SCIENTIFIC ABSTRACT ZHELEZHYAKOV, V.V. - ZHELEZOVSKIY, B.YE.

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• Collection: Scientific Abstracts
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• Release Decision: RIF
• Original Classification: S
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• Document Creation Date: November 2, 2016
• Document Release Date: March 20, 2001
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

z
Tnteraction of electrompetlc waves in a plasmat Part
2. Tzv vya. ucheb. zav.;~radiofiz, 2 no.6:858-868 159-
(MIU 13:6)

S/14i/60/003/02/002/025
AUTHOR: Zheleznyakov,, V*V.
TITLE: The Instability ofmagnetically-active Plasma Relative
to High-frequency r'lectromagnetic perturbations 11.
K
~PERIODICAL: Izvestiya vysshikh uchebnykh-zavedeniy, Radiofizikat
196o,.vol 30 Nr 2,,p~? 180 - 191 (USSR)
-ABSTRACT:,The problem of.the instability of magnetically-active
plasma,in which.the scattering of particles occurs on
account of transversemand lopgitudinal impulse components
on the basis of the relativistic scattering
equation, described In an earlier paper (Ref 1). It is
assumed theit the.electromagnetic perturbation is propa-
gating along the magnetic field H In the previous
~O
paper it was assumed that the distribution of electrons in
plasma was described by the 6-function. Here the
following,distribution function is considered:
2 2 30)2 /a 21 dp (1.i)
f (p):dp Aexp 0) /at~ (p I
P11
0 PQ
? where dp is a volume.element, p~ is the longitudinal
Cardi/6
C

5/141/60/003/02/002/025
The Instability of Magnetically-ac I e asma Relative to High-
frequency Electromagnetic Perturbations. II.
impulse component and.: pL is the transverse impulse
component* 'The factor' A in Eq (1,I) is defined by
Eqs (102).~.In the previous work it was shown that the
relationship betweenthe wave number k and the frequency
is described by -the scattering equation which is in the form
of Eq 11. 3) 0 :'Tho-scattering equation can also be written
as~Eq (1.1k), where o is the velocity of light, n is
the refraction coefficient of the medium, is the
0
:natural frequency,of plasma and, in the Syrafrequency.
H
By introducing the notation dofined by Eqs (1-5) and (1.6)
-the scattering equations can be written as Eqs (1,3a) and
U. 4a) 'The integrals ~ I I and -I can be represented.
3
by the,general integral of Eq (1-7), where the subintegral
functions have singularities at the points defined by
Eqs (1.8).' The integrals.can also be expressed by Eq (1.9).
-In the final form the integrals can be written in the form
of Eq (1*12), where.the.functions F are defined by
Card2/6~ Eqs (1.11). The scattering-equations become very complicated
ltooooooo2

s/i4i/60/003/02/002/0--1'
The Instability*of Magn6tically-act.ive PIAAMOAftative to High-,~
frequency Electromagnetic, Perturbations. Il.
if the i egrals. f~Eqs (1#9) or (1&12) are s'
nt; 0 ubstituted into
them.- However, in thellimiting case when the conditions
defined by Eqz (2s1.) are fulfilled, the equations can be
greatly simplified. For this case the integrals I can be
expressed approximately by Eq (2-3). Consequently,
Eq (1.4a):can:be written as Eq (2.4).' If it is assumed that
the;mass of the particles in plasma and the plasma frequency
can be represented..by Eqs (2.5), the final expression for
the.scattering in in the form of Eq (2.7). The parameters
and in Eq (2-7) can be expressed approximately
43
by- Eqs, (2.8), where the parameters �-and G are defined
by Sqs (2.9) and (2,10). It is therefore posisible to.
transform Eq (2-7) into Eq (2.11). The latter can be written
approximately as:
Card3/6

s/l4jL/6o/003/02/002/025
Eb?2
TheInstability of Magnetically-active a4mp-PRelative to High-
~frequency Electromagnetic Perturbations. 11.
where:
2 2 2
/2c
(a.L G300 aq) 02,13)
By comparing Eq (2.12) with the scattering formula of,
the previous paper'it is seen that the latter can be
derived from,Eq (2#12)0 The distribution function given
-by Eq,. (1. 1) expresses the characteristic properties of
the actual distribution of the particles in that it can
describe the presence of the scattering, the anisotropy
of the temperatures and the finite mean velocity of the
particles. It does not represent, however, the
s-tribution. This can be described
equilibrium di
approximately-by Eq, (2-17). If this formula 'is substituted
into.Eq (2,4),- the:resulting scattering formula will be
also in the form of Eq (2011).
There are 7 Soviet references.
C,
iCard5/6

S/141/59/002/06/003/024
E032/E314
AVrHOR-.,_.Zhgl0z1&Ahov- V.V.--
TITLE: On the Xnteraction of Electromagnetic Waves in &_RjAgma., II.
2Radio zik
PERIODICAL: Izvestlya vysshikh uchebnykh zavedeniy, fi a
1959,.Vol 2,-Nr 6, pp 858 - 868 (USSR)
..ABSTRACT: Part I of the present paper was published in Vol 1,
Nr 41(1958) of the present journal*
Part~ I, relations were obtained between the coefficients
of the asymptotiesolution on either'side of the interaction
reglon6. These relations are-awmarized.in Eqs (Iol) -to
of. the present: paper, The, aim.of the paper is te..
'..conBider cert.&in concrete cases of interaction of normal-
waves in a-w eakly non-unifor m-magneto-active plasma
for W w- < 1- and wW'o > 1 where w ie the w4va
H/.
frequency and-:wH:-- is tho'gyro-frequency. Explicit
relati ons are obtained for the*characteriatic parameters
of the.interactiont which apply to the case where the'
angles between the constant magnetic field and the d1rection
of propagation of the waves are small. Eqs (1.1) (1.4),
Cardl/2

69414
s/141/60/003/01/005/020
~2_ql: 2- /.2-0 E1192/E482
,AUTHOR: Zhelezriyakov, V.V.

TITLEI -Insfability~ of. the, kagnetically Active Plasma Relative
to the High Fre quency- Electromauctic PerTur ions*
-Part I.
PERIODICAL :Izvo.Stiya vy8shikh uchebnykh zavedeniy, Radiofizika,
~1960, Vol,31j, Nr 1,,PP 57-66 (USSR)
ABSTRACT: The article deals with the conditions of Instability of
the magnetically active plasma relative to electromagnetic'
perturbations in the absence of losses in trasverse and
longitudinal Impulse components. pL_ and p It is
-
also assumed that the perturbations propagaU along
a
constant magnetic field, Ho.. From the Maxwell
equationsit follows that for a harmonic wave
propagating in a tensoirial, medium having a permitivity
e
_(w9k) 'the scattering.equation which relates the
ik
frequency w -to the wave.vector k is in the form
(Ref 4)

Card 1/5
: 2
de t In- 6 ,k
nInk tik(w,k 0
, .

li

691a
S/141/60/003/01/005/020
E192/E482
1natability of -the. magnetically- Active Plasma Relative,to the High
,-,._.Frequency Electromagnetic Perturbations. Part I
particle at t ime,t v is the velocity Ora
particle, .v1 (t) represents the velocity of an~
unperturbed particle-in the magnetic field HO and..
fo(p) Is the normalized Impulse distribution function
for the particle*# For the case when k Is parallel to
H$ the components of Eq (1.2) can be expressed,by~
Eq (1.3) and (1.4), where is defined in Fig 1, and
SIL is the gyro-frequency~ By substituting Eq (1.3) and
(1.v) into Eq (1.2) and integrating it with respect to t
the components,.of.the tensor are given by Eq (1-5)
(see P 59) If it is assumed that fo is independent of
the components of the tensor are given by Eq (1-7)
and (1.8). The scattering formula for the system is
represented by
2. C 2 C2 2 2
n xx.+ icx 0; Czz 0 (n k /W (1-9)
Card 3/5 This can also be writtenas Eq (1.10) and (1.11). It I s

0~iI414
s/l4 1/6 0/003/0-1'4"r,/020
E192/E482
nstability.of the Magnetically Active Plasma Relative to the High
'Frequency Electromagnetic Perturbations, Part I
Xurther shown that-Eq (1.10) can be expressed as
Eq (1.12). When the loss of electrons in impulses in
zero,,the'distributiori function is in the form,of
-(2.
E
q 2). The investigation of the instability of plasma
amounts to.determining the roots of Eq (2.2). However,
since.this is a,fourth-degree equation, its solution is.
somewhat unwieldy. Consequently, the conditions of
instability are investigated for the case when the
natural plasma,frequency XLo is sufficiently smallo
Eq. 2.2).is,.therefore, written as Eq (2.4). When the
condition of Eq (2.6) is fulfilled (y is defined in
Eq (2-3A this expression can be written as Eq (2,7)-
0n the other hand, for the values of k which meet the
conditions of Eq (2.8), the scattering.formula can be
written as Eq (249). Further, when the condition of
Eq.(2.10) is,satisfied, Eq (2.9) can be written as
Eq (2.11). From this ~it in seen that the system is
tard,4/5 unstable, if the condition of Eq (2.12) is fulfilled.

69411t
~E192/E482
Instability bf:the Magnetically Active Plasma Relative to the High
Frequency Electromagnetic Perturbations. Part I
In the case when the condition of'~Eq (2.111) is meto
~Eq (2.9) is written.as Eq (2.15), from which it follows
that the instability occurs regardless of whether the
electrons move with velocities greater or smaller than
that.of light. Eq (2.4) has a different group of
solutions, if it is assumed that the zero approximation
for w is taken from,Eq (2-17). It should be pointed
out that Eq (2.2) and all the expressions derived from
it for y are relativistic formulae. The author makes
acknowledgement to A.V.Gaponov, G.G.Getmantsev and
V.O.Rapoport for discussing the results of this work.
There are 1 figure and 12 references, .10 of which are
Soviet and 2 English.
ASSOCIAT.ION:Nauchno-isaledovatellskiy radiofizicheakiy institut pri
Gorlkovskom;universitete (Scientific Research Radio-
Physics Institute of Gor'kiy University)
~,.SUBMITTEDs November 12, 1959
Card 515

06458
sov/141-1-5-6-2/28
COAUTHORS: Ginzburs- V.L., and,AZheleznYakn. ovo
V V.
TITLE: On the-Mechanisms,~'of'Sporadic Solar-Radio Emission
PERIODICAL: Izvestiya.vysshikh uchebnykh zavedeniyt Radiofizika,
1958, voi.1 -Nr 5-6, pp 9 - 16 (USSR)
'ABSTRACT: -This.-Ipaper-was, read at the-symposium.on radio-astronopty
.-during.,the.confer-ence of theInternatlonal Astronomical
Union, which took:place.in August, 1958 in.Moscowo
Possible coherent and :Lncoherent.mechaniams of spo
radic
solar radio -.emiBsion in an isotropic..and-magneto-active
coronal..plasma are considered. The problem-has beelt
considered by the present authors in Refs 1-3 and the
....present paper is a summary of.the results obtained.
'types 11 and III bursts, -which are. an. important. part of
Bpora"e solar radio emission, are unpolarized or only
weakly polarized. It is suggested that the-mapetic
-field in the region where these burstsare.produced in
very low (possibly. less than I Oe). . Under theme
aondltions, the,plasma.,may be considered as isotropic
in the first approximation* The presence of frequericy
drift and other.proporties of types 11 and III burst#
Cardl/4 suggests that they are I due to particle streams. In an

06458
~SOV/Ikl-1-5-6-2/28
On the Mechanloms of.Sporadic Solar Radio Emission
-isotropic plasma, Ahas e.. stream excite. only long-itud:U,.al
Waves * The existence.in.-the plasma..1wave of &.longitudinal
electric field leads to.-an..instability of the.particle
stream In the-plasma...andas a result, coherent emission of
plasma waves taken.place. Incoherent and coherent
emi sion of-plasma waves taken place a-imultaineously but
they have dIff erent, fre-quen - y' and angill ar spectra and
depend on the.parameters of the,problom :Ln a differelit
Maye It ~ is Argued that noncoherent -,emission of plasma
i~7aves by particle stream in.,pr:LncLple, explain the
appearanc-a of type III bursts. It is, however, possible
that when ruabsorption is taken into account in d6t&il,.
this. m-echanism may turn outto.be unsuitable. Moreover,
type _11 bursts'cAnnot be connected with incoherent
-emission by particle streams.'since the particle velocity
is not suitable* Coherent-emIssion of plasma wAves.by
particle streams 1,.an.explain the properties of,type III
bursts and very probably Also type II bursts. Since
Card2/4 type I bursts are po Ilarized, the analysis can only be

06458
SOV/141-1-5-6-2/28
On the MechaniBms of Sporadic Solar Radio Emission
carried.out by, taki n x,...-the ma gn etIc f laid -into account
In thig case,., the. incoherent Pmi slon by particle streams
may be divided.into Cherenkov radiation and synchrotron
radiation. If reabsorption is taken into account it turns
.-Cut,that types I,.II.and III bursts.cannot be associated
with synchrotron radiation of electrons. Cherenkov effect
cannot explain these bursts either. A charged particle
stream-movIng in a magneto-active plaama in in general
unstable and this leads to the coherent emission of ordinary
and extraordina y waves. If the magnetic field is weak
this coherent emission Is practicaily identical with the
coherent emission of plasma waves. In a stronger field
(greater than I Oe), the coherent radiation leaves the corona
predominantly in the form of ordinary waves and hence it
can be.associated with type I bursts. In order to produce
the observed type I burstat the oscillations in the corona
must have an amplitude of abbout 10 V/cqi. How such
qscillations are excited is not clear.
Card3/4

06460
V V sov/141-1-5-6-4/28. J1.
AUTHOR: Zhel-ezziyakoy
TITLE: Non-linear Effects in Magneto-active Plasma
PERIODICAL: Izvestiya vyssh1kh uchebnylch.zavedeaiy, Radiofisika,
1958, Val 1. Nr ~_61 pp 29 - 33 (USSR)
ABSTRACT: It is.1arkown that.when an electromagnetic wave of.finits
a.mplitude passes through plasma the principle of super-
position no longer holda (Ya.L. Allpert at *I - Ref 1).
In particular, modulation of wave I can be transferred
to Wav ,8111.- Thi's is due to.a chanwe in electron tempera-
ture and hence loss in the.medium -affecting the sacond
wave. In,the absence of'modulation the electric field of
wave I can be represented by Sq (1),. The velocity of the
forced osc:Llla:t ions - of an, electron In .the field is Eq (3).
If the wave is-now modulated then ths energy imparted to
an electron in unit time changes from Eq (2) to (09hence
3-n a non-relativistic plasma the work done on an electron
is-proportlonal to the effective number of collisions,
According to the theory of cross-modulatton (Refs 1-4) in
the case of molecular collisions the time-dependent part
of the number of coll1s*ons is related to the energy of
Cardl/3

06460
sov/i4i-L,-5-6_4/28
Non-linear Effects in Magneto-active plasma
interaction by Eq The amplitude of an,elemantary
component of -wave II after traversing the interactIon
region is Eq (6)~ In,the expression for energy four
terms-arine which are proportional to the quantities (7)
and (8). Upon Integration (6), a second.pair of terms
vanishes;, the other two.depend separately on the.ordinary
and extraordinary components of wave 1. For ont componept
the energy-imparted to an electron-in unit time is Eq (9)t
where the roynting vectAr in Eq (10) and the absorption
coefficientis Eq,(11)*-, -The transfer will be greatest
at a frequency satisfying'Sq (12). This frequency is not
the same as the gyro-frequoncy unless the wave im.propA-
gated in a particular direction ( a = 0) . Conclusions
regarding "resonance" effects In the plasma are only true
If elliptical polarization is neglected. As an e-vample the'
case og the.extraordinary wave, propagated at angla
a _- 90 , is considered. The mean..imparted energy Is
given,by Eq (14); this formula only takes on Its conven-
tionalform if linear polarization Is assumed. Eq (14) also'.~
enables a9me conclusionj to be drawn about the frequellcy
Card2/3 dependence of cross-modulation in that particular case.

06331
SOII/141-2-1-3/19
AUTH0R:r.Zheleznyakov, V. V.
ITLE:
T
On, ti'tMvnc~;r`o7`Radiat ion and the Instability. of a.Systp*,,.
of Charged Farticles.in a Plasma-
fi5S
PERIODICAL: Izvestiya vysshikh uchebn
_ykh zavedeniy, Radiofizika, 1959,
Vol 5ff.14 Nr is PP 14-27 (USSR)
..,-,ABSTRACT; In the'analysis of~problems connected with the emission,
absorption and.intensifica'tion of-waves in particle streams,
the quantum approach is very fruitful even when the problem
Appears to be essentially classical. As an example$ it is
'pointed.out that in the anomalous Doppler effect,the radiat-
ing system (electron in a.magnetic field, atom, etc),exper-
.iences a transition to a higher energy level. The quantum
.:derivation of'the.condition for instability for a stream of
charged particles in an J.sotropic plasma.is much simpler and
more descriptive than'the classical derivation. The-present
-psper is concerned with'the discussion of other results of
this~type.connectedvith the synchrotron radiation and in-
stability.ofr.a. system*of cbArged particles in a plasma. The
paper is divided,,iuto the collo ing sections-
w
1) Some -properties-of;synchrotron radiation fro
Sa~n electron

06331
SOV/14~1-2-1-3/19
On the Synchrotron Radiation and the Instability of a System of
OhargedLPartioles in a'Plasma..
in a plasma., It is shown (using the quantum approach) that
an eleefron moving~in a magneto-active plasma.does not rad-
iateJn. the direction of the magnetic field in the_re*gion,
corresponding:to the.anoinalous Doppler'effect. Conversely,
~the ordinary radiation which accompanies the anomalous
Doppler effect may take place in the direction -a = OL (a
is the angle between the momentum ofa hot-n and the diree-
tion of the constant, magnetic, f ield 11 ~ if Othe electron
moving in the magnetic field is surrodded by a medium whose
refractive index m, is greater than unity (for ordinary
waves).
zachrotron radiation of a system of charEed Particles.
2)
In this section formulaelare derived for the intensity f
the radiation from a thick layer in which the electron momen-
tum distribution is axially symmetric relative to the direct-
of,the magnetic field (Eq'2.11) and for the effective-
temperature (Eq 20'12).
Card2/4

06331
BOY141-2-1-3/19
On the Synchrotron Radiation and the Instability of a System of
Charged Particles in a Plas. ma:
fication. of electromagnetic waves and the instab-
3) Intensi
ility of a 9.Vgigm of charged particles (Qu ~tum-approach),
In this section the result is discussed that, in the motion
of a stream of charged particles (electrons) in a plasma,
the absorption coefficient of a system may become negative
under certain conditions. A dzi"ailed discussion is given
also of the conditions for intensifidation:Aad instability.
4) Intensification of electromagnetic waves a:nd the.,instab-
--Tc-al aj~j
ility_of a syst I of cHarged particles (class
t--is--showii--that---th6--r6aUlts~~--obtained~:--by-::the~--quantum:--approacb:---
in the previous section can also be obtained.classically. A
comparison of the quantum and alResioal methods of studying
the intensification and instability of charged particle Sys-
tems shows that the former has very real advantages over the
latter. The classical approach cannot always be used with-
out serious computational difficulties. One of the-disad-
vantages of the quantum approach is that it cannot be used
to study systems under conditions of strong absorption or
large intensification while the claosical approach is free
from this limitation. The Einstein quantum theory which
Card3/4is used throughout this paper, is also limited by the

06
331
SOV1141-2-1-3/19
..On the Synchrotron Radiation and the Instability of a System of
Charged Particles in a Plasma
requirement that the initial state of the system mast be
incoherent. Thecriteria for intensification and.instability
obtained in the present paper are directly applicable only to
the case of a uniforml infinite system. Acknowledgments are
made to V. L. Ginzburg and V. M. Fain Xor,a discussion of the
results. There are 19 references, of which 18 are Soviet and
1 is English.
ASSOCIATION; Iseledovatellskiy radiofizicheskiy institut pri
'Gor'kovskom universitete (Research Radio-Physical Institute
of Gorlkiy University)
SUBMITTED: November 5, 1958.
Card 4/4

T N.

o6487
SOV/141-58-4-3/26
AUTHORt Zh*1azU-XAkq_Xt'.__V- 'V.
TITLE: On the Interaction of Electric Waves in the Plasma. I
(0 vzaimodeystvii e.lektromagnitnykh voln v plazme.1)
PERIODICALsIzventiya vysahikh uchebnykh zavedeniy, Radiofizika,
1958, Nr 4, pp .32-45 (USSR)
ABSTRACT: The method of,phase.integrals in used to consider the
interaction of.normal waves in a non-uniform magneto-
active plasma taking into account the therm&l motion
of the electrons in the quast-hydrodynamic approximation.
Relations are obtained between the coefficients of the
asymptotic solution on either side of the interaction
region both in the case wH/w4l and wH/w>l where
M is the gyrofrequency (eHo/mc), It is shown that
when the properties of the medium vary sufficiently
slowly, the propagation of electromagnetic waves may be
described in terms of the geometrical optics approximation.
In this approximation, normal waves of different types,
and also waves of a given type but propagated in different
directions, are independent. However, in the region
Card 1/3 'Where the geometrIcal optics approximation does not hold,

06487
SOV/141-58-4-3/26
On the Interaction of Electric Wavea in the Plasma. I
interaction,between-waves, takes place. This occurs
when the dispersion relation (1.23) has roots such
2 2
that one of them- is-close to x*ro or n, ~y ni for two
normal waves. Such an interaction consists In that the
passage of the'j-th wave through the regionwhere the
asymptotic solution 1.21 does not hold is accompanied by
a reflected wava of the same type (nj :V 0) o the
appearance of a new wave of another type.( n nj)
A general discussion is giveii of the interaction of
normal waves and It in shown that the interaction between
waves I and II can.be neglected on account of
absorption (Eq 1.23, 1.23 and 1.27 defino the wave types)
and only the interaction between waves II and III,need be
co.11sidered 2
(u - W /W