Probing the strong boundary shape dependence of the Casimir force.
We study the geometry dependence of the Casimir energy for deformed metal plates by a path integral quantization of the electromagnetic field. For the first time, we give a complete analytical result for the deformation induced change in Casimir energy delta E in an experimentally testable, nontrivial geometry, consisting of a flat and a corrugated plate. Our results show an interesting crossover for delta E as a function of the ratio of the mean plate distance H, to the corrugation length lambda: For lambda<<H we find a slower decay approximately H(-4), compared to the H(-5) behavior predicted by the commonly used pairwise summation of van der Waals forces, which is valid only for lambda>>H.
Emig
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T
Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Hanke
A
A
Golestanian
R
R
Kardar
M
M