Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves
arXiv:2205.10819 · doi:10.1142/S0217751X22410093
Abstract
For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of electromagnetic waves. We review work on the proximity-force approximation and corrections to it within the plane-wave basis for systems involving spherical objects. Previous work is extended by allowing for polarization mixing during the reflection at a sphere. In particular, explicit results are presented for perfect electromagnetic conductors. Furthermore, for perfect electric conductors at zero temperature, it is demonstrated that beyond the leading-order correction to the proximity-force approximation, terms of half-integer order in the distance between the sphere surfaces appear.
arXiv comment15 pages, 4 figures
References in corpus (39)
- The Casimir force between real materials: experiment and theory
- Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates
- Casimir forces between arbitrary compact objects
- The Casimir effect within scattering theory
- Casimir forces beyond the proximity approximation
- The proximity force approximation for the Casimir energy as a derivative expansion
- Casimir energy between a plane and a sphere in electromagnetic vacuum
- Efficient Computation of Power, Force, and Torque in BEM Scattering Calculations
- Fluctuation induced quantum interactions between compact objects and a plane mirror
- Experiment and theory in the Casimir effect
- Attractive and Repulsive Casimir Vacuum Energy with General Boundary Conditions
- Casimir force for a sphere in front of a plane beyond Proximity Force Approximation
- Measurement of the Casimir Force between 0.2 and 8 mum: Experimental Procedures and Comparison with Theory
- Probing the Casimir force with optical tweezers
- Plasma vs Drude modelling of the Casimir force: beyond the proximity force approximation
- Casimir Puzzle and Casimir Conundrum: Discovery and Search for Resolution
- Precision measurements of the gradient of the Casimir force between ultra clean metallic surfaces at larger separations
- Examining the Casimir puzzle with upgraded technique and advanced surface cleaning
- On the corrections beyond proximity force approximation (PFA)
- Exact results for classical Casimir interactions: Dirichlet and Drude model in the sphere-sphere and sphere-plane geometry
- Material dependence of Casimir interaction between a sphere and a plate: First analytic correction beyond proximity force approximation
- Casimir interaction between a sphere and a grating
- Casimir effect between two spheres at small separations
- Proximity force approximation and specular reflection: Application of the WKB limit of Mie scattering to the Casimir effect
- The State of the Art in Constraining Axion-to-Nucleon Coupling and Non-Newtonian Gravity from Laboratory Experiments
- The derivative expansion approach to the interaction between close surfaces
- Probing the screening of the Casimir interaction with optical tweezers
- Classical Casimir interaction in the plane-sphere geometry
- The role of diffraction in the Casimir effect beyond the proximity force approximation
- Recent measurements of the Casimir force: Comparison between experiment and theory
- Plane-wave approach to the exact van der Waals interaction between colloid particles
- Advancing numerics for the Casimir effect to experimentally relevant aspect ratios
- Casimir effect from a scattering approach
- Progress in Experimental Measurements of the Surface-Surface Casimir Force: Electrostatic Calibrations and Limitations to Accuracy
- Casimir effect for perfect electromagnetic conductors (PEMCs): A sum rule for attractive/repulsive forces
- Casimir Free Energy at High Temperatures: Grounded vs Isolated Conductors
- Classical Casimir free energy for two Drude spheres of arbitrary radii: A plane-wave approach
- Accounting for dissipation in the scattering approach to the Casimir energy
- Casimir Interaction Between a Plane and a Sphere: Correction to the Proximity-Force Approximation at Intermediate Temperatures