On Maxwell's equations in non-stationary media

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4 Citations (Scopus)

Abstract

Maxwell's equations formulated for media with gradually changing conductivity are reduced to Volterra integral equations. Analytical and numerical investigations of the equations are presented for the case of gradual splash-like change in conductivity. Splash-like change in medium parameters can model any discharge phenomena, growing plasma, charge injection, etc. Exact analytical solution for the resolvent is presented and different field behaviours are analysed for the incident field as a plane wave and as an impulse.

Original languageEnglish
Pages (from-to)1781-1788
Number of pages8
JournalPhilosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences
Volume366
Issue number1871
DOIs
Publication statusPublished - 28 May 2008

Keywords

  • transient media
  • analytical solutions
  • propagation in time-varying media
  • gradually changing parameters
  • TIME-VARYING MEDIA
  • ELECTROMAGNETIC-WAVES
  • TRANSIENT-CONDUCTIVITY
  • PROPAGATION
  • SCATTERING

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