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Submitted on 1 Jan 1979
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TURBULENT PLASMA IN THE FIELD OF INTENSE HIGH FREQUENCY RADIATION
V. Kovalev, V. Pustovalov, A. Romanov, Vivien Stefan
To cite this version:
V. Kovalev, V. Pustovalov, A. Romanov, Vivien Stefan. TURBULENT PLASMA IN THE FIELD
OF INTENSE HIGH FREQUENCY RADIATION. Journal de Physique Colloques, 1979, 40 (C7),
pp.C7-609-C7-610. �10.1051/jphyscol:19797295�. �jpa-00219284�
JOURNAL DE PHYSIQUE Cozloque C7, stcppt6ment au n07, Tome 40, JuiZZet 1979, page C7- 609
TURBULENT PLASMA IN mE FIELD OF INTENSE MGM FREQUENCY RADIATION
V.F. Kovalev, V.V. Pustovalov, A.B. Romanov and V. stefanx.
P. N. Lebedev PhysicaZ I n s t i t u t e o f Academy o f Sciences o f t h e U.S. S. R., Moscow, U.S.S. R.
Boris Kidric I n s t i t u t e o f Nuclear Sciences, Beograd Yugos Zavia.
In present-day experiments dealing with the interaction of strong electromagnetic radiation vith plasma high energy fluxes of the incident radiation are in use. For exa- mple, in the optical domain of frequencies the energy flux reaches the value of 1016- 1017 W/cm 2 / I / . Along with this, situations when strong radiation propagates through the plasma with high level of turbulent no- ise are very often encountered (plasma fo- cus /2,3/ or ionospheric plasma / 4 / ) . In the presence of the pump field turbulent plasma spectrum is affected in such a way that "failures" appear in the longwave do- main when the wavelenth is of the order of electron oscilation amplitude in the exter- nal field.
For the desciption of the homogeneous i- sotropic plasma interacting with the exter- nal radiation Eo(t)=Eosin wot with the fre- quency wo much higher than the electron Langmuir frequency wLe, Vlasov kinetic equ- ation, in the form of the hydrodynamical system /5/, is used, onthe base of which a nonlinear dispersion relation for the co-
* p
2rreation function
Y '
can beobtained
Here Jo(xA is Bessel function,
6&(.(2
par-u w
tial plasma polarizability of
d
plasmacomponent and
&(
and &?)first and second nonlinear dielectric permeahility of2''
plasma component.
In equation (1) the first addendum inclu- des the effect of high-frequency field Eo(t) on plasma dielectric permeahility
EO(h)
/ 6 , 7 /the change of nonlinear interaction of pla- sma waves in the presence of the high-fre- queney field is included in remaining adde- nds.
Let us consider now the process of indu- ced scatterinq of the Langmuir waves on par- ticles in the external field Eo(t)when
~*kk,d>>~h~:&dy~
is satisfied. ForI - r
the spectral density of oscillation energy
X ( k ) the following equation is obtained
In a magnetized plasma, the turbulence
-
of the oblique Lanqmuir waves, excited, for example, by encountering electron beams
Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19797295
with velocities ti??, paralel to magnetic field Bo is characterized by stationary
+
spectral distribution /4/ which in a strong high-frequency field a=(kt )>1 appeared to 4+
e
he modulated over the frequency with the
2
period
~ * n = d ~
~ b / e ~ .N
FIere S(
(case\)
describes angle distributions of plasma turbulent noise in the presence of the external field Eo(t). The characte-+
ristic modulation of the spectral distribu- tion (M: (a) ) connected with the effective amplification of nonlinear interaction of waves in a stronq high frequency field, a- pnears in the form of kernel modification
(QCE,~~,,
.vs.'(.r) )
*Spectral distribution (3) also describes the modulation of the plasma noise in the case when instabilities arise because of the presence of electron beams in the cu- rrent-carrying plasma with velocity ub (ve- locity of a beam is oriented along drift
-+
-b*velocity u, (uub)>O. The angle distribu- tion of plasma noise in that case, certain- ly, has other form /8/. Let us note that modulation of plasma noise by high-frequen- cy external field appears if intensity of
w e L
external field is strong enouc~h
go* - e k
So, in the above case of current carrying plasma with electron beam defined by para- aeters ne=1~18cm-3, nb/ne=10 -3
,
ub=4, 2.10 9cm/s, u=4.10 cm/s, Te=Ti=Tb=lOO keV charac- 7
4 -1
with wave number k-2 10 cm could he ex- cited. Here nb
-
particle density of beam electrons, ne-
particle density of curr- ent carrying plasma electrons, TeIi tem-~erature of electrons (ions) of current carrying plasma and Tb temperature of beam electrons. In the case of using C02 laser as source of high-frequency field, necessa- ry value of energy flux is q r 4 * 1 0 ~ ~ ~ / c r n ~ : obtainable in present time devices.
REFEREI\!CES
/1/ W.L.Kruer, et al, Collective hehaviour in recent laser-plasma experiments, Lawren:
ce Livermore Laboratory, June 7,Preprint UCRL 777 30, (4976)
/2/ V.A.Gribkov, et al, Works of FIAN,85, (1976) 193,
/3/ K.Yoneyoshi, et al, J.Phys.Jap.g(l976) 1081
/4/ Yu.V.Golikov, et a1,JETP Lett.22 (1975) 3 (in russian)
/ 5 / V.V.Pustovalov, et a1,Lebedev Institu
te Report, No.12, (1976) 28,
/6/ Yu.lY.Aliev, V.P.Silin, JETP 48(1965) 901
/7/ V.I.Domrin, Preprint FIAN USSR, No.38, (1367)
/8/ V.V.Pustovalov, et a17 Preprint FIAN
t?SSR, No. 183, (1973)
teristical for plasma focus, oscilat,%ons with wave number