Analytical electric field intensity profile in diffused channel waveguides

Abstract

A novel analytic solution to field distribution is used to calculate the intensity distribution for channel waveguides with a two-dimensional diffusion-type refractive index profile. Composition profiles for the waveguides are obtained by applying the two-dimensional diffusion theory to treat the case of isotropic sideways diffusion. The dependence of the field distributions on the width/depth ratio is studied as an aid to the design of modulators and switches for integrated optics.