Vectorial Analysis of Anisotropic Dielectric Waveguides by the Multidomain Collocation Method

A full-vectorial mode solver in terms of the transverse magnetic field components for optical waveguides with transverse anisotropy is developed by using multidomain spectral collocation method based on the Chebyshev polynomials basis functions. The waveguide cross section surrounded by the perfectly matched layers is divided into suitable number of homogeneous subdomains and then connected with by imposing the continuities of the longitudinal field components at the dielectric interfaces between the adjacent rectangles, resulting in a generalized matrix eigenvalue problem. An anisotropic square waveguide is considered as a numerical example to show the effectiveness of the established method.