accomplished by vari-
ation of the gegree of dilution at fixed value of rp. Yt may be noted that
~ the dependence on specific energy Ep, the chemical efficiency nk}1im and the
given power P1 on rp is rather sharp in nature at small values of dilution
He ~7'10) and the optimum values of the indicated values decrease with
a decrease of B$e. The effect of rp is much weaker at large values of
~ He( > 15-20) since the thermal effects are manifested to g lesser degree.
Let us now turn to the results of investigating the dependence of the laser
energy parameters on pressure at the nozzle cutoff. It follows from the cal"
culations that the chemical efficiency and specific laser energy essentially
do not depend on pp at pressures of pp 10 rnm Hq, while the rec3uced qenera-
tion power decreases with a pressure decrease (Figure 6). Z"his uz4ns that
there is essei7tially complete mixing of the reaqents within the laser zone
under these conditions. Further, with laminar nature of mixinq the function
pl (po), as in the case of a"cold" reaction [4], has an optimtun which is ex-
plained mainly by the effect of thermal effects an the reagent diffusion rate.
- Finally, the values of 7?khim and EC, decrease -with an increase of pressure
at the cutoff (at p0 > 10 mm Hg, which is related to deterioration of the
34
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ti
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I, Kem/cM 1
TDO
100
0
Q
� I, KBm/cM 2
300
200
1190
.
0 5 167 r- rp, cM
b
Figure 4. Nature of Total Radiation Density Distribution
Along the Laser Zone for Nozzle Radius
of rp = 30 (a) and 15 cm (b) .(pp = 15 mm Hg and _
/3 He-10)
mixing conditions, on the one hand, and to reduction of the generation zone
on the other hand. Thus, mixing faster than laminar must be provided to _
operate in the higher pressure zone (pp .v 30-40 mm Hg). A reduction of the
width of the lase"r.zone can be compensated in this case by a reduction of
the deqree of dissociation of F2.
6. Conclusions
Let us fonnulate the main conclusions ensuing from the given analysis:
1. The configuration of the ring model permits one to realize conditions in -
the cavity zone for neutralization of the theraial effect and thus to success-
fully solve the problem of the "thermal" closing of supersonic channels.
2. Very high levels of chemical efficiency (approximately 10 percent)
specific laser energy (approximately 1 kJ/g) and corrected laser powes (approx-
i.mately 1 kW/cm2) can be realized with chain excitation at specific operating
modes of a ring HF laser.
3. The chain mechanism of excitation permits one to convert to higher static
pressures in the cavity zone (pp t( 15-25 mm Hg), which is exceptiottally -
impartant in solving the ejector problem.
35
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dr,j, cy
60
iiHe'IS
40
10
10
� 0
Q
FOr KAWI2
1,2 he =15
9,8
0,4
0 20 49 ra, cti
b
Figure 5. Dependence of Width of Generation Zone (a) and Specific
Laser Energy (b) on Nozzle Radius (pp = 15 mm Hg)
4. Realization of a chain HF laser permits a significant increase of the
efficiency of the laser-energy complex as a whole, i.e., the so-called total
efficiency of the system [8].
36
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'1xHM
Pn, ~Bm/cn2
0,16
.
0,17
1,2
0,OB
i
0,g ~
\
?Xnm
0,04
a
Ep, X,4Hf/2
'
1,6
dr~
1, Z
L
0, B
0,4
S
10
1b5 Po, MM Pm. cm.
Figure 6. Dependence of EYiergy Parameters of HF Laser with
Chain Excitation on Pressure pQ at the Nozzle Cutoff
( A He - 10 and rp = 20 cm)
BIBLIOGRAPHY
1. 5pencer, D. J., H. Mirels and D. A. Durran, J. APPL. PHYS., Vol 43, 1972.
2. Schulman, E. R., W. G. Burwell and R. A. Meinzer, AIAA Paper No 74-546,
1974.
3. Nagai, C. K., L. W. Carlsoiz, R. R. Giedth and R. D. Klopaten, AIAA Paper
No 74-684, 1974.
4. Stepanov, A. A. and V. A. Shcheglov, KVANTOVAYA ELEKTRONIKA, Vol 6, 1979.
5. Finkleman, D. and R. A. Greenberg, AIAA Paper No 75-297, 1975.
6. Warren, W. R., ASTRONAUTICS AND AERONAUTICS, Vol 13, 1975.
7. Orayevskiy, A. N., V. P. Pimenov, A. A. Stepanov and V. A. Shcheglov,
KVANTOVAYA ELEKTRONIKA, Vol 3, 1976.
8. Krutova, V. G., A. N. Orayevskiy, A. A. Stepanov and V. A. Shcheqlov,
KVANTOVAYA ELEKTRONIKA, Vol 3, 1976; ZhTF, Vol 47, 1977.
9. Cummings, J. C. and C. M. Dube, IEEE J., QE-11, 1975; R. A. Meinzer and
R. V. Steele, Ibid., 1975. ,
10. Sadowski, T. J., C. E. Kepler, B. R. Bronfin, M. D. Krosney and R.
Roback, Ibid., 1975.
37
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- 11. Bai, Shih-I, "Vvedeniye v teoriyu techeniya szhimayemoy zhidkosti"
[Introduction to the Theory of Flow of a Compressible Lzquid], Moscow
IL, 1961.
- 12. 5tepanov, A. A. and V. A. Shcheqlov, FIAN Preprint, No 182, Moscow, 1976. -
13. Dorrens, U. Kh., "Giperzvukovyye techeniya vyazkogo gaza" [Hypersonic
Viscous Gas Flows], Moscow, Mir, 1966.
[156-6521] ~ -
� COPYRIGHT: Izdatel'stvo "Sovetskoye radio", "Kvantovaya Elektronika", 1979
_ 6521 I
~ Cso: 1862
= 3$
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ELECTRICITY AND MAGNLI'ISM
HISTORY AND PROSPECTS FOR TRANSISTOR USE
j Moscow PRAVDA in Russian 12 Oct 79 p 3
[Article by Yu. Pozhela, academician of the Lithuanian Academy of Sciences,
Lenin Prize Laureat, Vil'nyus: "Wave Melodies of Plasma"]
[Text] It is impossible to think of present-day science and technology
or even our every3ay life witnout radio, television, the telephone,
computers, lasers, radar and other equipment based on the use of electro-
magnetic waves. The production of equipment which generates and transforms
these oscillations has become the' business of whole sectors of industry,
radio engineering, comnunications factilities, electronics and optics. It
is precisely these which in many ways determine scientific and technological
progress today.
The large-scale changes wh3ch have occurred in this area over the past
three decades became possible due to the discovery of semiconductor oscilla-
tors and generators--transistors. They radically changed the face of radio
engineering and led to the formation of new directions for science and
technology (microelectronics, high-speed computer technology, etc.).
But transistars are already unable to satisfy the new demands imposed by
practice. It has become an urgent requirement that the "busy" signal be
eliminated from cammunication lines; that we learn to transmit energy to _
the erath from satellite electricpower plants; that we significantly improve
the accuracy of aircraf t takeoffs and landings and the mooring of ships:
that we increase the hgih-speed response of computers. A11 of these and
_I other problems require the creation of ieliable instruments for the so-called
superhigh-frequency range which are simple to use.
Transistors are powerless here. Oscillations in the superhigh-frequency
range are now transofrmed mainly using complex vacuum devices. However,
it is possib3e to involve other physical phenomena to solve this problem. The plasma effects in semi-conductors may, in our view, serve as this type
_ of phenomenon. . .
~
39
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r v.. vir l~lrtiL v~L vivLl _
= When speaking of plasma, one usually has in mind a"gas" of charged particles
which may be displaced, compressed, or stretched using electrical and
_ magnetic fields. Stars, the sun and lightning-discharge paths all consist
- of plasma. Therefore, the phrase "plasma in semiconductors" at first =
caused perplexity. However, a more careful examir.ation leads to the con- -
clusion that the "gas" of free electrons and the "vacancy" of positive -
charges in semiconductors is precisely a plasma, a specific type, it is _
true, since it is located among atoms which are forming tho lattice of
a crystal. But nonetheless, it is possible to affect the p1n.-aa in a semi- -
conductor with electrical and magnetic fields.
It is known that plasma becomes unstable when an electric current is passed
through it; it stretches into a string, it twists into a spiral, it
compresses into individual lumps, it starts to undulate. Academician _
L. Artsemovich said that en route to a controlled thermonuclear reaction -
"the wave melodies of plasma resound like a funderal march." Similar instabilities are observed in semiconductors. But this only indicates current
osci]_lations, i.e., the generation of electromagnetic waves, the superhigh-
frequency range included. Rephrasing Academician L. Artsemovich's words,
it is now possible to say that the wave melodies of plasma in semiconductors
- resound like a triumphal march en route to the creation of superhigh-
frequency generators and amplifiers. -
In 1959, the Soviet scientist A. Tager and his coworkers detected that during
fornzation of an electron avalanche in silicon, generation of superhigh-
frequency oscillations begins. In the following years, research on avalanches
- and the solution of complex technological problems resulted in the creation
of a new c:lass of semiconductor devices--avalanche-transit diodes.
In 1963, the American Physicist George Hann detected generation of superhigh- ~
frequency oscillations when direct current is applied to gallium arsenide. :
The Hann diodes and avalanche-transit diodes have today become the basis - for inexpensive and reliable instruments of mass application. The wave range -
in which semiconductors function has been expanded ten-fold. This is a -
great success for physics and semiconductor technology. -
However, in the submillimeter area, instr-ments of this type are also
powerless: Their efficiency and the power which is obtainable fall off
- sharply. Does this perhaps mean that the instabilities In semiconductor
plasma have exhausted their possib3lities? By no means. In recent years,
several ideas have been expressed which permit us tothink that there are
more high-frequency instabilit3es in semiconductor plasma. Thus,
S. Ashmontash, K. Repshas and.the author of these lines detected that when
the electrons in a un3form semiconductor are unevenly heated up, the semi-
conductor detects superhigh-frequexicy oscillations well, and generates
them itself when direct current is applied. This phenomenon permitted us
to create a new type of avalanche diode. Furthermore, the theoretical
calculations show that electromagnetic waves in an electric field, heating
up plasma electrons, can interact in the region of very high frequencies,
leading to the generation and ampl3fication of signals close to the
optical range.
40
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Testing these assumptions of the theory requires complex experiments studying '
the propagation of electromagnetic waves in semiconductors. One must say
that superhigh-frequency oscil.lations in a plasma which conducts electric
current well have been generally considered to be impossible for a long
time. It was only in 1960 that the Soviet scientists 0. Konstantinov and
V. Perel' demonstrated that in a magnetic field plasma becomes "transparent"
for cei-tain electromagnetic waves, even within a metal.
Now, waves penetrating plasma are being studied in many of the world's
laboratories in two respects: on one hand, to study the properties of the
semiconductor plasma and, on the other, to reveal the possibilities of
generation and amplification of these waves. Such research is being conducted
in our country at the Institute of Semiconductor Physics, Academy of Sciences,
Lithuanian SSR, the Institute of Radio Engineering and Electronics, Academy
_ of Sciences, USSR and in other Institutes as well as at several WZ's.
New methods for determining the parameters of plasma with the aid of magnetic-
= plasma waves, and methods for studying high-speed processes in semiconductors
have been developed: a millimeter spectroscopy of semiconductors has
been born and the activity of plasma in semiconductors applicable to generation
and amplification of superhigh-frequencies has been studied.
' The results which have been obtained to date instill hope that the mastery
of the frequency ranges which have remained until now a blank spot for
! semiconductor electronics is a matter for the near future. Thus the ;full
- scope of the electromagnetic oscillation spectrum will be covered by semi-
conductor devices, from visible light to the sonic frequencies. It is pos-
sible that their creation will permit us to solve the theoretical problems
_ mentioned at the start of the article as well as to open new horizons
before the technology of scientific experiment, particularly for the study
; of these waves on biological subjects.
I will explain that in a given region of the spectrum there are so-called
molecular resonances, i.e., frequencies at which molecules interact particu-
- larly strongly with waves. It is expected that with the aid of powerful
- resonance waves, we will succeed in selectively acting on the necessary
molecules, and that means that we will actively control various chemical
and biological processes. This could enrich the arsenal of ineasures for
controling many illnesses which arise at the molecular level.
As the history of natural science attests, the incorporation of new physical
-
methods and phenomena into practice has always led to revulutionary
transformations in science and technology. One would hope that in this
case as well, people will receive a powerful instrument for study and for _
' effecting the nature surrounding them into their hands. Success in solving the problem depends in many ways on the proper organiza-
tion of research. It should be based on an all-union program of funda-
' mental study of plasma in semiconductors. Development of the program has
become an urgent requirements for today, and one must provide experiments
in this area with the required materials and equipment.
9194
CSO: 1862
41
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, PHYSICS
Crystals and Semiconductors
USSR
J
UDC 548.3:534.01 -
PHONON DENSITY OF STATES OF SILICON (RESULT OF SOLUTION OF THE INVERSE
PROBLEM)
Tomsk FONONNAYA PLOTTIOST' SOSTOYANIY KREMNIYA (REZUL'TAT RESHEIvIYA OBRATNOY
ZADACHI) in Russian, editorial board of "Izvestiya WZov, Fizika," 1979
6 pp (manuscript deposited in VINITI 23 Jan 79, No 309-79 Dep.)
KORSHUNOV, V , A ,
- [From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye259 DEP
by the author]
[Text] The inverse problem of the determination of the density of states ~
from the temperature dependence of the heat capacity of phonons belongs
to the class of incorrectly posed probleros. It is solved by the method
of regularization with a Tikhonov stabilizer of first order. The regu-
larization parameter is selected by the principle of minimum error of _
closure which, as is shown by the example presented for a silicon ,
crystal, permits the determination of the characteristic structure of ;
the phonon density of states in satisfactory correspondence with existing
' neutron diffraction data. References 21.
[11,574-147] ,
- USSR UDC 548.536
- STRUCTURE AND THERMOPHYSICAL CHAItACTERISTICS OF THE COMPOLINID 1492Hf5012
Tomsk STRUKTURNYYE I TEPLOFIZICHESKIYE KHARAKTERISTIKI SOYIDINENIYA
M92Ht5012 in Russian, editorial board of "Izvestiya WZov, Fizika,"
1979, 10 pp (manuscript deposited in VINITI 2 Jan 79, No 18-79 Dep.)
MAZETS ; YE. B. and ZOZ, YE. I.
[From REFERATIVNYY ZHURNAL, FIZIKA 1979 No 4, Abstract No 4Ye313 DEP
by the author]
[Text] Results of research on composition of the syatem Hf02-Mg0, containing
20-30 mol.% of Mg0 are given. It is shown that thia system contains the
compound M92Hf5012 crystalized in a rhombohedral distorted lattice of the
fluorite type. Hf3Yb4012, Zr3Yb4012 and Zr3Sc4012 are crystallographic
42
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analogies of this compound. The temperature and concentration dependence
= of the specific conductivity of the above mentioned compositions were
- obtained, The activation energy of the process responsible for con-
_ ductivity was 0.6 + 0.1 eV, Data on the concentration and mobility of
vacancies in the compositions studied are given. The coefficient of
lir.ear thermal expansion of M92Hf5012 is 4= 4.63�10'6oC. The melting
point is above 23000C. References 11.
_ [11,574-147]
USSR
UDC 548:539
INVESTIGATION OF LOW-TEMPERATURE AGE IN Cu-Al -SOLID SOLUTIONS SUBJECTID
TO PLASTIC DEFORMATION AT -196�C
Tomsk IZUCHENIYE NIZKOTEMPERATURNOGO VOZRASTA V Q-TVERDYKH RASTVORAKH
Cu-Al, PLASTICHESKI DEFORMIROVANNYKH PRI -1960C in Russian, editorial
board of "Izvestiya WZov, Fizika," 1979, 10 pp
~ ZUBCHENKO., V. S,, KULISH, N. P. and PETRENKO, P. V.
- [From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye417DEP by the
- authors]
[Text] Two stages corresponding to the second and third age stages of
- pure copper are determined from the age curves of specific conductivity
of Cu-Al alloys (6, 8, 10, 13, 15 and 17 at.% A1) and pure copper, subjected
to plastic deformation in liquid nitrogen. The change in conductivity
~ on the second stage is due to drift of defects that are ineffective in
~ formation of short-range order, and the conductivity change on the third
stage is due to vacancy drif t, and to an increase in the degree of short-
range order as a result of such migrations. It is concluded from the
concentration dependence of the conductivity increment on the third stage
~ that consideration must be taken of the influence of defects introduced
~ during deformation when comparing the theoretical and experimental values
of conductivity of deformed specimens. References 8.
[11,574/6610-147]
43
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USSR UDC 536.421
,
CALCULATING THE RATE OF GROWTH OF CRYSTALS FROM A ZWO~_COMPONENT MELT IN A
CENTRIFUGAL FIELD
_ Moscow RASCHET SKOROSTI ROSTA KRISTALLOV, RASTUSHCHIKH IZ D WKHKOMPONENTNOGO
RASPLAVA V TSENTROBEZHNOM POLE in Russian, editorial board of "Vestnik
Moskovskogo gosudarstvennogo universiteta, Khimiya," 1978, 10 pp (manuscript
deposited in VINITI 23 Nov 78, No 3576-78 Dep.)
ANIKIN, A. G. and TAL'DRIK, A. F.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye458DEP by the
authors]
[Text] A theoretical examination is made of the problem of the behavior
- of the growth rate of two-component crystals when grown from a melt in a
centrifugal force field. A system of nonlinear equations of the thermal
and diffusion layers is derived with consideration of the influence that
_ the growth rate of the crystal phase has on interrelated heat and mass
_ processes. Relations are found for the thicknesa of boundary layers and
- for crystal growth rate as functions of the magnitude of the centrifugal
~ field, the coefficients of viscosity and thermal conductivity, dopant
diffusion, azimuthal angle, heat of crystallization, specific heat,
~ density of the solid and liquid phases, and the cryoscopic coastant. It
is shown that crystal growth is asymmetric. See also Ref, zh. Fizika,
A-bstract No 2Ye415. References 10.
- [111574/6610-247]
USSR
UDC 537 .226; 537 .311.322
OPTICAL PROPERTIES OF RUA9415 SUPERIONIC THIN-FILM CONDUCTORS ;
Tomsk OPTICHESKIYE SVOYSTVA TONKIKH PLENOK SUPERIONNOGO PROVODNIKA
RtaAg4J5 in Russian, editorial board of "Izvestiya WZov, Fizika," 1979,
10 pp (manuscript deposited in VINITI 2 Jan 79, No 33-79 Dep.) ;
DROZDOV, V. A., MALASHCHENKO, T. V. and MURAKIiOVSKIY, il . G. ~
~
- [From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye 1105DEP
_ (resume)] ~
i
[Text] The reflection and absorption spectra o�,RbAgl+IS superionic thin-
~ film conductors are studied as a function of temperature. Thermal coefficients
;
' 44 , . i
j.
FOR OFFICIAL USE ONLY ~
i
;
;
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are calculated for the absorption edge, and for the reflection maximum
associa,ted with quasimetallic silver centers. Kramers-Kronig dispersion
relations are used to calculate the coefficients of absorption and
refraction, and the real and imaginary parts of the dielectric constant.
It is suggested on the basis of the calculation that the valence band
of RbAg415 is formed by Ag(4d)- and I(Ss)-states, while the conduction
band is formed by the Rb(4d) and Ag(5s) states. References 7.
[11,574/6610-247]
USSR
UDC 537.226.4
TRANSITIONS BETWEEN FERROELECTRIC PHASES IN OXIDE SOLID SOLUTIONS WITH
PEROVSKITE STRUCTURE
Tomsk PEREKHODY MEZHDU SEGNETOELEKTRICHESKIMI FAZAMI V TVERDYKH RASTVORAKH
OKISLOV SO STRUKTUROY TIPA PEROVSKITA in Russian, editorial board of
"Izvestiya WZov, Fizika," 1979, 9 pp (manuscript deposited in VINITI
2 Jan 79, No 16-79 Dep.)
RAYEVSKIY, I. P. and SYTOVA, 0, N.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye1265DEP by the
authors]
i [Text] It is experimentally shown that the experimental rule of Bretton
and T'yen for predicting the change in temperatures of transitions between
ferroelectric phases in BaTiOg with ion substitutions in one of the cationic
sublattices is applicable to KNbOg as well. A modification of this rule
! is proposed for the case where ion substitution takes place simultaneously
- in both cationic sublattices. The described rule is also applicable in
-i the case of sys tems of solid solutions tha.t are more complicated than
I binary solutions. Refprences 11.
i
, [11,574/6610-247]
45
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UDC 537.226.4
USSR
ON LOCALIZATION OF RARE EARTH CATIONS IN THE BARIUM TITANATE LATTICE
Tomsk 0 LOKALIZATSIT_ REDKOZEMEL'NYKH KATIONOV V RESHETKE TITANATA BARIYA
- in Russian, editorial board of "Izvestiya WZov, Fizika," 1979, 6 pp
(ma.nuscript deposited in VINITI 2 Jan 79, No 20-79 Dep.)
DERGUNOVA, N. V., SAKHNENKO, V. P. and FESENKO, YE. G.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye1283DEP by
: the authors]
[Text] Interpretation of the peculiarities of concentration dependences
of conductivity of semiconductor modifications of BaT103 requires solution
of the general problem of localization of extrinsic ions in the crystal
lattice with perovskite structure. This problem is solved within the
framework of a quasielas tic crystal model for low concentrations of
extrinsi.c ions (less than 0.1 at It is shown that in this concen-
tration region, rare earth extrinsic ions from La to Tm primarily replace
titanium cations, while Yb and Lu primarily replace barium cations. At
concentrations higher than 0.1 at cations from La to Tm are localized
mainly in sublattice A, while Yb and Lu are localized in sublattice B,
according to the conventional rules of isomorphism. A transition from
B-substitution to A-substitution should be accompanied by a sharp drop
in resistiv'Lty in the vicinity of concentrations near 0.1%, which agrees
with the experimental data. References 7.
[11,574/6610-247]
UDC 537.611.44
USSR
PROCESSES OF INTRAPHASE SEGREGATION IN Fe-V ALLOYS
Moscow PROTSESSY VNUTRIFAZNOY SEGREGATSII V SPLAVAKH Fe-V in Russian,
= Moscow State University, 1978, 16 pp (aaanuscript slepoeited in VINITI 7
- Feb 79, No 251-79 Dep.)
STETSENKO, P. N. and ANTIPOV, S. D.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye1346DEP by
the authors]
[Text] process is alloy Fe
and 55% V) after quenching
46
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. ~ ,
. . . ~ . ~
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Moesbauer spectroscopy on 57Fe nuclei and the temperature dependence of
the intensity of magnetization. The reaults show that heat treatment
up to 6250C leads to processes of intraphase segregation witn retention
of the single-phase nature of the specimen. As a result of these
processes, the alloy contains iron-rich and iron-poor magnetic clus ters
with characteristics that vary depending on heat treatment. Since the
obaerved proceases of intraphase segregation are characterized by low
activation.energies, the authors discuss the vacancy mechanism of cluster
formation. References 10.
[11,574/6610-247]
- USSR UDC 532.783;548-14
CONDUCTIVITY OF A p-AZOXYANISOLE LIQUID CRYSTAL
Tomsk PROVODIMOST' ZHIDKOGO KRISTALLA p-AZOKSIANIZOLA in Russian,
editorial board of "Izvestiya WZov, Fizika," 1979, 10 pp (manuscript
deposited in VINITI 2 Jan 79, No 26-79 Dep.)
NIKITIN, YE, N.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4I236DEP by
- the author]
_ (Text] The conductivity of a nematic liquid crystal of p-azoxyanisole
_ is measured, using direct current and low-frequency alternating current.
_ Consideration is taken of individual factors that influence conductivity:
temperature, voltage and frequency. The measurements show that domains
made up of about 105 molecules move in the wake of an audio frequency
field, rather than isolated molecular dipoles. Refere nces S.
[11,574/6610-247]
47
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I
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Electricity and Magnetism
USSR
UDC 548:539
STRAIN DEPENIDENCE OF PFIOTOSTIMULATED EXOELECTRONIC EMISSION OF POLY-
CRYSTALLINE ALUMINUM
Tomsk ZAVISIMOST' FOTOSTIMULIROVANNOY EKZOELEKTRONNOY EMISSII POLIKRISTAL-
LICHESKOGO ALYUMINIYA OT VELICHINY DEFORMATSII in Russian, editorial
board of "Izvestiya WZov, Fizika," 1979, 8 pp (manuscript deposited in
VINITI 23 Jan 79, No 300-79 Dep.)
PARTSYRNYY, V. D. and SOLOSHENKO, I. I.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye386DEP by
the authors]
[Text] A relation between the current density of photostimulated exo-
electronic emission and strain is found, based on the assumption that the
change in work function of inetallic eonitters as a result of plastic
deformation is initially caused by a change in the dieloca tion densiCy.
The strain dependence of current density of photostimulated exoelectronic
emission o polycrystalline aluminum as measured during deformation
- agrees qualitatively with the calculated depeadence in the case where
stimulation occurs in the subthreshold frequency region. References 13.
- [11,514/6610-147]
USSR UDC 537.226; 537.311.322
OPTICAL PROPERTIES OF THIN FILM SUPERION CONIDUCTOR R1aAg4J5
Tomsk IZV. BUZOV. SER. FIZIKA in Russian 1979 10 pp
_ DROZDOV, V. A., MALASHCHENKO, T. V. and MURAKHOVSKIY,,V. G.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4(II) 1979 Abstract No 4E1105 DEP
by the author]
[Text] A study of the temperatura dependence af the ecnission and
reflection spectra of thin film superion conductor RbA94J5. The thermal
coefficient of the boundary of absorption and the maximum reflection
when bound with quasimetallic centers of silver are calculated. Ueing
the Kramers - Kroning dispersion ratio, the coefficients of absorption
48
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_ and reflection, the actual and imaginary parts of the dielectric and the
permeability are calculated. On the bas is of the computationa it is
assumad that the valence bdnds of P.taA94J5 are formed by Ag(4d) and J(5s)
states and the conduction band by the Rb(4d) and Ag(5s) states. Abstract,
illustrations, references 7.
USSR
UDC 537.226.4
_ TRANSITIONS BETWEEN FERROELECTRIC PHASES IN SOLID SUSPENSIONS OF IOXIDES
WITEI PFROVSKITE TYPE STRUCTURES
Tomsk IZV, WZOV. SER, FIZIKA in Russian 1979 9 pp
RAYEVSKIY, I. P. and SYTOVA, 0, N.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4(II) 1979 Abstract No 4E1265 DEP
by author]
[Text] It is experimentally e;;:ablished that the empirical rule of Bretton
and T'yen, permi tting the prediction of the character of the changes of
- the temperature transitions between ferroelectric phases in BaT103 in
cases of ion replacement in one of the ion sublattices is also applicable
to KNb03. A modification of this rule is suggested for cases where ion
replacement is s imultaneous in both ion sublattices. The rule described
is also applicable in cases of solid suspension systetns which are more
~ complicated than binary ones. Illustrations, references 10, =
-i
~
I
. 49
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USSR UDC 537.611.44
ANOMAL IES IN THE TEMPERATURE DEPENDENCE OF MAGNETIZATION OF Fe-V ALLOYS
Moscow At10MALII TEMPERAZUPLNOY ZAVISIMOSTI NAMAGNICHENNOSTI SPLAVOV Fe-V =
in Russian, Moscow State University, 1978, 15 pp (manuscript deposited in _
VINITI 7 Feb 79, No 522-79 Dep.) k
STETSENKO, P. N. and ANTIPOV, S. D. ~
[From REFERATIVNYY ZHURNAL, FIZIKA, No 4, 1979 Abstra,ct No 4Ye1347DEP by
- the authors]
[Text] The paper gives the results of experimental studies of nuclear
_ gamma resonance spectra on 57Fe nuclei in Fe-V alloys (45 at.% Fe and 55
at,% V). The temperature behavior of magnetization of Fe-V alloy quenched
from 13500C shows a number of anomalies that the authors attribute to
magnetic transitions in intraphase segregations. Data on hyperfine
= magne tic fields on 57Fe nuclei confirm the results of the magnetic
measurements. Estimates are made of the critical concentrations at which
the exchange integral that characterizes an interaction of the Fe-V
type becomes negative. After a number of heat treatments, an equiatomic
alloy of iron and vanadium shows a magaetic anomaly analogous to the
magnetic compensation point in ferromagnetics. References 11.
(11,574/6610-247]
USSR UDC 537.611.44
INHOMOGENEITY OF MAGNETIZATION OF FINE PARTICLES OF Cr02
Moscow NEODNORODNdST' NAMAGNICHENNOSTI MELKIKH CHASTITS Cr02 in Russian,
Moscow State University, 1978, 11 pp (manuscript deposited in VINITI 10
Jan 79, No 93-79 Dep.)
SHPIN'KOV, N. I. and OLEFIRENKO, P. P.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye1351DEP]
[Text] The coercive force, the distr3.bution functions for particlea by
fields of magnetic revergal and by orientations, and the paratneters of
ferromagnetic_resonance spectra in the frequency range of 36-61 GHz at
- temperatures of 100-420 K are determined for an ensemble of Cr02 particles.
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a
It is shown that particles with a ratio of length to diametex that exceeds
- a certain critical value are magnetically inhomogeneous, The way that
the shape of the ferromagnetic resonance line depends on temperature and
frequency indicates a reduction in the degree of magnetic inhomogeneity
as the intensity of magnetiza tion decreases and the external magnetic
field increases. It is assumed that the reason ior this is a magnetic
structure of helicoid type that arises in "transcrit,ical" particles, and
that has a wavelength that increases with a reduction in the ratio of
magnetization intensity to external field strength. References 6.
[11,574/6610-247]
. ~
~ USSR UDC 537.621
MEASUREFiENT OF THE INTENSITY OF MAGNETIZATION IN PULSID MAGNETIC FIELDS
OF UP TO 240 MA/m OVER A k'IDE RANGE OF TEMPERATURES AND PRESSIJRES -
Minsk IZMERENIYE NAMAGNICHENNOSTI V IMPUL'SNYKH MAGNITNYKR POLYAKH DO 300
~ ke V SHIROKOM DIAPAZONE TEMPERATUR I DAVLENIY in Russian, Izvestiya =
_ Akademii nauk BSSR, Seriya fiziko-tekhnicheskikh nauk, 1979, 14 pp
- (ma.nuscrlpt deposite3 in VINITI 11 Jan 79, No 117-79 Dep,)
= DOBRYANSKIY, V. M.
- [From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Ye1302DEP]
[Text] A facility has been developed for measuring the intensity o�
magne tiza tion over a wide range of pressures, temperatures and pulsed
= magnetic fields. The design of the solenoid located i..n the high-
pressure chamber is described. A description is given of the measurement
instru-nientation, and automatic equipment for holding the temperature in `
a ra.nge of 4.2-400 K. The paper describes the technique used in the
- servlce entrance for supplying the voltage to the solenoid at up to
' 3000 V in a high-pressure chamber where the gas transmits a pressure of
up to 1.5�109 N/m~. An inves tiga tion is made of the uniformity of the
= magnetic field. References 14.
[112574/6610-247] -
51
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s Optoelectronics
USSR UDC 537.533.3;537.534.3
_ AN IMPROVED UNIVERSAL ELECTRON-ION SOURCE
Tomsk USOVERSHENSTVOVANNYY UNIVERSAL'NYY ELEKTRONNO-IONNYY ISTOCHNIK in
Russian, Tomsk Polytechnical Institute, 1978, 11 pp (manuscript depoeited
in VINITI 23 Jan 79, No 276-78 Dep.)
- GAVRILOV, N. V., PONOMAREV, V. P. and PONObiAREVA, L. P.
[From REFERATIVNYY ZHURNA.L, FIZIKA No 4, 1979 Abstract No 4Zh472DEP by
= the authors]
[Text] The paper describes a universal electron-ion source based on a
reflex discharge with cold cathodes. The source is designed for operation
as the injector for an EG-2.5 electrostatic generator. The source pro-
vides 10 roA of ion current and 3 mA of electron current with discharge
power of no more tha.n 40 W, emission aperture of 0.9 mm and extracting
. voltage of 10 kV. An investigation is made of the mass composition of
- the beam under various working conditions. Hydrogen is used as the
working gas. Gas flowrate is 20 cc/hr, References 6.
[11$74/6610-247]
52
- FOR OFFICIAL USE ONLY
I-
;
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Theoretical Physics
= USSR UDC 537.8.029.6
ON TRE J-PRQPERTIES OF THE TRANSFER MATRIX OF A WAVEGUIDE WITH A
- LOCALIZED IRREGULARITY
Khar'kov 0 J-SVOYSTVAKH PERIDATOCHNOY MATRITSY VOLNOVODA S LOKALIZOVANNOY
NEREGULi:.RNOST'YU in Russian, Khar'Kov University, 1978, 11 pp (manuscript
deposited in VINITI 2 Jan 79, No 48-79 Dep.)
~ EL'KIN, B. S.
I
i [From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4Zh309DEP1
, [Text] An examination is made of the problem of transmission of electro-
=i magnetic waves in waveguides with a localized irregularity and two sets
~ of associated problems. It is shown that the transfer matrices (SRN,
~ SAN, N= 1, 2...) of these problems are expressed in terms of blocks of
the transfer matrix (S) of the transmission problem. References 5.
, [11,574/6610-247)
~I
;
i
-i
-i 53
i FOR OFFICIAL USE ONLY
i
i
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Thermodynamics
USSR
AN ENTROPY CRITERION OF STABILITY
UDC 530.161/.162
Tomsk ENTROPIYNYY KRITERIY USTOYCHIVOSTI in Russian, editorial board of
"Izvestiya WZov, Fizika," 1979, 9 pp (manuscript deposited in VINITI
2 Jan 79, No 24-79 Dep.)
PEREVOZNIKOV, YE. N. and MASLOV, P. G.
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 Abstract No 4I23DEP by the
authors]
(Text) A general stability criterion is constructed on the basis of the definition of entropy. An examination is made of forms of the criterion ~
in the case of the canonical and projection methods of description. It
is shown how the entropy criterion is related to the Glensdorf-Prigogine
theory, the spectral method and the Rayleigh criterion. Formulas are
proposed for the rklacroscopic probability of fluctuations in the unstable
and metas table s tates that are transformed to the known Einstein and
Glensdorf-Prigogine relations in the case of equilibrium and quasi-
equilibrium states. References 10.
[113 574/6610-247]
USSR UDC 548.571
INVESTIGATION OF THE INFLUENCE.THAT HELIUM INTRUSION HAS ON THE PH'YSICO-
CHEMICAL PROPERTIES OF A SOLID i
Vladivostok IZUCHENIYE VLIYANIYA VNEDRENIYA GELTYA NA FIZIKO-KHIMICHESICIYE '
SVOYSTVA TVERDOGO TE-LA in Russian, 1978, 81 pp (manuscript deposited in ~
VINITI 25 Dec 78, No 3904-78 Dep.) ~
~
KHUDYAKOV, A , V ,
[From REFERATIVNYY ZHURNAL, FIZIKA No 4, 1979 AbsCract No 4Ye323DEP by j
_ the author] '
i
[Text] Known and original data are systematized on the properties of
defects produced by helium atams and vacancies in a crystal lattice. A
- table of properties`is compiled, some properties of the table are analyzed,
- and a prediction is made on the feasibility of a directed change in
54
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fundamental properties of a crystal by changing the concentration of
certain kinds of defects. Experimental data are given on an increase by
6-8 orders of magnitude in processes controlled by surface diffusion in
materials with interstitial helium concentration of 1019 cm 3 and
accumulated vacancy concentrations of 2�1021 cm 3, This effect hae been
used to produce beryllium oxide specimens with grain size of less than
1 �m that are resistant to reactor irradiation. An analysis is made
of the possibility of a reduction in cohesive energy of a crystal with
an increase in the concentration of helium atoms in the lattice site
substitution state. The paper gives the approximate behavior of cohesive -
energy, critical temperatures and pressures of phase transitions as a
function of_ helium concentration in the crystal. A reduction of the
cohesive energy of a crystal can be used to reduce the work function of
electrons and ions, to create a high concentration of defects of exciton
type in covalent crystals, to get metastable phase states (amorphous
metals, high-temperature and high-pressure phases) at reduced temperatures _
and pressures, and to produce superporous solids. References 28.
[11,574/6610-147]
CSO: 1862 - END -
55
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