SCIENTIFIC ABSTRACT ORLOV, YU.,F. - ORLOV, YU.V.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001238220014-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: June 21, 2000
• Sequence Number: 14
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

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ORloOV, Yu*Fo, Cand PhIs Matn Sci?--(diss) "Non-linear
tneory O~etatron oscillations in tAw synchrotron vi th
fixed focusing." Mes,19569 12 pp, with illustrations
(M:Ln of Higher Education USSR. Yerevan State Univ)
125 conies M, 39-58, 106)
- 6 -

Category USSR/Nucleer Physics - Origin of charged and neutral particles c-6
through matter
Abs Jour Ref Zhur - Fizika, No 1, 1957, No 591
Author Orlov, Yu..F.
Title Energy Spectrum of Ionizing Particles of High Energies after PLssing
Through a Thick Layer
Orig Pub Zh. ekBperim. i teor. fiziki, 1956, 30, No 3, 613-614
Abstract A more accumte shape is obtained for the spectrum of paxticles, exper-
iancing ionization losses of energy in a thick layer of substance. It
is shown that if the initial energy is sufficiently high (L m E 2>
where Li is the ionization logLritym and,,- the rest energy 01 the
ionizing particle), the shape of the spectrum differs from Gaussian even
near the encl of the range. With thisp the curve has the characteristic
"tail" on the low-energy side and a steep decent in the high-energy side.
The maximum of the spectrum is displaced away from the center of gravity
towards the high-energy side.
Cara 1/1

-AUTROR: ORLOVoyu.r. PA - 2o6a
712U: 12-clTa-Mon of Betatron oscillations by Synchrotron Momentum
Oscillations in a Strong Focussing Oscillator. (Vozbuidenie
b*tatroanych kolebanij sinchrotronnymi kol*banijami impullea
v uskoritele a 4 eatkoj fokusirovkojv Russian)
MIODICAL: Zhurnal Zkoporimentallnoi i Tooret.Fiziki, 1957, Vol 32, Nr 1,
Pp 130-134 (U.S.S.R.)
Received: 3 / 1957 Reviewed: 4 / 1957
ABSTRACT: The present paper Prove* the existence of resonances between the
synchrotron oscillations of the momentum p and the bienniums
of the amplitude near the resonance.
The eguations of the motion and resonances: The simultaneous
effect of the disturbances of the magnetic field and of the beta-
tron frequencies by synchrotron momentum oscillations is examined.
The simultaneous effect of the paramagnetic resonance is in-
significant. As an example the radial oscillations are studied.
The initial equation in therefore set up in the following form:
d 2r 1 2 aR/8r 2 6H/ar . (_.L) 2 & H
) r + (--L) AP r
2 21
d9 Po 2x P0 p 21t PC
denotes the radius of the
0 I/H
Here I/P
and Q
a */CP
Q
C
O
O
o
0
unperturbed closed orbit, 1 length of the periodic sector,
Card 1/3

PA - 2068
jxcit&tion of Betatron Oscillations by Synchrotron Momentum
Oscillations in a Strong Focussing oscillator.
0 - (2x/1)aj a - the coordinate taken along the unperturbed
closed orbit. The small synchrotron momentum oscillations are
described by the term A p/p. The gradient ON o/ar of the magnetic
field has the period 2z. The general solution of the unperturbed
equation ( A p/p - & H - 0) has the form
r - aq A + &A to f(G) - f(9) exp(i Y 0), f(0) - f(0 + 2n). Here
T denotes the FLOCIN function and Ir - the known betatron quasi-
frequency. The solution aneatz for the equation written down at
the beginning in explicitly given. The resulting equation can be
solved in the usual way, if first the general solution of the
equation for A R 'z 0 and then the solution of the complete equa-
tion is found. With V w k/M - 1/2 M there are two resonances:
the so-called external resonance (the usual resonance in case of
disturbances of the magnetic field) and the paramagnetic re-
sonanoe. In the case of V - k/M - 1/2 V only paramagnetic re-
onance exists (resonance in the case of the disturbance of a
radient).
;
Card 2/3

PA - 2o6a
Zxcitation of Betatron Oscillations by Synchrotron Momentum
Oscillations in a Strong Focussing Oscillator.
The Passage through the resonances in linear approximation: Only
the passage through the first resonances n a 2,3,4-5 is essential.
For the maximum increase of r after passage through the resonance
a formula is given. For vertical oscillations similar formulae as
those derived here are applicable.
The effect of non-linearity intho case of passage through
resonance can be taken into account by a sPetitution mentioned
here. When passing through the resonance a contains a constant,
an oscillation, and a slowly increasing term. The significance
of these terms is explained here in short. In conclusion the
safety condition, which it in not difficult to satisfy, is ob-
tained.
ABSOCIATION: Not given
PMMIN?ZD BY:
BUNITM:
AVAILASM. Library of Congress
Card 313

A,
AUTHOR s ORLOV,YU.F. PA - 2678
TITLE s _1ro_n_-1Tn_*&r Theory of Betatron Oscillations in a Strong Focussing
Synchrotron. (Russian).
PERIODICAL: Zhurnal Ekspe is. i Tooret. Fiziki, 1957, Vol 32, Hr 2,
pp 316 - 322 (U.S.S.R.)
Received, 5 / 1957 Revieweds 6 / 1957
ABSTRACTs The present paper develops a now method for the investigation
of betatron resonances. First the equation of the betatron oscilla-
tions round a certain plane course in a strong focussing synchrotron
are explicitly written down.
The first resonagge apiproximations One of the main tasks of the
theoryie the determination of the limits of the so-called security
range within theme limits. In this security range the amplitude
must not exceed a prescribed value. The most attention is re-
quired by those values,;r \7awhich are on the limit of the
security range, i.e. rather close to the exact resonance values.
(Herel denotes the frequency of oscillations in the horizontal
directisn, V the frequency of oscillations in the certical di-
rection). Thl resonance harmonics can be sorted out from the per-
turbationa and the harmonica of first approximation not belonging to
the resonance@ can be omitted. Such an operation mostly gives good
approximation. The method can be considerably improved in the
Card 112 following manners by a suitable selection of the corresponding

Non-Linear Theory of Betatron Oscillations F.& - 2678
in a Strong Focussing Synchrotron.
variables the resonance equations can be met up in the form of
Hamiltonian equations. In practically all important cases the square
A2and A 2 of the amplitudes and certain phase displacement& T (P
r 2 r~ z
can be used as variables. The Hpmiltonian does not depend upon
the angular variable 0.
Parametric resonances On the left and on the lower limit of the
security range the influence of all resonances, except the parametri
ones, can be neglected. The corresponding equations are set up.
The influence of the non-rooonanoe-dependent harmonics can be in-
vestigated by means of the so-called perturbation theory of
reson&ne*.The effects of second order cause corrections in the
coeffici;nts of resonance equations of first order. Higher
approximations are practically of no importance.
ASSOCIATION: Not given
PRESENTED BYP
SUBMITTEDs
AVAILABLEt Library of Congress.
Card 2/2

;OVI 12 0- 5-- 5- ---)/ -112
AUTHM3:Orlov. Ya. F. and Tarasov, Ye. K.
TIM&: ExcitatiDn of' Oscillati~,,,-~s in an Electron Cyclic Acceler%~-,r
uy ~Quantu:i Fluctuaui:ms of Radiati-)n (Vo-zbuzhde-niye &oleb-
aniy v elextronnom tsilUicheskom us~=itele kvantovy..ii
fluktuatsiya:.ii izlucheniya)
PERIODIJAL: Pribory i te~Lliniica eksperimenta, 1953, Nr 5, P~- 17-.-'0
(USSR)
ABSTRACT: The effect of considerable gro%vth of oscillatiorls in an
electron accelerator was discovered and studied by the
authors of Ref.1, and was further investigated in and
3. In Ref.2 this effect was discussed, taking accoant
the damping of phase and radial oscillati)ris. It was e~tab-
lishLed in Ref.2 that in a usaal accelerator with ~.tron~-7
focussin-, raaial osciiiati-)Ts are -overned by iotic,- for.r,,ala:
0 C,
r^,*eXP 12 ~PY/E.dt) wnere P is the
(1 0 Y
avcra,,ed ov,,r ~Iie frequ,-~nciej of the qaanta, and E i.:-; tte
e..er~;y o.L'* the p:i 1.- tt ePhase are di.,;L)o(7 v..-ith
jard 1/3 a .10cre-aert eoaal to 2 PY/E In the ;,)resent

Excitation of Osciliati,)z:s -Ln wi Electron. J,~clic
quanta:a Fluctuations of Radiation
Srowth of radial oscillatiDns is ex:)ressed
fai~cti---)n of a certain general p~,,rameter which dependL3 i ~)n
"ie cou7rlin- betwee7i radial and Dhase oscillatiolis. T~,o
Q.
dependence of this .-arameter on the structure of t'ie
system was discussed in some detail in a previous paper -by
the I)resent authors (Soviet Physics, 1':258, Vol 34 Z7), ".r
4-49(65") (ir-, Enrjish)). General formulae are nDw obtained
.Lor rms am-plitudes of phase and radial oscillations vi' ~-Iich
_,netic field along
.ake into account t.-~e variation of the mai-
the orbit, wl-lich i.s -,),-)ssible in an accelerator with stron.-
focussing. The coupling between the dzamping factors for
i)11,713e Mid radial oscillations is taker. into account. The
~Iard 213

SOV/120-58-5-2/32
Excitation of Oscillations in an Electron Cyclic Accelerator by
QuaritiLm Fluctuatiors of Radiati-in
fluctuatiDns of radiation are considered classically, assun-
ing that the energy of the electrons is muer- larger than the
U
energy of the quanta emitted by them. There are 2 fi,-ures
and 3 Soviet references.
SUBMITTED: October 15, 1957.
Card 3/3

SOV/120-58-6-2/32
AUTHORS:Orlov, Yu. F. and Tarasov, Ye. K.
TITILE; 11-~~~~stability at Large Gradient in an Electron
Accelerator with Strong Focussing (Vozniknoveniye neustoy-
chivosti pri bol'shom gradiyente v elektronnom uskorite'Ae
s zhestkoy fokusirovkoy)
PERIODICAL: Pribory i tekhnika eksperimenta, 1958, Nr 6, PP 15-18
(USSR)
ABSTRACT: In the presence of a large gradient ( n of the order of
a few hundreds) in an electron accelerator, betatron or
phase oscillations may become unstable, The effect is the
result of radiation and resonance irregularities in the
magnetic field when they occur simultaneously,
1) The effect of resonance irreEularities of the field u_por-
the-X!-- of phase oscillations,, The effects considered-
in this section occur as a result of a strong dependence of
radiation on the position of the electron orbit in an
accelerator with strong focussing. If the orbit is displaced
from the equilibrium Position then the magnetic field
along the orbit varies by an amount given by:
~ allz r, -4 H (Ii-z) z (1)
6HZ r
Card 1/4 ( r )s

SOV/120-58-6-2/32
Appearance of Instability at Large Gradient in an Electron Ac-~e-er-
ator with Strong Focussing
as compared with the field on an undisturbed orbit, The
radiated power also varies and is given by:
4
P a 2 e.- E2
Y 3m4 (1*7 z r
p (1 + 2 1 8Hs 1 ~2 2
YS
2
+ z
a ) 2)
The effect of the linear term in Eq.(2) upon the damping of
0
the oscillations has been discussed in many papers. -in pax-
ticular, in Refs,1 and 2, The non-linear terms have always
Card 2/4
-A,

SOV/120-58-6-2/32
Appearance of Instability at Large Gradient in an Electron Acceler-
ator with Strong Focussing
been neglected. However, in the presence of-irregularities
in the magnetic field along the equilibrium orbit which may
be duc to, for example, innaccurate lining up of the magnets,
the non-linear terms in Eq.(2) may play an important or even
decisive role, As is well-known, when field irregularities
are present, resonances occur which have a marked effect upon
the form and the amplitude of the periodic orbit of an
electron. It is shown that instability will occur when,.
k + i