The main purpose of this paper is to use the finite element method using a penalty function formulation to solve the vector wave equation with transverse H-field formulation together with the boundary operator. We impose continuity conditions on the boundary interfaces for both Ez and Hz components. We apply this technique to obtain the propagation constant for a three-layer ridge structure and a multiple quantum well ridge guide as examples, and a comparison with previously published results shows excellent agreement.
Bibliographical noteFunding Information:
Manuscript received November 16, 1993. The work of M. Silveira was supported in part by the Fundacao de Amparo a Pesquisa do Estado de Sa0 Paulo-FAPESP under Contract 92/3142-2, and in part by the University of Minnesota and the Minnesota Supercomputer Institute. M. Silveira is with the Universidade Federal de Sa0 Carlos, Sa0 Carlos, SP 13560, Brazil, on leave at the Department of Electrical Engineering, University of Minnesota, Minneapolis, MN 55455 USA. A. Gopinath is with the Department of Electrical Engineering, University of Minnesota, Minneapolis, MN 55455 USA. IEEE Log Number 94078 1 1.