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.

arXiv comment6 pages, 4 figures, uses RevTeX4

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Cited by in corpus (6)

• 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
• Electromagnetic Casimir Forces in Elliptic Cylinder Geometries
• Diffractive Effects and General Boundary Conditions in Casimir Energy
• Thermal diffractive corrections to Casimir energies
• Casimir effect: Edges and diffraction