Casimir force at a knife's edge
Author(s)
Graham, Noah; Shpunt, Alexander Anatoly; Emig, Thorsten; Rahi, Sahand Jamal; Jaffe, Robert L.; Kardar, Mehran; ... Show more Show less
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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.
Date issued
2010-03Department
Massachusetts Institute of Technology. Department of PhysicsJournal
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
ISSN
1550-7998
1550-2368