Computation of Casimir interactions between arbitrary three-dimensional objects with arbitrary material properties
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Reid-2011-Computation of Casimir interactions.pdf
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Author(s)
Reid, M. T. Homer
White, Jacob K.
Johnson, Steven G.
Date Issued
July 2011
Journal
Physical Review A
Publisher
American Physical Society
Citation
Reid, M., Jacob White, and Steven Johnson. “Computation of Casimir Interactions Between Arbitrary Three-dimensional Objects with Arbitrary Material Properties.” Physical Review A 84.1 (2011) ©2011 American Physical Society
Version
Final published version
Abstract
We extend a recently introduced method for computing Casimir forces between arbitrarily shaped metallic objects [ M. T. H. Reid et al. Phys. Rev. Lett. 103 040401 (2009)] to allow treatment of objects with arbitrary material properties, including imperfect conductors, dielectrics, and magnetic materials. Our original method considered electric currents on the surfaces of the interacting objects; the extended method considers both electric and magnetic surface current distributions, and obtains the Casimir energy of a configuration of objects in terms of the interactions of these effective surface currents. Using this new technique, we present the first predictions of Casimir interactions in several experimentally relevant geometries that would be difficult to treat with any existing method. In particular, we investigate Casimir interactions between dielectric nanodisks embedded in a dielectric fluid; we identify the threshold surface-surface separation at which finite-size effects become relevant, and we map the rotational energy landscape of bound nanoparticle diclusters.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
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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/PhysRevA.84.010503
