Al. Topa et al., NEW BIORTHOGONALITY RELATIONS FOR INHOMOGENEOUS BIISOTROPIC PLANAR WAVE-GUIDES, IEEE transactions on microwave theory and techniques, 42(4), 1994, pp. 629-634
Using a linear operator formalism this paper presents new biorthogonal
ity relations for the hybrid modes supported by planar waveguides inho
mogeneously filled with general biisotropic media. In the special case
of lossless biisotropic media, the linear operator is self-adjoint, t
he original and adjoint waveguides are identical and new orthogonality
relations can be derived. As an example of application, the radiation
modes of a grounded nonreciprocal and lossless biisotropic slab waveg
uide are analyzed in terms of a pair of incident transverse electric (
ITE) and incident transverse magnetic (ITM) continuous modes, which ha
ve the advantage of being mutually orthogonal and of having a clear ph
ysical interpretation.