Monte Carlo simulation of the propagation properties of single-mode dielectric waveguide structures

We have used Monte Carlo simulation to obtain the propagation constants of the fundamental and first-order modes of a number of realistic dielectric waveguide structures. We find that Monte Carlo simulation requires a comparatively modest increase in computer time to treat a channel waveguide to the same degree of accuracy as a slab waveguide. Excellent agreement has been found in 1-D and 2-D with the fundamental mode propagation constants of the analytically soluble refractive-index profiles involving 1/cosh(2). For realistic air/ Ti:LiNbO(3) diffused waveguides, excellent predictions are obtained for the propagation constant of the fundamental mode. The Monte Carlo simulation evaluation of the first-order mode requires more time and predictions are obtained with a fair degree of accuracy.