Electromagnetic Casimir Forces in Elliptic Cylinder Geometries

Abstract

The scattering theory approach makes it possible to carry out exact calculations of Casimir energies in any geometry for which the scattering T-matrix and a partial wave expansion of the free Green's function are available. We implement this program for the case of a perfectly conducting elliptic cylinder, thereby completing the set of geometries where electromagnetic scattering is separable. Particular emphasis is placed on the case of zero radius, where the elliptic cylinder reduces to a strip.

7 pages, 3 .eps figures

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Cited by in corpus (6)

• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Edge Corrections to Electromagnetic Casimir Energies From General-Purpose Mathieu Function Routines
• Something Can Come of Nothing: Surface Approaches to Quantum Fluctuations and the Casimir Force
• Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
• Casimir interaction between spherical and planar plasma sheets
• Exact Electromagnetic Casimir Energy of a Disk Opposite a Plane