Casimir force at a knife's edge
Name
Graham-2010-Casimir force at a k.pdf
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Author(s)
Graham, Noah
Shpunt, Alexander Anatoly
Emig, Thorsten
Rahi, Sahand Jamal
Jaffe, Robert L.
Kardar, Mehran
Date Issued
March 2010
Journal
Physical Review D
Publisher
American Physical Society
Citation
Graham, Noah et al. “Casimir force at a knife's edge.” Physical Review D 81.6 (2010): 061701. © 2010 The American Physical Society
Version
Final published version
Abstract
The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is another case where such a calculation is possible. We compute the interaction energy of a parabolic cylinder and an infinite plate (both perfect mirrors), as a function of their separation and inclination, H and θ, and the cylinder’s parabolic radius R. As H/R→0, the proximity force approximation becomes exact. The opposite limit of R/H→0 corresponds to a semi-infinite plate, where the effects of edge and inclination can be probed.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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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.81.061701
