Electrodynamic Casimir Effect in a Medium-Filled Wedge II

Details Electrodynamic Casimir Effect in a Medium-Filled Wedge II Electrodynamic Casimir Effect in a Medium-Filled Wedge II

2009-05-13

arxiv.org/abs/0905.2088v2

Phys. Rev. E 80, 021125 (2009)

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 6 figures, accepted for publication in Physical Review E. Changes made in this version were made in response to comm

Scientific paper

10.1103/PhysRevE.80.021125

We consider the Casimir energy in a geometry of an infinite magnetodielectric wedge closed by a circularly cylindrical, perfectly conducting arc embedded in another magnetodielectric medium, under the condition that the speed of light be the same in both media. An expression for the Casimir energy corresponding to the arc is obtained and it is found that in the limit where the reflectivity of the wedge boundaries tends to unity the finite part of the Casimir energy of a perfectly conducting wedge-shaped sheet closed by a circular cylinder is regained. The energy of the latter geometry possesses divergences due to the presence of sharp corners. We argue how this is a pathology of the assumption of ideal conductor boundaries, and that no analogous term enters in the present geometry.

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