Modeling of optical waveguide structures with general anisotropy in arbitrary orthogonal coordinate systems

An extended algorithm for the analysis of arbitrary waveguide structures with general anisotropic materials is proposed and substantiated. This algorithm is based on generalized transmission line (GTL) equations which are developed here for numerical algorithms. For the purpose of analysis, a general modal matrix for the discretized transverse electric and magnetic fields is calculated. Furthermore, impedance/admittance transformation formulas are developed with the help of the GTL equations for longitudinal sections. The proposed algorithm is verified by numerical results.