An incidence of electromagnetic wave on a flat plasma layer

Summary form only given. It is known that temporal variations in medium parameters cause alterations in the frequency and amplitude of the electromagnetic wave propagating in the medium. The wave reflection from a moving boundary of the medium results in the same effect. These effects can be used for a generation of high power microwaves and ultra wide band pulses. The purpose of the paper is to consider the normal incidence of an electromagnetic wave on a flat plasma layer. It is considered both a steady layer and a layer whose boundaries starting from a zero moment of time move one towards another so that after a certain temporal interval the collapse of the layer takes place. The problem is formulated in terms of the Volterra integral equation of the second kind and its solution is found by the resolvent method. The resolvent operators for both the steady layer and the layer with collapsing boundaries are obtained. The resolvent obtained allows to consider the transformation of an arbitrary initial electromagnetic field.