Multiple scattering expansion for dielectric media: Casimir effect

Abstract

Recent measurements of Casimir forces have provided evidence of an intricate modification of quantum fluctuations of the electromagnetic field in complex geometries. Here we introduce a multiple scattering description for Casimir interactions between bodies of arbitrary shape and material composition, admitting an expansion as a sequence of inter- and intra-body wave scatterings. Interactions in complex geometries can be computed within the current experimental resolution from typically a few wave scatterings, notably without any a priori knowledge of the scattering amplitudes of the bodies. Some first applications demonstrate the power of the approach.

6 pages, 4 figures

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• Electromagnetic Casimir-Polder Interaction for a Conducting Cone
• Casimir force inadequacy in explaining a strong attractive force in a micrometer-sized narrow-gap re-entrant cavity
• Complex orientation dependence of Casimir-Polder interaction induced by curvature and optical properties of the surface and the surrounding medium