Surface impedance and the Casimir force
arXiv:quant-ph/0110128 · doi:10.1103/PhysRevA.65.012111
Abstract
The impedance boundary condition is used to calculate the Casimir force in configurations of two parallel plates and a shpere (spherical lens) above a plate at both zero and nonzero temperature. The impedance approach allows one to find the Casimir force between the realistic test bodies regardless of the electromagnetic fluctuations inside the media. Although this approach is an approximate one, it has wider areas of application than the Lifshitz theory of the Casimir force. The general formulas of the impedance approach to the theory of the Casimir force are given and the formal substitution is found for connecting it with the Lifshitz formula. The range of micrometer separations between the test bodies which is interesting from the experimental point of view is investigated in detail. It is shown that at zero temperature the results obtained on the basis of the surface impedance method are in agreement with those obtained in framework of the Lifshitz theory within a fraction of a percent. The temperature correction to the Casimir force from the impedance method coincides with that from the Lifshitz theory up to four significant figures. The case of millimeter separations which corresponds to the normal skin effect is also considered. At zero temperature the obtained results have good agreement with the Lifshitz theory. At nonzero temperature the impedance approach is not subject to the interpretation problems peculiar to the zero-frequency term of the Lifshitz formula in dissipative media.
2 figures; to appear in Phys. Rev. A
References in corpus (2)
Cited by in corpus (24)
- The Casimir force between real materials: experiment and theory
- Improved tests of extra-dimensional physics and thermal quantum field theory from new Casimir force measurements
- Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
- Violation of the Nernst heat theorem in the theory of thermal Casimir force between Drude metals
- Experimental and Theoretical Investigation of the Lateral Casimir Force Between Corrugated Surfaces
- Theory confronts experiment in the Casimir force measurements: quantification of errors and precision
- Surface-impedance approach solves problems with the thermal Casimir force between real metals
- Correlation of energy and free energy for the thermal Casimir force between real metals
- Correction to the Casimir force due to the anomalous skin effect
- Thermodynamical aspects of the Casimir force between real metals at nonzero temperature
- Exact results for Casimir forces using Surface Impedance: Nonlocal Media
- Experiment and theory in the Casimir effect
- Nonlocal impedances and the Casimir entropy at low temperatures
- Present status of controversies regarding the thermal Casimir force
- New features of the thermal Casimir force at small separations
- Towards a Theory of Molecular Forces between Deformed Media
- Analytic approach to the thermal Casimir force between metal and dielectric
- Thermal correction to the Casimir force, radiative heat transfer, and an experiment
- Temperature correction to the Casimir force in cryogenic range and anomalous skin effect
- A theory of electromagnetic fluctuations for metallic surfaces and van der Waals interactions between metallic bodies
- On the Casimir entropy for a ball in front of a plane
- New approach to the thermal Casimir force between real metals
- Comment on ''Surface-impedance approach solves problems with the thermal Casimir force between real metals''
- A Gedanken spacecraft that operates using the quantum vacuum (Dynamic Casimir effect)