First analytic correction beyond PFA for the electromagnetic field in sphere-plane geometry

Abstract

We consider the vacuum energy for a configuration of a sphere in front of a plane, both obeying conductor boundary condition, at small separation. For the separation becoming small we derive the first next-to-leading order of the asymptotic expansion in the separation-to-radius ratio $\ep$. This correction is of order $\ep$. In opposite to the scalar cases it contains also contributions proportional to logarithms in first and second order, $\ep \ln \ep$ and $\ep (\ln \ep)^2$. We compare this result with the available findings of numerical and experimental approaches.

20 pages, 1 figure

References in corpus (10)

• Casimir forces between arbitrary compact objects
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Worldline algorithms for Casimir configurations
• Casimir energy between a plane and a sphere in electromagnetic vacuum
• Fluctuation induced quantum interactions between compact objects and a plane mirror
• Casimir force for a sphere in front of a plane beyond Proximity Force Approximation
• Casimir forces between arbitrary compact objects: Scalar and electromagnetic field
• Exact results for Casimir interactions between dielectric bodies: The weak-coupling or van der Waals Limit
• Numerical evaluation of the Casimir interaction between cylinders
• Exact Casimir energies at nonzero temperature: Validity of proximity force approximation and interaction of semitransparent spheres

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