• DocumentCode
    993317
  • Title

    On cylindrical wave functions in media with power law variation in permittivity

  • Author

    Gallawa, R.

  • Author_Institution
    Institute for Telecommunication Sciences, ESSA Res Lab., Boulder, CO, USA
  • Volume
    18
  • Issue
    6
  • fYear
    1970
  • fDate
    11/1/1970 12:00:00 AM
  • Firstpage
    838
  • Lastpage
    840
  • Abstract
    When the permittivity of a dielectric medium has a general power-law dependence \\epsilon(\\rho) = \\epsilon(\\rho0)(\\rho/\\rho0)^{P} in circularly cylindrical coordinates, the solution takes on a different form, depending on whether or not p = -2 . This communication is addressed to the problem of showing that the two forms are, in fact, equivalent as p \\rightarrow -2 . The equivalence is made evident through proper choice of the multiplying constant for the case p \\neq -2 .
  • Keywords
    Electromagnetic propagation in nonhomogeneous media; Antennas and propagation; Differential equations; Electromagnetic propagation; Electromagnetic scattering; Fading; Permittivity; Reflection; Reflector antennas; Refractive index; Wave functions;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-926X
  • Type

    jour

  • DOI
    10.1109/TAP.1970.1139783
  • Filename
    1139783