Axisymmetric electromagnetic oscillations in open perfectly conducting spherical cavities

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    1 Citation (Scopus)

    Abstract

    This investigation concerns the finding of complex eigenvalues of axisymmetric oscillations in acoustical and electromagnetic open spherical cavities. The openings are circular holes or slits. The characteristic equations for the complex eigenvalues are obtained by the Method of Regularization. This approach reduces the problem to finding the complex roots of the determinants of the truncated systems of the algebraic equations. The fast convergence of solution of the truncated system to the exact solution of the infinite system provides any desired accuracy of computations. As examples, calculations of the complex eigenvalues of the sound-hard spherical shell with two symmetric circular holes (spherical "barrel") and of the complex eigenvalues of the TE-modes of the perfectly electrically conducting spherical shell with a single circular aperture are presented.
    Original languageEnglish
    Title of host publicationProceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA)
    Place of PublicationPiscataway, NJ
    PublisherInstitute of Electrical and Electronics Engineers (IEEE)
    Pages321-322
    Number of pages2
    ISBN (Electronic)9781538667620, 9781538667613
    ISBN (Print)9781538667637
    DOIs
    Publication statusPublished - 5 Nov 2018
    Event2018 International Conference on Electromagnetics in Advanced Applications - , Colombia
    Duration: 10 Sep 201814 Sep 2018
    http://www.iceaa-offshore.org/j3/

    Conference

    Conference2018 International Conference on Electromagnetics in Advanced Applications
    Abbreviated titleICEAA
    CountryColombia
    Period10/09/1814/09/18
    Internet address

    Keywords

    • axisymmetric oscillations
    • complex eigenvalues
    • open spherical shells
    • Method of Regularization

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