NUMERICAL ANALYSIS OF VECTORIAL WAVE PROPAGATION IN WAVEGUIDES WITH ARBITRARY REFRACTIVE INDEX PROFILES

摘要

We demonstrate an efficient numerical method for calculating transverse electric (TE) or transverse magnetic (TM) modal properties in a waveguide with an arbitrary refractive index distribution. We approximate a planar waveguide cross-section by a finite number of thin dielectric layers and use 2 x 2 transfer matrices to relate adjacent layers. Using a back-propagation method that is simple and computationally efficient, we solve for the vectorial field across the multi-layered waveguide and plot the mode profile. There is rapid convergence to a high-accuracy solution. We also obtain the number of guided modes and the propagation constant of each mode. (C) 1997 Elsevier Science B.V. [References: 8]