Optical properties of gold films and the Casimir force
arXiv:0801.1384 · doi:10.1103/PhysRevB.77.035439
Abstract
Precise optical properties of metals are very important for accurate prediction of the Casimir force acting between two metallic plates. Therefore we measured ellipsometrically the optical responses of Au films in a wide range of wavelengths from 0.14 mum to 33 mum. The films at various thickness were deposited at different conditions on silicon or mica substrates. Considerable variation of the frequency dependent dielectric function from sample to sample was found. Detailed analysis of the dielectric functions was performed to check the Kramers-Kronig consistency, and extract the Drude parameters of the films. It was found that the plasma frequency varies in the range from 6.8 eV to 8.4 eV. It is suggested that this variation is related with the film density. X-ray reflectivity measurements support qualitatively this conclusion. The Casimir force is evaluated for the dielectric functions corresponding to our samples, and for that typically used in the precise prediction of the force. The force for our films was found to be 5-14% smaller at a distance of 100 nm between the plates. Noise in the optical data is responsible for the force variation within 1%. It is concluded that prediction of the Casimir force between metals with a precision better than 10% must be based on the material optical response measured from visible to mid-infrared range.
arXiv comment18 pages, 14 figures, accepted for publication in Phys. Rev. B
References in corpus (17)
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Measurement of the Casimir force between parallel metallic surfaces
- Nonlinear Micromechanical Casimir Oscillator
- Improved Precision Measurement of the Casimir Force Using Gold Surfaces
- Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions
- Measurement of the Casimir force between dissimilar metals
- Template-stripped gold surfaces with 0.4 nm rms roughness suitable for force measurements. Application to the Casimir force in the 20-100 nm range
- Casimir force between metallic mirrors
- Improved tests of extra-dimensional physics and thermal quantum field theory from new Casimir force measurements
- Improved Precision Measurement of the Casimir Force
- Casimir and van der Waals force between two plates or a sphere (lens) above a plate made of real metals
- Casimir effect with rough metallic mirrors
- The Casimir force between rough metallic plates
- Sample dependence of the Casimir forces
- Precise calculation of the Casimir force between gold surfaces
- Do the precise measurements of the Casimir force agree with the expectations?
- Roughness corrections to the Casimir force: The importance of local surface slope
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