Parametric excitation of plane waves and traveling nonlinear surface charge structures by an oscillating electric field at the plasma boundary

Abstract

With the help of a single equation, to which it was possible to reduce the original system of equations, it turned out to be possible to describe the excitation of parametric instability on plane surface waves in an alternating electric field, its saturation due to the nonlinearity of the surface charge and the generation of nonlinear structures of this charge propagating along the boundary and depending on the parameters of external influence. The amplitude of saturation of the increasing plane waves was found as a result of stabilization of parametric instability by the nonlinear effect of the surface charge. An example of a nonlinear wave structure propagating along the surface of the boundary as a result of the interaction of an external electric field with a nonlinear surface charge is presented.