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Casimir forces in inhomogeneous media: Renormalization and the principle of virtual work

Casimir forces in inhomogeneous media: Renormalization and the principle of virtual work
Casimir forces in inhomogeneous media: Renormalization and the principle of virtual work

We calculate the Casimir forces in two configurations, namely, three parallel dielectric slabs and a dielectric slab between two perfectly conducting plates, where the dielectric materials are dispersive and inhomogeneous in the direction perpendicular to the interfaces. A renormalization scheme is proposed consisting of subtracting the effect of one interface separating two inhomogeneous media. Some examples are worked out to illustrate this scheme. Our method always gives finite results and is consistent with the principle of virtual work; it extends the Dzyaloshinskii-Lifshitz-Pitaeveskii force to inhomogeneous media.

2470-0010
Li, Yang
0fc31bbe-98b1-4955-a63b-10ae4338b8f3
Milton, Kimball A.
32b2e838-92a4-4f2d-a33d-ab54ddaf8e08
Guo, Xin
c1da16ff-f2d9-4500-92c7-aafb401efab8
Kennedy, Gerard
47b61664-2d2d-45fa-a73a-5af7a7c740cd
Fulling, Stephen A.
06e8cefb-c59b-43e8-a88b-c1cd6650441a
Li, Yang
0fc31bbe-98b1-4955-a63b-10ae4338b8f3
Milton, Kimball A.
32b2e838-92a4-4f2d-a33d-ab54ddaf8e08
Guo, Xin
c1da16ff-f2d9-4500-92c7-aafb401efab8
Kennedy, Gerard
47b61664-2d2d-45fa-a73a-5af7a7c740cd
Fulling, Stephen A.
06e8cefb-c59b-43e8-a88b-c1cd6650441a

Li, Yang, Milton, Kimball A., Guo, Xin, Kennedy, Gerard and Fulling, Stephen A. (2019) Casimir forces in inhomogeneous media: Renormalization and the principle of virtual work. Physical Review D, 99 (12), [125004]. (doi:10.1103/PhysRevD.99.125004).

Record type: Article

Abstract

We calculate the Casimir forces in two configurations, namely, three parallel dielectric slabs and a dielectric slab between two perfectly conducting plates, where the dielectric materials are dispersive and inhomogeneous in the direction perpendicular to the interfaces. A renormalization scheme is proposed consisting of subtracting the effect of one interface separating two inhomogeneous media. Some examples are worked out to illustrate this scheme. Our method always gives finite results and is consistent with the principle of virtual work; it extends the Dzyaloshinskii-Lifshitz-Pitaeveskii force to inhomogeneous media.

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Accepted/In Press date: 2 May 2019
e-pub ahead of print date: 11 June 2019
Published date: 11 June 2019

Identifiers

Local EPrints ID: 433109
URI: http://eprints.soton.ac.uk/id/eprint/433109
ISSN: 2470-0010
PURE UUID: 144d53be-1896-454a-89fc-9418e5825f34
ORCID for Gerard Kennedy: ORCID iD orcid.org/0000-0003-4844-6231

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Date deposited: 08 Aug 2019 16:30
Last modified: 16 Mar 2024 03:38

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Contributors

Author: Yang Li
Author: Kimball A. Milton
Author: Xin Guo
Author: Gerard Kennedy ORCID iD
Author: Stephen A. Fulling

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