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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 29, Iss. 3 — Mar. 1, 2012
  • pp: 285–294

Two-dimensional relativistic longitudinal Green’s function in the presence of a moving planar dielectric–magnetic discontinuity

Tatiana Danov and Timor Melamed  »View Author Affiliations

JOSA A, Vol. 29, Issue 3, pp. 285-294 (2012)

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The current contribution is concerned with obtaining the relativistic two-dimensional (three-dimensional in relativity jargon) Green’s function of a time-harmonic line current that is embedded in a moving dielectric–magnetic medium with a planar discontinuity. By applying a plane-wave (PW) spectral representation for the relativistic electromagnetic Green’s function of a dielectric–magnetic medium that is moving in a uniform velocity, the exact reflected and transmitted (refracted) fields are obtained in the form of a spectral integral over PWs in the so-called laboratory and comoving frames. We investigate these spectral representations, as well as their asymptotic evaluations, and discuss the associated relativistic wave phenomena of direct reflected/transmitted rays and relativistic head waves (lateral waves).

© 2012 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(080.0080) Geometric optics : Geometric optics
(350.5720) Other areas of optics : Relativity
(290.5825) Scattering : Scattering theory

ToC Category:

Original Manuscript: September 19, 2011
Revised Manuscript: October 23, 2011
Manuscript Accepted: October 26, 2011
Published: February 14, 2012

Tatiana Danov and Timor Melamed, "Two-dimensional relativistic longitudinal Green’s function in the presence of a moving planar dielectric–magnetic discontinuity," J. Opt. Soc. Am. A 29, 285-294 (2012)

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