• DocumentCode
    847118
  • Title

    Closed-form expressions for a number of Fourier-Bessel series encountered in the GSD method (waveguide analysis)

  • Author

    Jöstingmeier, A. ; Rieckmann, C. ; Omar, A.S.

  • Author_Institution
    Inst. fuer Hochfrequenztech. Tech. Univ., Braunschweig, Germany
  • Volume
    2
  • Issue
    10
  • fYear
    1992
  • Firstpage
    391
  • Lastpage
    393
  • Abstract
    In the application of the generalized spectral-domain (GSD) method to the analysis of waveguides, infinite sums over eigenmodes have to be evaluated. The efficiency of the GSD method is considerably enhanced if these sums can be replaced by closed-form expressions. Up to now, appropriate identities are known for circular and rectangular waveguides only. Expressions associated with sector waveguides are considered.<>
  • Keywords
    Bessel functions; series (mathematics); waveguide theory; Fourier-Bessel series; GSD method; TE modes; TM modes; closed-form expressions; eigenmodes; generalized spectral-domain; gyrotron resonators; overmoded cavity; sector waveguides; waveguides; Closed-form solution; Electromagnetic fields; Electromagnetic waveguides; Electron beams; Equations; Gyrotrons; Magnetic fields; Power generation; Rectangular waveguides; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    Microwave and Guided Wave Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1051-8207
  • Type

    jour

  • DOI
    10.1109/75.160117
  • Filename
    160117