Systematic searching for cavity and waveguide modes by making use of Foster's theorem

Resonance and irrotational cavity modes as well as waveguide eigenmodes are usually determined numerically (except for a few structures whose solutions are analytically known). Most of the methods of analysis end up at a determinental equation, the zeros of which characterize these modes. Numericall...

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Bibliographic Details
Main Authors: Jostingmeier, A., Rieckmann, C., Omar, A.S.
Format: Conference Proceeding
Language:English
Subjects:
Degradation
Equations
Frequency
Planar waveguides
Poles and zeros
Resonance
Scattering
Transmission line matrix methods
Waveguide discontinuities
Waveguide theory
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Summary:Resonance and irrotational cavity modes as well as waveguide eigenmodes are usually determined numerically (except for a few structures whose solutions are analytically known). Most of the methods of analysis end up at a determinental equation, the zeros of which characterize these modes. Numerically overlooking some of these zeros is one of the problems which greatly degrade the accuracy of a field expansion in terms of the corresponding modes. In this contribution it is shown that it is always possible to find a reactance (or susceptance) function having the same set of zeros as the original determinental equation. This enables making use of Foster's theorem to systematically determine these zeros.< >
ISSN:0149-645X
2576-7216
DOI:10.1109/MWSYM.1995.405981