Phys. Rev. A 80, 012115 (2009) [11 pages]Casimir forces in the time domain: TheoryReceived 1 April 2009; published 27 July 2009 We present a method to compute Casimir forces in arbitrary geometries and for arbitrary materials based on the finite-difference time-domain (FDTD) scheme. The method involves the time evolution of electric and magnetic fields in response to a set of current sources, in a modified medium with frequency-independent conductivity. The advantage of this approach is that it allows one to exploit existing FDTD software, without modification, to compute Casimir forces. In this paper, we focus on the derivation, implementation choices, and essential properties of the time-domain algorithm, both considered analytically and illustrated in the simplest parallel-plate geometry. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.012115
DOI:
10.1103/PhysRevA.80.012115
PACS:
12.20.−m, 02.70.−c, 42.50.Ct, 42.50.Lc
See AlsoSee Also: Alexander P. McCauley, Alejandro W. Rodriguez, John D. Joannopoulos, and Steven G. Johnson, Casimir forces in the time domain: Applications, Phys. Rev. A 81, 012119 (2010). |
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