A transverse magnetic field formulation of the finite-element method for solving lightwave propagation in optical guides has been implemented. The method requires that the interface boundary conditions E and H, have been imposed, and this performed by solving the vector wave equation in the null space of the boundary operator. Results for a three-layer ridge waveguide, even with a very coarse mesh, compare well with published values. In addition, results for a lossless multiple-quantum-well ridge guide, again using a coarse mesh, show excellent agreement with results from a variable mesh semivectorial finite-difference program.
Bibliographical noteFunding Information:
Manucript received September 9, 1992; revised March 2, 1993. This work was performed with the support of the U.S. Air Force Rome Laboratories, Hanson Field AFI3 contract AF/F19628-91-K-0044, NSF Grant ECS4-9025096, and the University of Minnesota. The authors are with the University of Minnesota, Department of Electrical Engineering, Minneapolis, MN 55455. IEEE Log Number 9210004.