Satellite Symposium Devoted to 60 Years of the Casimir EffectNo Access

LEADING- AND NEXT-TO-LEADING-ORDER LATERAL CASIMIR FORCE ON CORRUGATED SURFACES

Laboratoire Kastler Brossel, Université Pierre et Marie Curie, ENS, CNRS, Campus Jussieu, University Paris 6, Case 74, F-75252 Paris, Cedex 05, France

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KIMBALL A. MILTON

Oklahoma Center for High Energy Physics and Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA

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PRACHI PARASHAR

Oklahoma Center for High Energy Physics and Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA

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, and

K. V. SHAJESH

Oklahoma Center for High Energy Physics and Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, OK 73019, USA

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https://doi.org/10.1142/S0217751X09045339Cited by:2 (Source: Crossref)

Abstract

We derive explicit analytic expressions for the lateral force for two different configurations with corrugations, parallel plates and concentric cylinders. By making use of the multiple scattering formalism, we calculate the force for a scalar field under the influence of a delta-function potential that has sinusoidal dependence in one direction simulating the corrugations. By making a perturbative expansion in the amplitude of the corrugation we find the leading order for the corrugated concentric cylinders and the next-to-leading order for the corrugated parallel plates.

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PACS: 11.25.Hf