Noah Graham 1, Alexander Shpunt 2, Thorsten Emig 3, Sahand Jamal Rahi 2, 4, Robert L. Jaffe 2, Mehran Kardar 2
Physical Review D 83 (2011) 125007
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.
- 1. Middlebury College,
Middlebury Colleg - 2. Department of Physics,
Massachusetts Institute of Technology - 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI – Paris Sud - 4. Center for Studies in Physics and Biology,
The Rockefeller University