On electromagnetics of an isotropic chiral medium moving at constant velocity

Tom G. Mackay, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A medium which is an isotropic chiral medium from the perspective of a co-moving observer is a Faraday chiral medium (FCM) from the perspective of a non-co-moving observer. The Tellegen constitutive relations for this FCM are established. By an extension of the Beltrami field concept, these constitutive relations are exploited to show that plane wave propagation is characterized by four generally independent wavenumbers. This FCM can support negative phase velocity at certain translational velocities and with certain wavevectors, even though the corresponding isotropic chiral medium does not. The constitutive relations and Beltrami-like fields are also used to develop a convenient spectral representation of the dyadic Green functions for the FCM.

Original languageEnglish (US)
Pages (from-to)397-418
Number of pages22
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume463
Issue number2078
DOIs
StatePublished - Feb 8 2007

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Chiral Media
Phase velocity
Green's function
Wave propagation
electromagnetism
Constitutive Relations
Observer
Spectral Representation
Phase Velocity
dyadics
Plane Wave
Wave Propagation
phase velocity
wave propagation
plane waves
Green's functions

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

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AU - Lakhtakia, Akhlesh

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AB - A medium which is an isotropic chiral medium from the perspective of a co-moving observer is a Faraday chiral medium (FCM) from the perspective of a non-co-moving observer. The Tellegen constitutive relations for this FCM are established. By an extension of the Beltrami field concept, these constitutive relations are exploited to show that plane wave propagation is characterized by four generally independent wavenumbers. This FCM can support negative phase velocity at certain translational velocities and with certain wavevectors, even though the corresponding isotropic chiral medium does not. The constitutive relations and Beltrami-like fields are also used to develop a convenient spectral representation of the dyadic Green functions for the FCM.

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