scholarly journals Instability of a Weakly Ionized Plasma Induced by an Alternating Electric Field

1967 ◽  
Vol 37 (4) ◽  
pp. 769-770 ◽  
Author(s):  
Kyoji Nishikawa
Keyword(s):  
Electric Field ◽  
Alternating Electric Field ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma

Higher Harmonics Generation in Weakly Ionized Plasmas in Time-Varying Crossed Fields

1969 ◽  
Vol 24 (4) ◽  
pp. 545-555
Author(s):  
Wolfgang Stiller ◽  
Günter Vojta
Keyword(s):  
Distribution Function ◽  
Electron Distribution Function ◽  
Time Varying ◽  
Higher Harmonics ◽  
Circularly Polarized ◽  
Linearized Boltzmann Equation ◽  
Dependent Part ◽  
Alternating Electric Field ◽  
Weakly Ionized ◽  
Weakly Ionized Plasma

Abstract The linearized Boltzmann equation of kinetic theory for the electrons of a weakly ionized plasma under the action of an alternating electric field E = cos ω t {Ex, Ey, Ez} and a circularly polarized magnetic field BR = B {cos ωBt, sin ωbt, 0} is solved. The direction-dependent part f1 (r, v, t) of the distribution function contains especially higher harmonics with frequencies 2 ωB, ω± ωB , ω±2ωB. These overtone frequencies are generated - unlike the higher harmonics obtained by Margenau and Hartman - by a cross drift mechanism and are present even if the isotropic part f0 of the electron distribution function is assumed to be time-independent. The physical meaning of the various contributions to the distribution function f1 is discussed in detail.

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