Spatial dispersion in Casimir forces: A brief review

Abstract

We present the basic principles of non-local optics in connection with the calculation of the Casimir force between half-spaces and thin films. At currently accessible distances $L$, non-local corrections amount to about half a percent, but they increase roughly as 1/L at smaller separations. Self consistent models lead to corrections with the opposite sign as models with abrupt surfaces.

Proceedings of QFEXT05, Barcelona, Sept. 5-9, 2005

References in corpus (14)

• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Measurement of the Casimir force between dissimilar metals
• Demonstration of the Lateral Casimir Force
• Effect of hydrogen-switchable mirrors on the Casimir force
• The Casimir force and the quantum theory of lossy optical cavities
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• Nonlocal impedances and the Casimir entropy at low temperatures
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• Casimir torque
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• Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets
• Canonical quantization of electromagnetism in spatially dispersive media
• Spatial dispersion in atom-surface quantum friction
• Scattering theory of the screened Casimir interaction in electrolytes
• Temperature Correction to Casimir-Lifshitz Free Energy at Low Temperatures: Semiconductors
• Extended hydrodynamic description for nonequilibrium atom-surface interactions
• Derivative expansion for the boundary interaction terms in the Casimir effect: generalized $\delta$-potentials
• Magnetic near fields as a probe of charge transport in spatially dispersive conductors
• Computation of Casimir forces for dielectrics or intrinsic semiconductors based on the Boltzmann transport equation
• Casimir repulsion turned into attraction by the nonlocal response of salted water
• Van der Waals forces and spatial dispersion
• Casimir effect with nonlocal boundary interactions
• Nanoscale Casimir Force Softening Originated from Quantum Surface Responses
• Vacuum fluctuations in the presence of nonlinear boundary conditions