Potential functions for a compressible and anisotropic plasma medium

It is shown that, in a compressible and anisotropic plasma medium 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. Generalised potential functions for the solution of such equations are presented. The complicated, difficult problem of analysing sources radiating in a compressible and anisotropic plasma is thus reduced to the solution of Helmholtz equations. Expressions 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.