• DocumentCode
    1435664
  • Title

    Spherical wave operators and the translation formulas

  • Author

    Wittmann, Ronald C.

  • Author_Institution
    NBS, Boulder, CO, USA
  • Volume
    36
  • Issue
    8
  • fYear
    1988
  • fDate
    8/1/1988 12:00:00 AM
  • Firstpage
    1078
  • Lastpage
    1087
  • Abstract
    Translational formulas for both scalar and vector spherical wave solutions of the Helmholtz equation are developed in a straightforward manner using differential operator representations for the modal functions and well-known expressions for the scalar and dyadic free-space Green´s functions. The expansion coefficients are given in compact integral or differential operator forms useful for analytic investigation
  • Keywords
    Green´s function methods; electromagnetic waves; EM waves; Helmholtz equation; differential operator representations; dyadic free-space Green´s functions; expansion coefficients; integral operator form; modal functions; scalar free-space Green´s functions; scalar waves; spherical wave solutions; translation formulas; vector waves; Differential equations; Electromagnetic fields; Electromagnetic scattering; Integral equations; NIST; Probes; Receiving antennas; Testing; Vectors; Wave functions;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/8.7220
  • Filename
    7220