Calculation of the fundamental cutoff frequency in a case of waveguides of doubly connected cross section

The lowest cutoff frequency of a circular waveguide with a concentric inner polygonal domain is determined using a conformal mapping variational approach. The results are verified by means of a modified Randall's empirical rule. It is shown that this technique leads also to good relative accura...

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Bibliographic Details
Published inProceedings of the IEEE Vol. 65; no. 9; pp. 1392 - 1395
Main Authors Laura, P.A.A., Diez, L., Gianetti, C., Luisoni, L.E., Grossi, R.
Format Journal Article
LanguageEnglish
Published IEEE 01.01.1977
Subjects
Boundary conditions
Conformal mapping
Cutoff frequency
Eigenvalues and eigenfunctions
Electromagnetic analysis
Electromagnetic propagation
Electromagnetic waveguides
Maxwell equations
Partial differential equations
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Summary:The lowest cutoff frequency of a circular waveguide with a concentric inner polygonal domain is determined using a conformal mapping variational approach. The results are verified by means of a modified Randall's empirical rule. It is shown that this technique leads also to good relative accuracy in the case of polygonal domains with a concentric circular domain.
ISSN:0018-9219
1558-2256
DOI:10.1109/PROC.1977.10717