Abstract
This study is concerned with the theory of parametric coupling of waves in a hot inhomogeneous magnetized plasma in which the temperature gradient has been taken into account. The general dispersion relation and the polarization of the ordinary and the extra‐ordinary wave modes are discussed. The eigen‐mode solutions of the coupled differential equations for the wave amplitudes are obtained in the terms of the so called three wave interaction matrix elements. The theory of nonlinear wave‐wave interactions, which has been extended to the case of an inhomogeneous magnetized plasma, is used to determine the threshold value of the electric field and the frequency shift. The results of this paper are also compared with the other known results. It is shown that the findings of this study are in excellent agreement with the results of earlier investigators.
Highlights
This study is concerned with the theory of parametric coupling of waves in a hot inhomogeneous magnetized plasma in which the temperature gradient has been taken into account
It is shown that the value of the threshold electric field increases in an inhomogeneous plasma because energy propagates away from the unstable region by electron plasma waves
Kroll, Ron and Rostoker [12] have suggested that the nonlinear resonance of two transverse lectromagnetic waves whose frequencies differ slightly by the electron plasma frequency can be applied to excite longitudinal electron plasma oscillations
Summary
Component and B B z is the external magnetic field The subscript u stands for e or i corresponding to electrons and ions respectively, Z e is the charge of an electron or ion and is the Boltzmann Constant. We consider a plasma model whose density dlstrlbution varies as 0 a pao(1-x) with the density gradient. Pao (d__) i and neglect the time dependence of UO due to any external electric field. The zeroeth order solution of (2.1) gives
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