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Phys. Rev. Lett. 103, 040401 (2009) [4 pages]

Efficient Computation of Casimir Interactions between Arbitrary 3D Objects

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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

Received 4 April 2009; revised 10 June 2009; published 20 July 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.040401
DOI:
10.1103/PhysRevLett.103.040401
PACS:
03.70.+k, 03.65.Db, 12.20.−m, 42.50.Lc

*homereid@mit.edu

URL: http://www.mit.edu/~homereid