Photon density of states for deformed surfaces

Details Photon density of states for deformed surfaces Photon density of states for deformed surfaces

2005-11-23

arxiv.org/abs/cond-mat/0511588v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, J Phys A Special Issue QFEXT05

Scientific paper

10.1088/0305-4470/39/21/S22

A new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and a rather general class of boundary conditions is introduced. We derive the boundary induced change of the density of states in terms of the free Green's function from which we obtain both perturbative and non-perturbative results for the Casimir interaction between deformed surfaces. As an example, we compute the lateral electrodynamic Casimir force between two corrugated surfaces over a wide parameter range. Universal behavior, fixed only by the largest wavelength component of the surface shape, is identified at large surface separations. This complements known short distance expansions which are also reproduced.

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