Spectral analysis of relativistic dyadic green's function of a moving dielectric-magnetic medium

Tatiana Danov, Timor Melamed

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The present contribution is concerned with obtaining plane-wave spectral representations of the relativistic electric and magnetic dyadic Green's functions of an isotropic dielectric-magnetic medium (at the frame-at-rest) that is moving in a uniform velocity. By applying a simple coordinate transformation, scalarization of the EM vectorial problem is obtained in which the EM dyads are evaluated from Helmholtz's isotropic scalar Green's function. The spectral plane-wave representations of the dyadic Green's functions are obtained by applying the spatial 2D Fourier transform to the scalar Green's function. We investigate these spectral representations in the under and over phase-speed regimes, as well as 2D and 3D formulations and discuss the associated wave phenomena.

Original languageEnglish
Article number5872009
Pages (from-to)2973-2979
Number of pages7
JournalIEEE Transactions on Antennas and Propagation
Volume59
Issue number8
DOIs
StatePublished - 1 Aug 2011

Keywords

  • Dyadic Green's function
  • moving medium
  • plane-wave spectrum
  • special relativity

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