• DocumentCode
    411335
  • Title

    General solution to dispersive wave equation and its application to propagation

  • Author

    Gray, John E. ; Addison, Stephen R.

  • Author_Institution
    Dept. of Syst. Res. & Technol., Naval Surface Warfare Center, Dahlgren, VA, USA
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    497
  • Lastpage
    501
  • Abstract
    The treatment of propagation in a linear dispersive medium is a problem that is outlined in many electromagnetic texts which consider the continuous time case. These texts don´t deal with initial value problems, but instead refer to Stratton for a complete treatment of the problem. Stratton uses both the Fourier transform and the Laplace transform to solve the initial value problems. The usage of both methods can cause both mathematical and conceptual problems.
  • Keywords
    Fourier transforms; Laplace transforms; dispersion (wave); electromagnetic wave propagation; initial value problems; Fourier transform; Laplace transform; dispersive wave equation; electromagnetic wave propagation; initial value problems; linear dispersive medium; Boundary conditions; Dispersion; Fourier transforms; Integral equations; Laplace equations; Linear systems; Partial differential equations; Space technology; State-space methods; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory, 2004. Proceedings of the Thirty-Sixth Southeastern Symposium on
  • ISSN
    0094-2898
  • Print_ISBN
    0-7803-8281-1
  • Type

    conf

  • DOI
    10.1109/SSST.2004.1295707
  • Filename
    1295707