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

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.