Abstract
A differential forms inspired finite element based discretization scheme for waveguide eigenvalue problems is presented. Naïve discretization of the governing variational expression involving only transverse fields with edge elements renders the discretized eigen-equation unsolvable. Motivated by differential forms, in the proposed scheme, electric and magnetic fields are discretized with curl-conforming basis functions on the primal and dual grids, respectively. Meanwhile, magnetic flux density and electric displacement fields are discretized with divergence-conforming basis functions on the primal and dual grids, respectively. Matrices in the resultant eigen-equation is well-conditioned and easy to solve, which is validated by several numerical examples.
Recommended Citation
Q. I. Dai et al., "Differential Forms Inspired Finite Element Discretization For Waveguide Eigenvalue Problems," IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), pp. 2242 - 2243, article no. 6905448, Institute of Electrical and Electronics Engineers, Sep 2014.
The definitive version is available at https://doi.org/10.1109/APS.2014.6905448
Department(s)
Electrical and Computer Engineering
International Standard Book Number (ISBN)
978-147993540-6
International Standard Serial Number (ISSN)
1522-3965
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
18 Sep 2014
