Electromagnetic Casimir Energies of Semi-Infinite Planes

Abstract

Using recently developed techniques based on scattering theory, we find the electromagnetic Casimir energy for geometries involving semi-infinite planes, a case that is of particular interest in the design of microelectromechanical devices. We obtain both approximate analytic formulae and exact results requiring only modest numerical computation. Using these results, we analyze the effects of edges and orientation on the Casimir energy. We also demonstrate the accuracy, simplicity, and utility of our approximation scheme, which is based on a multiple reflection expansion.

6 pages, 4 figures, uses RevTeX4

References in corpus (7)

• Casimir forces between arbitrary compact objects
• Worldline algorithms for Casimir configurations
• Casimir Forces between Compact Objects: I. The Scalar Case
• Casimir edge effects
• Casimir force between sharp-shaped conductors
• Interplay between geometry and temperature for inclined Casimir plates
• On the Casimir interaction between holes

Cited by in corpus (2)

• 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