Generalized Decomposition of Electromagnetic Fields in Bi-Anisotropic Media

摘要

TE/TM decomposition of electromagnetic fields, with respect to one specialdirection in space, is well known to be valid for fields in isotropic and uniaxially anisotropic media. The theory has been recently generalized to bi-anisotropic media by defining the decomposition with respect to two spatial directions and linear combinations of electric and magnetic fields. In the present paper, the theory is further generalized by defining the decomposition with respect to four spatial directions (two six-vectors) which define the polarizations of the decomposed electromagnetic six-vectors. It is shown that the class of bi-anisotropic media in which electromagnetic fields can be decomposed into two indepdendent electromagnetic fields (a-field and b-field) is more general than in all of the previous decomposition theories, which appear special