Abstract
We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate sphere, where it is known at large separations. The force has an unexpectedly weak decay at large plate-cylinder separations ( and are the cylinder length and radius), due to transverse magnetic modes. Path integral quantization with a partial wave expansion additionally gives a qualitative difference for the density of states of electric and magnetic modes, and corrections at finite temperatures.
- Received 3 January 2006
DOI:https://doi.org/10.1103/PhysRevLett.96.080403
©2006 American Physical Society