Nonlinear Effects in Plasma Resonance

Abstract

The problem of interaction between a plasma and radiation is formulated in a self-consistent fashion. The particular nonlinear effect of interest is associated with the possibility of the excitation of a localized electrostatic mode by an externally impinging radiation. The equation for the localized electrostatic mode is found to be intrinsically nonlinear (or anharmonic), and the explicit expressions for the frequency shift and the amplitude jump of the localized electrostatic mode are calculated.