Optical Thomas-Reiche-Kuhn sum rules

Stephen M. Barnett, Rodney Loudon

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The Thomas-Reiche-Kuhn sum rule is a fundamental consequence of the position-momentum commutation relation for an atomic electron and it provides an important constraint on the transition matrix elements for an atom. Analogously, the commutation relations for the electromagnetic field operators in a magnetodielectric medium constrain the properties of the dispersion relations for the medium through four sum rules for the allowed phase and group velocities for polaritons propagating through the medium. These rules apply to all bulk media including the metamaterials designed to provide negative refractive indices. An immediate consequence of this is that it is not possible to construct a medium in which all the polariton modes for a given wavelength lie in the negative-index region.

LanguageEnglish
Article number013601
Number of pages4
JournalPhysical Review Letters
Volume108
Issue number1
DOIs
Publication statusPublished - 6 Jan 2012

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sum rules
commutation
polaritons
phase velocity
group velocity
electromagnetic fields
refractivity
momentum
operators
wavelengths
atoms
electrons

Keywords

  • Thomas-Reiche-Kuhn sum rules
  • optics
  • atomic electrons
  • polaritons

Cite this

Barnett, Stephen M. ; Loudon, Rodney. / Optical Thomas-Reiche-Kuhn sum rules. In: Physical Review Letters. 2012 ; Vol. 108, No. 1.
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Optical Thomas-Reiche-Kuhn sum rules. / Barnett, Stephen M.; Loudon, Rodney.

In: Physical Review Letters, Vol. 108, No. 1, 013601, 06.01.2012.

Research output: Contribution to journalArticle

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