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The role of geometry on dispersive forces

C E Román-Velázquez and Cecilia Noguez

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The role of geometry on dispersive forces is investigated by calculating the energy between different spheroidal particles and planar surfaces, both with arbitrary dielectric properties. The energy is obtained in the non-retarded limit using a spectral representation formalism and calculating the interaction between the surface plasmons of the two macroscopic bodies. The energy is a power-law function of the separation of the bodies, where the exponent value depends on the geometrical parameters of the system, like the separation distance between bodies, and the aspect ratio among minor and major axes of the spheroid.


PACS

71.45.Gm Exchange, correlation, dielectric and magnetic response functions, plasmons

73.20.Mf Collective excitations (including excitons, polarons, plasmons and other charge-density excitations)

02.40.-k Geometry, differential geometry, and topology

MSC

70G55 Algebraic geometry methods

Subjects

Mathematical physics

Condensed matter: electrical, magnetic and optical

Surfaces, interfaces and thin films

Dates

Issue 21 (26 May 2006)

Received 24 October 2005, in final form 13 December 2005

Published 10 May 2006



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