Parametric conversion of an electron plasma wave into an electromagnetic wave in longitudinally magnetized n‐type piezoelectric semiconductor plasmas

Abstract

AbstractThe interesting nonlinear process of parametric conversion of a high frequency electrostatic wave into an electromagnetic wave is investigated analytically in an n‐type piezoelectric semiconductor plasma to which an uniform and static magnetic field is applied along the direction of wave propagation. A general dispersion relation is obtained and solved for both the cases of excited electromagnetic waves (i.e., in the cases of left‐hand and right‐hand circularly polarized waves) to study the threshold condition and the growth rate of the unstable mode at a pump amplitude well above the threshold. Numerical estimates are made for n‐InSb at 77 K irradiated with a large amplitude electron plasma wave of frequency 1013 s−1 and wave number 5 × 107 m−1. The threshold electric field is independent of applied magnetic field and the growth rates of the excited modes have linear dependence on the magnetic field.