Measurements of the Casimir Force in Configurations with Corrugated Boundaries
Configurations with corrugated boundaries present opportunities for the observation of a new phenomenon, the lateral Casimir force. This chapter considers the results of three experiments performed to date, where the Casimir force due to corrugated boundaries has been measured. In the first experiment, the normal Casimir force between a sinusoidally corrugated plate and a smooth sphere was measured. The second experiment demonstrated for the first time the phenomenon of the lateral Casimir force in the sphere-plate configuration, where both bodies were covered with uniaxial sinusoidal corrugations. In the third experiment, the normal Casimir force between a plate with rectangular corrugations and a smooth sphere was measured. The corresponding theoretical approaches are also considered, and the possibility to control the lateral Casimir force by use of uniaxial corrugations of arbitrary shape is discussed.
Keywords: Casimir force, piezoelectric tube, optical interferometry, proximity force approximation, pairwise summation
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