An approximate method for computing mode-dispersion parameters in two-dimensional diffused-channel waveguides

We develop an approximate analysis based on the effective-index method to obtain the universal chart of the normalized parameters describing the mode dispersion of a two-dimensional diffused-channel wave-guide with an erfc-Gaussian index profile. We have shown that the Gaussian can well be approximated by an hyperbolic-secant-squared profile and we have compared our results with those obtained by using the effective-index method.