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Paper   IPM / P / 6844
School of Physics
  Title:   Probing the Strong Boundary Shape Dependece of the Casimir Force
1.  T. Eming
2.  A. Hanke
3.  R. Golestanian
4.  M. Kardar
  Status:   Published
  Journal: Phys. Rev. Lett.
  No.:  51
  Vol.:  87
  Year:  2001
  Pages:   260402-1-4
  Supported by:  IPM
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 δε in an experimentally testable, nontrivial geometry, consisting of a flat and a corrugated plate. Our results show an interesting crossover for δε as a function of the ratio of the mean plate distance H, to the corrugation length λ: For λ << H we find a slower decay  ∼ H−4, compared to the H−5 behavior predicted by the commonly used pairwise summation of van der Waals forces, which is valid only forλ >> H.

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