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Abstract: We use multipolar expansions to find the force on a gold coated sphere abovea gold substrate; we study both an empty gold shell and a gold coatedpolystyrene sphere. We find four characteristic separation ranges. In the firstregion, which for the empty gold shell occurs for distances, d, smaller thanthe thickness of the coating, the result agrees with that on a solid goldsphere and varies as d^-2; for larger separations there is a region where theforce behaves as if the coating is strictly two dimensional and varies asd^-5-2; in the third region the dependence is more unspecific; in the forthregion when d is larger than the radius, the force varies as d^-4. Forhomogeneous objects of more general shapes we introduce a numerical methodbased on the solution of an integral equation for the electric field over asystem of objects with arbitrary shapes. We study the effect of shape andorientation on the van der Waals interaction between an object and a substrateand between two objects.



Autor: Carlos E. Román-Velázquez, Bo E. Sernelius

Fuente: https://arxiv.org/







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