Mode expansions in the quantum electrodynamics of photonic media with disorder

Martijn Wubs; N. Asger Mortensen

doi:10.1016/j.photonics.2011.06.008

Mode expansions in the quantum electrodynamics of photonic media with disorder

Martijn Wubs, N. Asger Mortensen

Technical University of Denmark

Research output: Contribution to journal › Conference article › Research › peer-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 language	English
Journal	Photonics and Nanostructures - Fundamentals and Applications
Volume	10
Issue number	3
Pages (from-to)	296–303
ISSN	1569-4410
DOIs	https://doi.org/10.1016/j.photonics.2011.06.008
Publication status	Published - 2012
Externally published	Yes
Event	9th International Conference on Photonic and Electromagnetic Crystal Structures, PECS IX - Granada, Spain Duration: 26. Sept 2010 → 30. Sept 2010 http://www.pecsconference.org/PECSIX/

Conference

Conference	9th International Conference on Photonic and Electromagnetic Crystal Structures, PECS IX
Country/Territory	Spain
City	Granada
Period	26/09/2010 → 30/09/2010
Internet address	http://www.pecsconference.org/PECSIX/

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title = "Mode expansions in the quantum electrodynamics of photonic media with disorder",

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.",

author = "Martijn Wubs and Mortensen, {N. Asger}",

year = "2012",

doi = "10.1016/j.photonics.2011.06.008",

language = "English",

volume = "10",

pages = "296–303",

journal = "Photonics and Nanostructures - Fundamentals and Applications",

issn = "1569-4410",

publisher = "Elsevier",

number = "3",

note = "9th International Conference on Photonic and Electromagnetic Crystal Structures, PECS IX ; Conference date: 26-09-2010 Through 30-09-2010",

url = "http://www.pecsconference.org/PECSIX/",

}

TY - GEN

T1 - Mode expansions in the quantum electrodynamics of photonic media with disorder

AU - Wubs, Martijn

AU - Mortensen, N. Asger

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1016/j.photonics.2011.06.008

DO - 10.1016/j.photonics.2011.06.008

M3 - Conference article

SN - 1569-4410

VL - 10

SP - 296

EP - 303

JO - Photonics and Nanostructures - Fundamentals and Applications

JF - Photonics and Nanostructures - Fundamentals and Applications

IS - 3

T2 - 9th International Conference on Photonic and Electromagnetic Crystal Structures, PECS IX

Y2 - 26 September 2010 through 30 September 2010

ER -

Mode expansions in the quantum electrodynamics of photonic media with disorder

Abstract

Conference

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