The governing equations for electromagnetic phenomena in lossy, compressible, magneto-ionic media are formulated in terms of a newly introduced compressivity tensor. The matrix forms of both the permittivity tensor and the compressivity tensor are given. From the new governing equations, a three-dimensional vector wave equation and a dispersion equation are derived. In a source-free region, a set of three simultaneous wave equations in the longitudinal components of the electric and magnetic fields and in the pressure distribution can be written. These equations can be decoupled in the lossless case by effecting a transformation. The required transformation matrix and the resulting uncoupled, second-order, differential equations are given. Formulas for the determination of the transverse components of the electric and magnetic fields are also derived.
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Chen et al. (1966) studied this question.
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