Finite Difference Calculations of InP/InGaAsP Optical Waveguides with Arbitrary Index Profile

Abstract

A novel realization of non-uniform semivectorial finite difference method for the analysis of semiconductor optical waveguides is presented. By using non-uniform mesh structure computer time is saved while the accuracy is maintained. Also, the accuracy of the results increased by balancing the coefficient matrix without increasing computation time. Calculation of all eigenvalues (real and complex) is enabled by the method. The results of the calculation are compared for uniform and non-uniform methods and for two different optical waveguides. It is indicated that accuracy of the result is mainly dependent on the mesh refinement near the material interfaces. It is also indicated that for small mesh size using non-uniform method is necessary while uniform method is useless due to huge computer time and memory needed.