The Scattering Approach to the Casimir Force

Abstract

We present the scattering approach which is nowadays the best tool for describing the Casimir force in realistic experimental configurations. After reminders on the simple geometries of 1d space and specular scatterers in 3d space, we discuss the case of stationary arbitrarily shaped mirrors in electromagnetic vacuum. We then review specific calculations based on the scattering approach, dealing for example with the forces or torques between nanostructured surfaces and with the force between a plane and a sphere. In these various cases, we account for the material dependence of the forces, and show that the geometry dependence goes beyond the trivial {\it Proximity Force Approximation} often used for discussing experiments.

Proceedings of the QFEXT'09 conference (Oklahoma, 2009)

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Cited by in corpus (6)

• Casimir-Polder interaction between an atom and a dielectric grating
• The quest for Casimir repulsion between Chern-Simons surfaces
• The Casimir effect for stack of graphenes
• The Casimir effect in the sphere-plane geometry
• Thermally Excited Quasiparticles in Metals, Dispersion Forces, and the Thermal Anomaly
• Edge physics and the Casimir interaction in Maxwell-Chern-Simons theory on a strip