• DocumentCode
    1280781
  • Title

    Reduction of surface integrals to contour integrals

  • Author

    Gordon, William B. ; Bilow, Henry J.

  • Author_Institution
    SFA, Inc, Rockville, MD, USA
  • Volume
    50
  • Issue
    3
  • fYear
    2002
  • fDate
    3/1/2002 12:00:00 AM
  • Firstpage
    308
  • Lastpage
    311
  • Abstract
    The closed-form reduction of surface integrals to contour integrals has potential applications to the numerical solution of scattering problems. The standard mathematical technique for the reduction of a general surface integral requires the solution of a partial differential equation of the Poisson type. In this paper, we show how the reduction can be accomplished by calculating an indefinite integral of type ∫ f (t) dt, where f = f (t) is a known function in a single variable t
  • Keywords
    Poisson equation; electromagnetic wave scattering; integral equations; partial differential equations; EM scattering problems solution; Poisson type partial differential equation; closed-form reduction; computational efficiency; contour integrals; general surface integral; indefinite integral; moment method; numerical solution; surface scattering integrals; vector decomposition; Closed-form solution; Integral equations; Laboratories; Mathematics; Moment methods; Numerical analysis; Optical scattering; Partial differential equations; Physical optics; Radar scattering;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/8.999621
  • Filename
    999621