Symmetric Mode in a Planar Plasma Waveguide: Numerical Study of Nonlinear Effects

Abstract

The investigation of nonlinear effects and their impact on the wave processes are of present interest. Important place in these examinations finds also the study of nonlinear surface waves (SWs), guided by bounded by dielectric plasma structures [1, 2]. The self-action determines in a self-consistent manner the parameters of the medium and the characteristics of the wave. The self-action gives rise to the phenomena of self-phase modulation leading to the formation of envelope solitons, and self-focussing, conditioning the formation of waveguided channels. To study the first kind of nonlinear waves, it is necessary to know the dispersion of group velocity, determined by the linear dispersion law and the nonlinear frequency displacement or the nonlinear addition to the wavenumber, given by the nonlinear dispersion law (NDL). For the analysis of self-focussing processes, the knowledge of the nonlinear change of the wave amplitude in transverse direction is substantial. The amplitudes of the SWs have certain distribution in transverse direction. The results given here are presented in detail in [3].