Casimir effect across a layered medium

Abstract

Using nonstandard recursion relations for Fresnel coefficients involving successive stacks of layers, we extend the Lifshitz formula to configurations with an inhomogeneous, n-layered, medium separating two planar objects. The force on each object is the sum of a Lifshitz like force and a force arising from the inhomogeneity of the medium. The theory correctly reproduces very recently obtained results for the Casimir force/energy in some simple systems of this kind. As a by product, we obtain a formula for the force on an (unspecified) stack of layers between two planar objects which generalizes our previous result for the force on a slab in a planar cavity.

5 pages, 1 figure, presented at QFEXT11

References in corpus (2)

• Casimir forces in multilayer magnetodielectrics with both gain and loss
• Casimir Force on Real Materials - the Slab and Cavity Geometry

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• Casimir energy of $N$ magnetodielectric $\delta$-function plates
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• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception