Lifshitz Interaction between Dielectric Bodies of Arbitrary Geometry

Abstract

A formulation is developed for the calculation of the electromagnetic--fluctuation forces for dielectric objects of arbitrary geometry at small separations, as a perturbative expansion in the dielectric contrast. The resulting Lifshitz energy automatically takes on the form of a series expansion of the different many-body contributions. The formulation has the advantage that the divergent contributions can be readily determined and subtracted off, and thus makes a convenient scheme for realistic numerical calculations, which could be useful in designing nano-scale mechanical devices.

References in corpus (17)

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Cited by in corpus (13)

• Casimir repulsion between Topological Insulators in the diluted regime
• Fluctuation-induced interactions between dielectrics in general geometries
• Pairwise summation approximation for Casimir potentials and its limitations
• Green's Function expansion of scalar and vector fields in the presence of a medium
• Dynamical Casimir effect for semitransparent mirrors
• The boundary element approach to Van der Waals interactions
• Casimir-Lifshitz Interaction between Dielectric Heterostructures
• Pairwise Summation Approximation of Casimir energy from first principles
• Effect of the Heterogeneity of Metamaterials on Casimir-Lifshitz Interaction
• Canonical quantization of electromagnetic field in the presence of nonlinear anisotropic magnetodielectric medium with spatial-temporal dispersion
• From Brownian motion formalism to fluctuation-induced force in a general fluctuating medium
• Radiation properties of an oscillating atom in the presence of external fields
• Lateral Casimir force between deeply corrugated dielectric and metallic plates