Modeling and analysis of guided-wave structures involving both bi-isotropic and bi-anisotropic media

A new strategy of modeling and analysis with a transmission line matrix (TLM) algorithm is developed to account for the dynamic effects of both bi-isotropic and bi-anisotropic media on propagation and scattering characteristics. First, the symmetrical condensed node in the frequency-domain is generalized to include bi-anisotropic media. The nodal scattering matrix is derived directly from Maxwell´s equations using the centered finite difference and the transformation of variable. With the proposed node, a frequency-domain TLM algorithm is then established for the analysis of propagation and scattering of arbitrary waveguiding structures including discontinuities such as chiral-filled rectangular waveguides and microstrip on a bi-isotropic non-reciprocal or chiral substrate. It is shown that the proposed TLM modeling provides a powerful tool for the theoretical study of a new class of complex materials.