Roughness correction to the Casimir force: Beyond the Proximity Force ApproximationP. A. Maia Neto1, A. Lambrecht2 and S. Reynaud1
1 Instituto de Física, UFRJ - Caixa Postal 68528, 21945-970 Rio de Janeiro RJ, Brazil
2 Laboratoire Kastler Brossel, CNRS, ENS, UPMC case 74, Campus Jussieu, 75252 Paris, France
received 5 October 2004; accepted in final form 11 January 2005
published online 18 February 2005
We calculate the roughness correction to the Casimir effect in the parallel plates geometry, for metallic plates described by the plasma model. The calculation is perturbative in the roughness amplitude, with otherwise arbitrary values for the plasma wavelength, the plate separation and the roughness correlation length. The correction is found to be always larger than the result obtained in the Proximity Force Approximation.
42.50.-p - Quantum optics.
03.70.+k - Theory of quantized fields.
68.35.Ct - Interface structure and roughness.
© EDP Sciences 2005