Exact results for Casimir forces using Surface Impedance: Nonlocal Media

Abstract

We show that exact results are obtained for the calculation of Casimir forces between arbitrary materials using the concept of surface impedances, obtaining in a trivial way the force in the limit of perfect conductors and also Lifshitz formula in the limit of semi-infinite media. As an example we present a full and rigorous calculation of the Casimir force between two metallic half-spaces described by a hydrodynamic nonlocal dielectric response.

9pages, 2figures

References in corpus (2)

• Measurement of the Casimir force between dissimilar metals
• The Casimir force and the quantum theory of lossy optical cavities

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