Beyond the simple Proximity Force Approximation: geometrical effects on the non-retarded Casimir interaction

Abstract

We study the geometrical corrections to the simple Proximity Force Approximation for the non-retarded Casimir force. We present analytical results for the force between objects of various shapes and substrates, and between pairs of objects. We compare the results to those from more exact numerical calculations. We treat spheres, spheroids, cylinders, cubes, cones, and wings; the analytical PFA results together with the geometrical correction factors are summarized in a table.

18 pages, 19 figures, 1 table

References in corpus (6)

• Template-stripped gold surfaces with 0.4 nm rms roughness suitable for force measurements. Application to the Casimir force in the 20-100 nm range
• Casimir force between metallic mirrors
• Computation and visualization of Casimir forces in arbitrary geometries: non-monotonic lateral forces and failure of proximity-force approximations
• High-multipolar effects on the Casimir force: the non-retarded limit
• High-Multipolar Effects on Dispersive Forces
• Numerical study of the effect of structure and geometry on van der Waals forces

Cited by in corpus (7)

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• Possibility to measure thermal effects in the Casimir force
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• Repulsive and attractive Casimir interactions in liquids
• Negative Casimir Entropies in Nanoparticle Interactions
• Casimir experiments showing saturation effects
• Radiative heat exchange of spherical particles with metal and insulator plates