Evolution of a double-exponential pulse signal in a rectangular cavity filled with a plasma

Abstract

Goal of this study is to present an evolutionary approach for the analysis of waveforms which can be excited by a pulse signal in a rectangular cavity filled with a plasma and bounded by perfect electric conductor surfaces. Maxwell's equations with time-derivative supplemented with initial conditions have been solved under the principle of causality. Dynamic version of the Ohm's law for plasma was involved in the system of Maxwell's equations as the constitutive relation between the plasma current vector and the electric field. Solutions have been obtained explicitly in the form of convolution integrals.