Casimir forces in the time domain: I. Theory
Author(s)Joannopoulos, John D.; McCauley, Alexander Patrick; Johnson, Steven G.; Rodriguez, Alejandro W.
Casimir forces in the time domain: Theory
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Physical Review A
American Physical Society
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.
Author's final manuscript