×

Comparison between line and surface integral formulations of the hybrid mode-matching/two-dimensional finite element method. (English) Zbl 1064.78012

In the present paper there are discussed different formulations for the analysis of waveguides with the finite element method. Using two distinct hybrid formulations (surface-integrals and line-integrals), the authors of this paper compare the accuracies obtained by using these formulations in the case of discontinuities with waveguides of arbitrary cross-section. Several numerical simulations illustrate the results of the present paper.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
70J10 Modal analysis in linear vibration theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Uhrer, Waveguide Components for Antenna Feed Systems: Theory and CAD (1993)
[2] Figlia, On the line-integral formulation of mode matching technique, IEEE Transactions on Microwave Theory and Technique 50 pp 578– (2002)
[3] Bayer, Efficient modal analysis of waveguide filters including the orthogonal mode coupling elements by a MM/FE method, IEEE Microwave and Guided Wave Letters 5 (1) pp 9– (1995)
[4] Crinó V Tomassoni C Mongiardo M Line-integral formulation of the hybrid MM/FEM technique 2033 2036 · Zbl 1064.78012
[5] Silvester, Finite Elements for Electrical Engineers (1990) · Zbl 0587.73157
[6] Andersen, Development and application of a novel class of hierarchical tangential vector finite elements for electromagnetics, IEEE Transactions on Antennas and Propagation 47 (1) pp 112– (1999)
[7] Dillon, A comparison of formulations for the vector finite element analysis of waveguides, IEEE Transactions on Microwave Theory and Technique (2) pp 308– (1994)
[8] Ahagon, Comparison of various kinds of edge elements for electromagnetic field analysis, IEEE Transactions on Magnetics 32 (3) pp 898– (1996)
[9] Lee, Tangential vector finite elements for electromagnetic field computation, IEEE Transactions on Magnetics 27 (5) pp 4032– (1991)
[10] Bozzi, On the evaluation of modal coupling coefficients by contour integrals, IEEE Transactions on Microwave Theory and Technique 50 (7) pp 1853– (2002)
[11] Rosemberg, Multiplexing and double band filtering with common-multimode cavities, IEEE Transactions on Microwave Theory and Technique MTT-38 (12) pp 1862– (1990)
[12] Mongiardo, Analysis of N-furcation in elliptical waveguides via the generalized network formulation, IEEE Transactions on Microwave Theory and Technique MTT-47 (12) pp 2473– (1999)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.