Dispersive force between dissimilar materials: geometrical effects

Abstract

We calculate the Casimir force or dispersive van der Waals force between a spherical nanoparticle and a planar substrate, both with arbitrary dielectric properties. We show that the force between a sphere and a plane can be calculated through the interacting surface plasmons of the bodies. Using a Spectral Representation formalism, we show that the force of a sphere made of a material A and a plane made of a material B, differ from the case when the sphere is made of B, and the plane is made of A. We found that the difference depends on the plasma frequency of the materials, the geometry, and the distance of separation between sphere and plane. The differences show the importance of the geometry, and make evident the necessity of realistic descriptions of the sphere-plane system beyond the Derjaguin Approximation or Proximity Theorem Approximation.

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• Plasmonic nature of van der Waals forces between nanoparticles
• Plasmon dispersions in simple metals and Heusler compounds
• The Casimir force between dissimilar mirrors and the role of the surface plasmons
• Negative Casimir Entropies in Nanoparticle Interactions
• Non-additivity of van der Waals forces on liquid surfaces
• Optical band engineering via vertical stacking of honeycomb plasmonic lattices
• The role of geometry on dispersive forces
• Numerical study of the effect of structure and geometry on van der Waals forces