TY - JOUR T1 - On Finite Element Methods for Inhomogeneous Dielectric Waveguides AU - Chen , Zhiming AU - Yuan , Jianhua JO - Journal of Computational Mathematics VL - 2 SP - 188 EP - 199 PY - 2004 DA - 2004/04 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10322.html KW - Waveguide, Eigenvalue, Inf-Sup condition. AB -
We investigate the problem of computing electromagnetic guided waves in a closed, inhomogeneous, pillared three-dimensional waveguide at a given frequency. The problem is formulated as a generalized eigenvalue problem. By modifying the sesquilinear form associated with the eigenvalue problem, we provide a new convergence analysis for the finite element approximations. Numerical results are reported to illustrate the performance of the method.