• DocumentCode
    1026175
  • Title

    Fourier transform of a polygonal shape function and its application in electromagnetics

  • Author

    Lee, Shung-wu ; Mittra, Raj

  • Author_Institution
    Dept. of Electrical Eng., Univ. of Illinois, Urbana, IL USA
  • Volume
    31
  • Issue
    1
  • fYear
    1983
  • fDate
    1/1/1983 12:00:00 AM
  • Firstpage
    99
  • Lastpage
    103
  • Abstract
    The shape function s(x, y) of a planar aperture \\Sigma is defined ashaving value one inside \\Sigma and zero outside. The two-dimensional Fourier transform of s(x, y) when \\Sigma is an N -sided polygon is considered, and a closed-form exact solution is presented. Applications of these results are described for 1) the calculation of the secondary pattern of a reflector antenna with a noncircular aperture, and 2) high-frequency transmission through a periodic frequency selective surface.
  • Keywords
    Apertures; Electromagnetic propagation in nonhomogeneous media; Fourier transforms; Periodic structures; Reflector antennas; Aperture antennas; Closed-form solution; Electromagnetics; Fourier transforms; Frequency selective surfaces; Helium; Optical scattering; Reflector antennas; Shape; Transmitting antennas;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/TAP.1983.1142981
  • Filename
    1142981
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1026175