Casimir forces in the time domain: I. Theory
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Johnson_Casimir forces.pdf
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Author(s)
Joannopoulos, John D.
McCauley, Alexander Patrick
Johnson, Steven G.
Rodriguez, Alejandro W.
Alternative Title
Casimir forces in the time domain: Theory
Date Issued
July 2009
Journal
Physical Review A
Publisher
American Physical Society
Citation
Rodriguez, Alejandro W., Alexander P. McCauley, John D. Joannopoulos, and Steven G. Johnson. “Casimir forces in the time domain: Theory.” Physical Review A (Atomic, Molecular, and Optical Physics) 80.1 (2009): 012115-11.
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Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.80.012115
