Study of the Surge Signals in a Plasma-Filled Rectangular Cavity

Abstract

The aim of this analytical study of a plasma-filled rectangular cavity in time domain is to exhibit the ability of the evolutionary approach to study the electromagnetic fields forced by surge signals in a dynamical system. Maxwell’s equations for the fields and the boundary conditions for the perfect electric conductor rectangular cavity are supplemented with the constitutive relation for the plasma. Two different pulse waveforms were used for modeling of the surge signals exciting the fields. The solution is obtained for the dynamical system in the form of product of two elements. First element that depends on coordinates is a modal basis. The other element depending on time is a modal amplitude. The modal basis is specified as a summation of four subspaces. Two of these subspaces resemble the solenoidal modes, and the other two resemble the irrotational modes. Evolutionary differential equations with initial conditions are obtained and solved analytically for the amplitudes.