Casimir Force between a Half-Space and a Plate of Finite Thickness
arXiv:1604.05870 · doi:10.1103/PhysRevA.93.052504
Abstract
Zero-frequency Casimir theory is analyzed from different viewpoints, focusing on the Drude-plasma issue that turns up when one considers thermal corrections to the Casimir force. The problem is that the plasma model, although leaving out dissipation in the material, apparently gives the best agreement with recent experiments. We consider a dielectric plate separated from a dielectric half-space by a vacuum gap, both media being similar. We consider the following categories: (1) Making use of the statistical mechanical method developed by Høye and Brevik (1998), implying that the quantized electromagnetic field is replaced by interaction between dipole moments oscillating in harmonic potentials, we first verify that the Casimir force is in agreement with the Drude prediction. No use of Fresnel's reflection coefficients is made at this stage. (2) Then turning to the field theoretical description implying use of the reflection coefficients, we derive results in agreement with the forgoing when first setting the frequency equal to zero, before letting the permittivity becoming large. With the plasma relation the reflection coefficient for TE zero frequency modes depend on the component of the wave vector parallel to the surfaces and lies between 0 and 1. This contradicts basic electrostatic theory. (3) Turning to high permeability magnetic materials the TE zero frequency mode describes the static magnetic field in the same way as the TM zero frequency modes describe the static electric fields in electrostatics. With the plasma model magnetic fields, except for a small part, can not pass through metals. i.e.~metals effectively become superconductors. However, recent experimental results clearly favor the plasma model. We shortly discuss a possible explanation for this apparent conflict with electrostatics.
arXiv comment18 pages latex, no figures, to appear in Phys. Rev. A
References in corpus (18)
- Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions
- Observation of the thermal Casimir force
- Constraining New Forces in the Casimir Regime Using the Isoelectronic Technique
- Does the Transverse Electric Zero Mode Contribute to the Casimir Effect for a Metal?
- Influence of slab thickness on the Casimir force
- Analytical and Numerical Verification of the Nernst Theorem for Metals
- What is the Temperature Dependence of the Casimir Effect?
- Microscopic theory of the Casimir force at thermal equilibrium: large-separation asymptotics
- Hide it to see it better: a robust setup to probe the thermal Casimir effect
- Apparatus for measuring the thermal Casimir force at large distances
- Temperature Dependence of the Casimir Force
- Screening of classical Casimir forces by electrolytes in semi-infinite geometries
- Comparison between experiment and theory for the thermal Casimir force
- Casimir Force on Real Materials - the Slab and Cavity Geometry
- Casimir attraction in multilayered plane parallel magnetodielectric systems
- Isolelectronic apparatus to probe the thermal Casimir force
- Observing the Casimir-Lifshitz Force Out of Thermal Equilibrium
- Casimir Energies: Temperature Dependence, Dispersion, and Anomalies