Transient electromagnetic wave propagation in anisotropic dispersive media

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Abstract

Transient electromagnetic wave propagation in a stratified, anisotropic, dispersive medium is considered. Specifically,
the direct scattering problem is addressed. The dispersive, anisotropic medium is modeled by constitutive
relations (a 3 3 matrix-valued susceptibility operator) containing time convolution integrals. In the
general case, nine different susceptibility kernels characterize the medium. An incident plane wave impinges
obliquely upon a finite slab consisting of a stratified anisotropic medium. The scattered fields are obtained as
time convolutions of the incident field with the scattering kernels. The scattering (reflection and transmission)
kernels are uniquely determined by the slab and are independent of the incident field. The scattering
problem is solved by a wave-splitting technique. Two different methods for determining the scattering kernels
are presented: an embedding and a Green's function approach. Explicit analytic expressions of the wave
front are given for a special class of media. Some numerical examples illustrate the analysis.

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  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering
Original languageEnglish
Pages (from-to)2618-2627
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume10
Issue number12
Publication statusPublished - 1993
Publication categoryResearch
Peer-reviewedYes