Three-dimensional rigorous analysis of dielectric grating waveguides for general cases of oblique propagation

Abstract

A rigorous analysis of wave guidance by dielectric grating waveguides is presented for the general case that both the grating vector and the direction of the guided wave have an arbitrary orientation in three dimensions. Guided modes then become TE-like and TM-like modes owing to the coupling between TE and TM waves. The analysis is formulated in a unified matrix form so that guidance properties can be obtained accurately in any level by systematic matrix calculations. The calculated results indicate that peculiar stop bands and leaky waves appear as a result of coupling between TE and TM waves.