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arXiv · 1103.5942

Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries

Noah Graham·Alexander Shpunt·Thorsten Emig·Sahand Jamal Rahi·Robert L. Jaffe·Mehran Kardar
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Abstract

An exact calculation of electromagnetic scattering from a perfectly conducting parabolic cylinder is employed to compute Casimir forces in several configurations. These include interactions between a parabolic cylinder and a plane, two parabolic cylinders, and a parabolic cylinder and an ordinary cylinder. To elucidate the effect of boundaries, special attention is focused on the "knife-edge" limit in which the parabolic cylinder becomes a half-plane. Geometrical effects are illustrated by considering arbitrary rotations of a parabolic cylinder around its focal axis, and arbitrary translations perpendicular to this axis. A quite different geometrical arrangement is explored for the case of an ordinary cylinder placed in the interior of a parabolic cylinder. All of these results extend simply to nonzero temperatures.

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Noah Graham, Alexander Shpunt, Thorsten Emig, Sahand Jamal Rahi, Robert L. Jaffe, Mehran Kardar. 2011-03-30. Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries. https://doi.org/10.1103/physrevd.83.125007

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