Finite element analysis of anisotropic optical waveguide with arbitrary index profile

Abstract

This work presents the application of a scalar finite element formulation for E/sup x/ (TE-like) modes in anisotropic planar and channel waveguides with diagonal permittivity tensor, diffused in both transversal directions. This extended formulation considers explicitly both the variations of the refractive index and their spatial derivatives inside of each finite element. Dispersion curves for E/sup x/ modes in planar and channel waveguides are shown, and the results compared with solutions obtained by other formulations.