Casimir effect across a layered medium

Details Casimir effect across a layered medium Casimir effect across a layered medium

2011-12-07

arxiv.org/abs/1112.1551v1

Physics

Quantum Physics

5 pages, 1 figure, presented at QFEXT11

Scientific paper

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.

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