Efficient Computation of Casimir Interactions between Arbitrary 3D Objects

M. T. Homer Reid, Alejandro W. Rodriguez, Jacob White, and Steven G. Johnson
Phys. Rev. Lett. 103, 040401 – Published 20 July 2009

Abstract

We introduce an efficient technique for computing Casimir energies and forces between objects of arbitrarily complex 3D geometries. In contrast to other recently developed methods, our technique easily handles nonspheroidal, nonaxisymmetric objects, and objects with sharp corners. Using our new technique, we obtain the first predictions of Casimir interactions in a number of experimentally relevant geometries, including crossed cylinders and tetrahedral nanoparticles.

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  • Received 4 April 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.040401

©2009 American Physical Society

Authors & Affiliations

M. T. Homer Reid1,2,*,†, Alejandro W. Rodriguez1, Jacob White2,3, and Steven G. Johnson2,4

  • 1Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 3Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 4Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *homereid@mit.edu
  • URL: http://www.mit.edu/~homereid

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Vol. 103, Iss. 4 — 24 July 2009

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