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Electrodynamic Casimir effect in a medium-filled wedge. II

Simen Ådnøy Ellingsen* and Iver Brevik†

Kimball A. Milton‡

  • Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

  • Oklahoma Center for High Energy Physics and H. L. Dodge Department of Physics and Astronomy,The University of Oklahoma, Norman, Oklahoma 73019, USA

  • *simen.a.ellingsen@ntnu.no
  • †iver.h.brevik@ntnu.no
  • ‡milton@nhn.ou.edu
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Phys. Rev. E 80, 021125 – Published 27 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.021125

Abstract

We consider the Casimir energy in a geometry of an infinite magnetodielectric wedge closed by a circularly cylindrical, perfectly reflecting 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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Phys. Rev. E 80, 021125– Published 27 August, 2009
  • Received 13 May 2009

© 2009 American Physical Society

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