Abstract
Electromagnetic fields in anisotropic media can be represented in terms of dyadic Green's functions. The four dyadic Green's functions (Green's tensors) are solutions of systems of coupled tensor equations of first order which can be transformed to second‐order tensor equations for each of the Green's tensors. For the special case of gyrotropic media (anisotropic media with a distinguished axis and electromagnetic parameters having a rotational invariance with respect to this axis, like a cold ionospheric electron plasma under the influence of earth's magnetic field) it is shown how the Green's tensors can be represented in terms of scalar Hertz potentials. So the problem of solving tensor equations can be reduced to the solution of a system of two coupled partial differential equations of second order for only two scalar potentials.
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