Source and Reflection Problems in Magneto-Ionic Media

Abstract

The scattering problems involving electromagnetic radiation propagating in magneto‐ionic media are formulated. Because of the magnetic field the medium becomes anisotropic. A practical case of great interest is that in which the frequency of the radiation is very low, in the audio range. A Green's formula is derived which expresses the field in interior regions in terms of the value of the field on any scattering surfaces present and the effect of sources. The Green's formula involves the Green's function in the usual way. The Green's functions is obtained, using a representation in terms of the eigenmodes for electromagnetic radiation propagating in the medium. The Green's function is evaluated for the special case of very low frequency.