Efficient evaluation of Casimir force in arbitrary three-dimensional geometries by integral equation methods

Jie L. Xiong; Mei Song Tong; Phillip Atkins; Weng Cho Chew

doi:10.1016/j.physleta.2010.04.036

Efficient evaluation of Casimir force in arbitrary three-dimensional geometries by integral equation methods

Jie L. Xiong, Mei Song Tong, Phillip Atkins, Weng Cho Chew

Research output: Contribution to journal › Article › peer-review

Abstract

In this Letter, we generalized the surface integral equation method for the evaluation of Casimir force in arbitrary three-dimensional geometries. Similar to the two-dimensional case, the evaluation of the mean Maxwell stress tensor is cast into solving a series of three-dimensional scattering problems. The formulation and solution of the three-dimensional scattering problems are well-studied in classical computational electromagnetics. This Letter demonstrates that this quantum electrodynamic phenomenon can be studied using the knowledge and techniques of classical electrodynamics.

Original language	English (US)
Pages (from-to)	2517-2520
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	25
DOIs	https://doi.org/10.1016/j.physleta.2010.04.036
State	Published - May 31 2010
Externally published	Yes

Keywords

Casimir force
Computational electromagnetics
Integral equation method
Maxwell-stress tensor

ASJC Scopus subject areas

General Physics and Astronomy

Online availability

10.1016/j.physleta.2010.04.036

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abstract = "In this Letter, we generalized the surface integral equation method for the evaluation of Casimir force in arbitrary three-dimensional geometries. Similar to the two-dimensional case, the evaluation of the mean Maxwell stress tensor is cast into solving a series of three-dimensional scattering problems. The formulation and solution of the three-dimensional scattering problems are well-studied in classical computational electromagnetics. This Letter demonstrates that this quantum electrodynamic phenomenon can be studied using the knowledge and techniques of classical electrodynamics.",

keywords = "Casimir force, Computational electromagnetics, Integral equation method, Maxwell-stress tensor",

author = "Xiong, {Jie L.} and Tong, {Mei Song} and Phillip Atkins and Chew, {Weng Cho}",

note = "Funding Information: This work was supported in part by the HKU Research Services . Chew gratefully acknowledges support from the YT Lo Endowed Professor Fund and Grant AFOSR F9550-04-1-0326 .",

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AU - Xiong, Jie L.

AU - Tong, Mei Song

AU - Atkins, Phillip

AU - Chew, Weng Cho

N1 - Funding Information: This work was supported in part by the HKU Research Services . Chew gratefully acknowledges support from the YT Lo Endowed Professor Fund and Grant AFOSR F9550-04-1-0326 .

PY - 2010/5/31

Y1 - 2010/5/31

N2 - In this Letter, we generalized the surface integral equation method for the evaluation of Casimir force in arbitrary three-dimensional geometries. Similar to the two-dimensional case, the evaluation of the mean Maxwell stress tensor is cast into solving a series of three-dimensional scattering problems. The formulation and solution of the three-dimensional scattering problems are well-studied in classical computational electromagnetics. This Letter demonstrates that this quantum electrodynamic phenomenon can be studied using the knowledge and techniques of classical electrodynamics.

AB - In this Letter, we generalized the surface integral equation method for the evaluation of Casimir force in arbitrary three-dimensional geometries. Similar to the two-dimensional case, the evaluation of the mean Maxwell stress tensor is cast into solving a series of three-dimensional scattering problems. The formulation and solution of the three-dimensional scattering problems are well-studied in classical computational electromagnetics. This Letter demonstrates that this quantum electrodynamic phenomenon can be studied using the knowledge and techniques of classical electrodynamics.

KW - Casimir force

KW - Computational electromagnetics

KW - Integral equation method

KW - Maxwell-stress tensor

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Efficient evaluation of Casimir force in arbitrary three-dimensional geometries by integral equation methods

Abstract

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