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Paper   IPM / Physic / 12127
School of Physics
Title:   Finite - Temperature Casimir Force between Perfectly Metallic Corrugated Surfaces
Author(s):
 1 M. Miri 2 J. Sarabadani
Status:   Published
Journal: Phys. Rev. A
Vol.:  84
Year:  2011
Pages:   032503
Supported by:  IPM
Abstract:
We study the Casimir force between two corrugated plates due to thermal fluctuations of a scalar field. For arbitrary corrugations and temperature T, we provide an analytical expression for the Casimir force, which is exact to second order in the corrugation amplitude. We study the specific case of two sinusoidally corrugated plates with corrugation wavelength λ, lateral displacement b, and mean separation H. We find that the lateral Casimir force is Fl(T,H)sin(2\Pib/λ). In other words, at all temperatures, the lateral force is a sinusoidal function of the lateral shift. In the limit λ >> H, Fl(T→∞,HkBTH−4λ−1. In the opposite limit λ\llH, Fl(T→∞,HkBTH−1/2λ−9/2e−2ΠH/λ.