Casimir energy between a plane and a sphere in electromagnetic vacuum
arXiv:0803.2444 · doi:10.1103/PhysRevA.78.012115
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 (9)
- Casimir forces between arbitrary compact objects
- Roughness correction to the Casimir force : Beyond the Proximity Force Approximation
- Multiple Scattering Methods in Casimir Calculations
- Casimir force for a sphere in front of a plane beyond Proximity Force Approximation
- The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
- Casimir forces between arbitrary compact objects: Scalar and electromagnetic field
- Exact Casimir Interaction Between Semitransparent Spheres and Cylinders
- The Casimir effect as scattering problem
- Casimir energy and geometry : beyond the Proximity Force Approximation