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Volume 22, Issue 2
On Finite Element Methods for Inhomogeneous Dielectric Waveguides

Zhiming Chen & Jianhua Yuan

J. Comp. Math., 22 (2004), pp. 188-199.

Published online: 2004-04

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  • Abstract

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.

  • Keywords

Waveguide, Eigenvalue, Inf-Sup condition.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-188, author = {Chen , Zhiming and Yuan , Jianhua}, title = {On Finite Element Methods for Inhomogeneous Dielectric Waveguides}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {2}, pages = {188--199}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10322.html} }
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.

Chen , Zhiming and Yuan , Jianhua. (2004). On Finite Element Methods for Inhomogeneous Dielectric Waveguides. Journal of Computational Mathematics. 22 (2). 188-199. doi:
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