Electromagnetic Casimir forces of parabolic cylinder and knife-edge geometries
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Graham-2011-Electromagnetic Casi.pdf
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Author(s)
Graham, Noah
Shpunt, Alexander Anatoly
Emig, Thorsten
Rahi, Sahand Jamal
Jaffe, Robert L.
Kardar, Mehran
Date Issued
June 2011
Journal
Physical Review D
Publisher
American Physical Society
Citation
Graham, Noah et al. “Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-edge Geometries.” Physical Review D 83.12 (2011) © 2011 American Physical Society
Version
Final published version
Abstract
An exact calculation of electromagnetic scattering from a perfectly conducting parabolic cylinder is employed to compute Casimir forces in several configurations. These include interactions between a parabolic cylinder and a plane, two parabolic cylinders, and a parabolic cylinder and an ordinary cylinder. To elucidate the effect of boundaries, special attention is focused on the “knife-edge” limit in which the parabolic cylinder becomes a half-plane. Geometrical effects are illustrated by considering arbitrary rotations of a parabolic cylinder around its focal axis, and arbitrary translations perpendicular to this axis. A quite different geometrical arrangement is explored for the case of an ordinary cylinder placed in the interior of a parabolic cylinder. All of these results extend simply to nonzero temperatures.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.83.125007
