Computation of the Cutoff Wavenumbers of Metallic Waveguides with Symmetries by Using a Nonlinear Eigenproblem Formulation: A Group Theoretical Approach

Giovanni Angiulli, Mario Versaci and Salvatore Calcagno
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Giovanni Angiulli: DIIES Department, “Mediterranea” University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
Mario Versaci: DICEAM Department, “Mediterranea” University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
Salvatore Calcagno: DICEAM Department, “Mediterranea” University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy

Mathematics, 2020, vol. 8, issue 4, 1-10

Abstract: The evaluation of the cutoff wavenumbers of metallic waveguides can be related to the numerical resolution of a suitable nonlinear eigenproblem defined on the domain C described by the contour of its transverse cross section. In this work, we show that the symmetries of C can be exploited to obtain a block diagonal matrix representation of the nonlinear eigenproblem, which enables a remarkable reduction in the computational effort involved in its resolution.

Keywords: metallic waveguides; cut-off wavenumbers; nonlinear eigenvalue problem; group theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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