Mode expansions in the quantum electrodynamics of photonic media with disorder

Martijn Wubs, N. Asger Mortensen

Research output: Contribution to journalConference articleResearchpeer-review

Abstract

We address two issues in the quantum electrodynamical description of photonic media with some disorder, neglecting material dispersion. When choosing a gauge in which the static potential vanishes, the normal modes of the medium with disorder satisfy another transversality condition than the modes of the ideal medium. Our first result is an integral equation for optical modes such that all perturbation-theory solutions automatically satisfy the desired transversality condition. Secondly, when expanding the vector potential for the medium with disorder in terms of the normal modes of the ideal structure, we find the gauge transformation that makes the static potential zero, thereby generalizing work by Glauber and Lewenstein [Phys. Rev. A 43, 467 (1991)]. Our results are relevant for the quantum optics of disordered photonic crystals.
Original languageEnglish
JournalPhotonics and Nanostructures - Fundamentals and Applications
Volume10
Issue number3
Pages (from-to)296–303
ISSN1569-4410
DOIs
Publication statusPublished - 2012
Event9th International Conference on Photonic and Electromagnetic Crystal Structures, PECS IX - Granada, Spain
Duration: 26 Sep 201030 Sep 2010
http://www.pecsconference.org/PECSIX/

Conference

Conference9th International Conference on Photonic and Electromagnetic Crystal Structures, PECS IX
CountrySpain
CityGranada
Period26/09/201030/09/2010
Internet address

Keywords

  • Gauge transformations
  • Mode expansions
  • Field quantization
  • Photonic crystals
  • Disorder

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