Reflection of a Plane Transient Electromagnetic Wave From a Cold Lossless Plasma Slab

TLDR: In this paper, a plane transient electromagnetic wave from a plasma half-space and a plasma slab is considered, and the Laplace transforms may be inverted exactly, yielding a solution in the form of Bessel function series.

Abstract: Reflection of a plane transient electromagnetic wave from a plasma half-space and a plasma slab is considered. The plasma is assumed to be cold and collisions are neglected. Under these assumptions, the Laplace transforms may be inverted exactly, yielding a solution in the form of Bessel function series. The numerical results, for the waveform of the reflected field, exhibit features that are easily related to the plasma frequency of the slab and its thickness.