Spectral Element Method for Modeling Anisotropic Circular Waveguides Loaded with Eccentric Rods via Conformal Transformation Optics

A spectral element method (SEM) is developed for the analysis of anisotropic circular waveguides partially filled with eccentric dielectric rods. The proposed formulation employs conformal transformation optics to map the original problem into an equivalent concentric circular waveguide. The mapped problem is solved using the SEM in cylindrical coordinates. The approach is validated against the finite-element method (FEM). Preliminary results show that the proposed SEM requires far fewer degrees of freedom (DoF) than FEM.