Physics – Quantum Physics
Scientific paper
2007-09-05
Physical Review A, Vol. 76, No. 6, 063816 (2007)
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevA.76.063816
Using the ray-optics approximation, we analyze the Casimir force in a two dimensional domain formed by two metallic blocks adjacent to parallel metallic sidewalls, which are separated from the blocks by a finite distance h. For h > 0, the ray-optics approach is not exact because diffraction effects are neglected. Nevertheless, we show that ray optics is able to qualitatively reproduce a surprising effect recently identified in an exact numerical calculation: the force between the blocks varies non-monotonically with h. In this sense, the ray-optics approach captures an essential part of the physics of multi-body interactions in this system, unlike simpler pairwise-interaction approximations such as PFA. Furthermore, by comparison to the exact numerical results, we are able to quantify the impact of diffraction on Casimir forces in this geometry.
Jaffe Robert L.
Johnson Steven G.
Rodriguez Alejandro W.
Zaheer Saad
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