Abstract
We discuss symmetry properties of the combined systems: electromagnetic field (TE and TM modes)+medium (nondiagonal permeability tensor [μ] and nondiagonal permittivity one [ϵ]) in 2D photonic crystals with transverse magnetization. We show that the origin of orthogonality of the pairs (TE mode+[ϵ]) and (TM mode+[μ]) is different parities of the corresponding fields with respect to the horizontal plane of symmetry of the crystal. As a result of this symmetry, a common use only of the permittivity tensor [ϵ] in the electromagnetic theory of nonreciprocal optical components, ignoring the permeability tensor [μ], leads to loss of a significant part of possible solutions related to TE modes.
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