Radiation in a Compressible and Anisotropic Plasma Medium

Based on the compressivity and the permittivity tensor formulation of electrodynamics in a lossy, compressible, and anisotropic plasma medium, it is shown that when both electric and magnetic current sources are present, the longitudinal components of the electric and magnetic fields and the pressure variation satisfy the inhomogeneous coupled wave equations. A general method based on the spectral resolution of a square matrix for the solution of such an equation is presented. The complicated, difficult problem of analyzing sources radiating in a compressible and anisotropic plasma is thus reduced to the evaluation of some simple integrals. Equations for the determination of the transverse components of the electric and magnetic fields with sources are also derived. As an application of the general formulas, a complete solution for a magnetic line source is worked out in detail to demonstrate the simplicity of the method.