• DocumentCode
    1274289
  • Title

    Counterexamples to the currently accepted explanation for spurious modes and necessary and sufficient conditions to avoid them

  • Author

    Fernandes, Paolo ; Raffetto, Mirco

  • Author_Institution
    Ist. per la Matematica Applicata, Consiglio Nazionale delle Ricerche, Genova, Italy
  • Volume
    38
  • Issue
    2
  • fYear
    2002
  • fDate
    3/1/2002 12:00:00 AM
  • Firstpage
    653
  • Lastpage
    656
  • Abstract
    Recently, a new theory concerning the spurious free approximation of electromagnetic eigenproblems has appeared, which is in contrast with the one currently accepted in the electromagnetic community. To stress the need to adopt the new theory, we show that in two simple cases, spurious modes appear, even though the conditions on which the old and accepted theory is based are satisfied. On the contrary, none of these cases conflicts with the new theory. A new and more subdolous behavior of spurious modes is also pointed out
  • Keywords
    cavity resonators; eigenvalues and eigenfunctions; finite element analysis; waveguide theory; cavity resonator; electromagnetic eigenproblem; finite element model; spurious free approximation; spurious modes; waveguide; Conductors; Electromagnetic waveguides; Finite element methods; Iron; Lagrangian functions; Mesh generation; Resonance; Spectral analysis; Stress; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.996170
  • Filename
    996170