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On the computation of Casimir stresses in open media and Lifshitz theory

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On the computation of Casimir stresses in open media and Lifshitz theory. / Goto, Shinichiro; Tucker, Robin; Walton, Timothy.
In: Journal of Physics A: Mathematical and Theoretical, Vol. 46, No. 40, 405301, 09.2013.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Goto S, Tucker R, Walton T. On the computation of Casimir stresses in open media and Lifshitz theory. Journal of Physics A: Mathematical and Theoretical. 2013 Sept;46(40):405301. doi: 10.1088/1751-8113/46/40/405301

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Goto, Shinichiro ; Tucker, Robin ; Walton, Timothy. / On the computation of Casimir stresses in open media and Lifshitz theory. In: Journal of Physics A: Mathematical and Theoretical. 2013 ; Vol. 46, No. 40.

Bibtex

@article{97a7662280e74159afd949bee996c03a,
title = "On the computation of Casimir stresses in open media and Lifshitz theory",
abstract = "A classification of the electromagnetic modes on open and closed spatial domains containing media with piecewise homogeneous permittivities is used to facilitate the derivation of quantum induced Casimir stresses in dielectrics. By directly exploiting the complex analytic properties of solutions of the macroscopic Maxwell equations for open systems it is shown how regular expressions for such stresses can be expressed in terms of double integrals involving either real or pure imaginary frequencies associated with harmonic modes in conformity with the Lifshitz theory for separated planar dielectric half-spaces. The derivation is self-contained without recourse to the Krein formula for a density of states or mode regularization and offers a more direct approach to other open systems.",
author = "Shinichiro Goto and Robin Tucker and Timothy Walton",
year = "2013",
month = sep,
doi = "10.1088/1751-8113/46/40/405301",
language = "English",
volume = "46",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "40",

}

RIS

TY - JOUR

T1 - On the computation of Casimir stresses in open media and Lifshitz theory

AU - Goto, Shinichiro

AU - Tucker, Robin

AU - Walton, Timothy

PY - 2013/9

Y1 - 2013/9

N2 - A classification of the electromagnetic modes on open and closed spatial domains containing media with piecewise homogeneous permittivities is used to facilitate the derivation of quantum induced Casimir stresses in dielectrics. By directly exploiting the complex analytic properties of solutions of the macroscopic Maxwell equations for open systems it is shown how regular expressions for such stresses can be expressed in terms of double integrals involving either real or pure imaginary frequencies associated with harmonic modes in conformity with the Lifshitz theory for separated planar dielectric half-spaces. The derivation is self-contained without recourse to the Krein formula for a density of states or mode regularization and offers a more direct approach to other open systems.

AB - A classification of the electromagnetic modes on open and closed spatial domains containing media with piecewise homogeneous permittivities is used to facilitate the derivation of quantum induced Casimir stresses in dielectrics. By directly exploiting the complex analytic properties of solutions of the macroscopic Maxwell equations for open systems it is shown how regular expressions for such stresses can be expressed in terms of double integrals involving either real or pure imaginary frequencies associated with harmonic modes in conformity with the Lifshitz theory for separated planar dielectric half-spaces. The derivation is self-contained without recourse to the Krein formula for a density of states or mode regularization and offers a more direct approach to other open systems.

U2 - 10.1088/1751-8113/46/40/405301

DO - 10.1088/1751-8113/46/40/405301

M3 - Journal article

VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 40

M1 - 405301

ER -