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

Author

Listed:
  • Giovanni Angiulli

    (DIIES Department, “Mediterranea” University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
    These authors contributed equally to this work.)

  • Mario Versaci

    (DICEAM Department, “Mediterranea” University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
    These authors contributed equally to this work.)

  • Salvatore Calcagno

    (DICEAM Department, “Mediterranea” University, Via Graziella Feo di Vito, I-89122 Reggio Calabria, Italy
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Giovanni Angiulli & Mario Versaci & Salvatore Calcagno, 2020. "Computation of the Cutoff Wavenumbers of Metallic Waveguides with Symmetries by Using a Nonlinear Eigenproblem Formulation: A Group Theoretical Approach," Mathematics, MDPI, vol. 8(4), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:489-:d:340075
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