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Multiple Scattering Expansion for Dielectric Media: Casimir Effect
Thorsten Emig1, Giuseppe Bimonte2
1Laboratoire de Physique Théorique et Modèles Statistiques, CNRS UMR 8626, Bâtiment 530, Université Paris-Sud/Saclay, 91405 Orsay cedex, France.
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.
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