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Potential representation of electromagnetic fields in decomposable anisotropic media

An electromagnetic field representation in terms of two scalar potential functions, generalized Hertz potentials, is introduced to fields outside the source region in a certain class of anisotropic media. The class is labelled decomposable anisotropic media, a generalization of uniaxial anisotropic media, in which any electromagnetic fields outside the sources can be decomposed into TE and TM partial fields with respect to two axial directions defined by the medium. A potential representation is introduced by first expressing the fields in terms of their axial components. Instead of differential equations of the fourth order, satisfied by the field vectors, the potential functions are shown to satisfy second-order differential equations which reduce to the classical ones for the special cases of isotropic and uniaxially anisotropic media. A comparison of solving the electromagnetic field vectors through potentials or axial field components is briefly discussed.