Casimir Interaction between Plane and Spherical Metallic Surfaces

Journal Article · Fri Jun 12 04:00:00 EDT 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.102.230404· OSTI ID:21325538

Canaguier-Durand, Antoine; Cavero-Pelaez, Ines; Lambrecht, Astrid; Reynaud, Serge ^[1]; Maia Neto, Paulo A ^[2]

---

1. Laboratoire Kastler Brossel, CNRS, ENS, Universite Pierre et Marie Curie case 74, Campus Jussieu, F-75252 Paris Cedex 05 (France)
2. Instituto de Fisica, UFRJ, CP 68528, Rio de Janeiro, RJ, 21941-972 (Brazil)

We give an exact series expansion of the Casimir force between plane and spherical metallic surfaces in the nontrivial situation where the sphere radius R, the plane-sphere distance L and the plasma wavelength {lambda}{sub P} have arbitrary relative values. We then present numerical evaluation of this expansion for not too small values of L/R. For metallic nanospheres where R, L and {lambda}{sub P} have comparable values, we interpret our results in terms of a correlation between the effects of geometry beyond the proximity force approximation and of finite reflectivity due to material properties. We also discuss the interest of our results for the current Casimir experiments which are performed with spheres of large radius R>>L.

• OSTI ID: 21325538
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 102; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
CASIMIR EFFECT
CORRELATIONS
EVALUATION
GEOMETRY
INTERACTIONS
PLASMA
REFLECTIVITY
SERIES EXPANSION
SPHERES
SURFACES
WAVELENGTHS