SCIENTIFIC ABSTRACT BARTOV, A. V. - BARTUSEVICIENE, A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000203810003-4
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 6, 2000
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

27202
3/056/61/041/002/024/028
all B125/B138
AUTHORS: Bartov, A. V., Zavoyskiy, Ye. K.,
Frank-Kamenotakiy, D. A.
TITLE- Magnetoacoustic resonance in strong magnetic fields
PERIODICAL: Zhurnal ekeperimentallnoy i teoreticheekoy
'A'iziki, v. 41,
no. 2(8), 1961, 588-591
TEXT: The authors put aside the previous limiting
condition W 2 )d in
0 a
order to study the possibility of the occurrence of
resonance phenomena
of the magnetoacoustic type in a plasma with a
concentration variable in
time. They study the case where the plasma frequency is
of the same
order as, or less than, the electron cyclotron frequency.
Here, W e
denotes the electron cyclotron frequency. This case
occurs either in a
rarefied plasma (low plasma frequency) or in very strong
magnetic fields
(high cyclotron frequency). A plasma with a cyclotron
frequency higher
than collision frequency is said to be magnetized (with
regard to
collisions). If the cyclotron frequency is higher than
the plasma
frequenoyg the electrostatic oscillations will be
magnetized. Such a
Card 1/5

MOZ
S/056/61/041/002/024/028
Magnetoacoustic resonance in strong... B125/B138
2/W2 nr 2/H2
plasma shows oscillatory magnetization. Then, the ratio 110
0- 4 'me
is about the same as the ratio of electron rest energy to
magnetic energy.
Thus, a plasma with magnetic energy higher than the
electron rest energy
will undergo oscillatory magnetization. In a rarefied
plasma, the
resonance frequency of magnetic sound will, with a purely
radial
propagation, approach the loWbr hybrid frequency. The
following general
expression for the lower hybrid frequency is derived:
2
W 2 0 W + we
h 1 2 +
0
The approximate formula derived by D. A. Frank-Kamenetskiy
(ZhETF, 669,
1960) holds for 2>* LO Q . When W2.4 the lower hybrid
frequency tends
'40-1 0 Wi0e 1 2 2
towards the ion cyclotron frequency, and when 9-~~w ,
towards the
0 e
geometric mean of ion-electron the cyclotron. There is a
wide interval
2 2
W )~ W-!# W W , in which the approximate formula for the
lower hybrid
8 0 1 e
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M02 B/056/61/041/002/024/028
Magnetoacoustic resonance in strong... B125/B138
frequency reads w2~, 2 o,/Oe (2). Here, the lower hybrid
frequency is
h WO
proportional to the plasma frequency. At a given magnetic
field strength
(we U const) the resonance frequency of magnetic sound
decreases with
increasing concentration in a dense plasma and increases in a
rarefied one.
In between, it should pass through a maximum. If the maximum
is flat
enough, resonance may occur over a wide range of
concentrations. The
dispersion relation
b,S2' + b,Q3 - b,01 + bjU - bo ~= 0; (7)
b, = 3A + B + 2R (I + ctg'. 0),
bs ~ A3 + 3AB + B2 - f2A + B + R (I + ctga 0)1,,
bs = (A + B) (A + R (I + Ct9' 0) Is - AB (A + R),
b, = A R (A + -R + BR ctgl 0 (1 + ctg 0)
b0 = A R2 ctg2 6 (1 + ctg2 e).
2/63
defines the dimensionless frequency 2 - w 10,- Neglecting all
coefficients except b2 and b1, the following approximate
formula is
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VTOI 8/056/61/041/002/024/028
Magnetoacoustic resonance in strong... B125/B138
2 + BR
obtained where cot oot2g) I(L + 1 + 1) (8). The
A +R R A
formula corresponds to the "long cylinder approximation". In
these
2/1,
formulas, A -W 0 %iWe (4) indicates the square of the Alfv~n
index of
refraction; B - %/Wi is the ratio of the cyclotron frequenciesl
R a k2c21WiW -k 2r r tang kl/k Here, W is resonance frequency;
L,,~ is
I a I i e; 3*
plasma frequency; We and 0 are the electron and ion cyclotron
cyclic
frequencies; k 1 and k3 are the radial and the longitudinal
wave numbers;
'~e and Yiare the cyclotron radii at the velocity of light; and
0(9,