Electromagnetic source decomposition for generalized decomposable bi-anisotropic media

The classical TE/TM decomposition theory, valid for isotropic and uniaxially anisotropic media, has recently been generalized to a class of bi-anisotropic media. In such a decomposable medium any electromagnetic field can be decomposed into two individual electromagnetic fields, an a-field and a b-field, satisfying certain polarization conditions. The natural continuation of the theory is to decompose the electromagnetic sources that is the topic of the present paper. The differential equations for the a- and b-sources are derived and seen to generalize the previous results. Also one example of possible source decomposition is suggested.