Optical-approximation analysis of sidewall-spacing effects on the force between two squares with parallel sidewalls

Abstract

Using the ray-optics approximation, we analyze the Casimir force in a two dimensional domain formed by two metallic blocks adjacent to parallel metallic sidewalls, which are separated from the blocks by a finite distance h. For h > 0, the ray-optics approach is not exact because diffraction effects are neglected. Nevertheless, we show that ray optics is able to qualitatively reproduce a surprising effect recently identified in an exact numerical calculation: the force between the blocks varies non-monotonically with h. In this sense, the ray-optics approach captures an essential part of the physics of multi-body interactions in this system, unlike simpler pairwise-interaction approximations such as PFA. Furthermore, by comparison to the exact numerical results, we are able to quantify the impact of diffraction on Casimir forces in this geometry.

References in corpus (12)

• Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
• Casimir forces between arbitrary compact objects
• Control of the Casimir force by the modification of dielectric properties with light
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Casimir force on a piston
• Casimir edge effects
• The Casimir force between rough metallic plates
• Roughness correction to the Casimir force : Beyond the Proximity Force Approximation
• Computation and visualization of Casimir forces in arbitrary geometries: non-monotonic lateral forces and failure of proximity-force approximations
• Virtual photons in imaginary time: Computing exact Casimir forces via standard numerical-electromagnetism techniques
• Casimir interaction of two plates inside a cylinder
• Casimir forces and non-Newtonian gravitation

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• Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders
• Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols
• Casimir interaction: pistons and cavity
• Casimir-Polder repulsion: Three-body effects