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

Goto, Shinichiro and Tucker, Robin and Walton, Timothy (2013) On the computation of Casimir stresses in open media and Lifshitz theory. Journal of Physics A: Mathematical and Theoretical, 46 (40). ISSN 1751-8113

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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.

Item Type: Journal Article
Journal or Publication Title: Journal of Physics A: Mathematical and Theoretical
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2613
Departments: Faculty of Science and Technology > Physics
ID Code: 66745
Deposited By: ep_importer_pure
Deposited On: 26 Sep 2013 07:51
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 08:38
URI: https://eprints.lancs.ac.uk/id/eprint/66745

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