Lateral projection as a possible explanation of the nontrivial boundary dependence of the Casimir force

Abstract

We find the lateral projection of the Casimir force for a configuration of a sphere above a corrugated plate. This force tends to change the sphere position in the direction of a nearest corrugation maximum. The probability distribution describing different positions of a sphere above a corrugated plate is suggested which is fitted well with experimental data demonstrating the nontrivial boundary dependence of the Casimir force.

5 pages, 1 figure

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Cited by in corpus (9)

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• Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
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• Non perturbative approach to Casimir interactions in periodic geometries
• Temperature dependence of the Casimir force between real metals: problems and approach to their resolution
• Casimir Forces: An Exact Approach for Periodically Deformed Objects
• Surface impedance and the Casimir force
• Finite-Element Simulation of Casimir Forces in Arbitrary Geometries