Casimir energy between a plane and a sphere in electromagnetic vacuum

Abstract

The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an expression valid for arbitrary relative values of the sphere radius and inter-plate distance. In the limiting case of perfect reflection, the electromagnetic result is found to depart from the commonly used proximity-force approximation (PFA) significantly more rapidly than expected from scalar computations.

4 pages, 3 figures. A comparison with existing results (new reference [26]) was added

References in corpus (3)

• Roughness correction to the Casimir force : Beyond the Proximity Force Approximation
• Casimir force for a sphere in front of a plane beyond Proximity Force Approximation
• Exact Casimir Interaction Between Semitransparent Spheres and Cylinders

Cited by in corpus (2)

• Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
• Numerical evaluation of the Casimir interaction between cylinders