Do the Precise Measurements of the Casimir Force Agree  With the Expectations?

Svetovoy, V. B.; Lokhanin, M. V.

doi:10.1142/s021773230000102x

Cited by 34 publications

(131 citation statements)

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“…Lamoreaux 20 was the first who recognized this problem. The reason is very simple: [20][21][22][23] optical properties of deposited films depend on the method of preparation, and can differ substantially from sample to sample.…”

Section: -13mentioning

confidence: 99%

Optical properties of gold films and the Casimir force

et al. 2008

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Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. 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 to 33 m. The films at various thicknesses 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 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.

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Section: -13mentioning

confidence: 99%

Optical properties of gold films and the Casimir force

et al. 2008

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“…In this case the leading term in the temperature correction is ∼ T 3 [19] and the entropy is safely going to zero as S ∼ T 2 . Two other approaches predict the leading term in the correction ∼ T and finite entropy at T = 0, positive and negative for the approaches [20] and [18], respectively. However, the following analysis revealed that the situation is not as simple.…”

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confidence: 99%

“…A weak point of this approach is that no known material behaves at a low frequency according to the plasma model. Svetovoy and Lokhanin [20] proposed to use SDM prescription for the n = 0 term in the Lifshitz formula for real metals also. Later it was shown [21] that this prescription follows from a very general dimensional analysis of the classical contribution to the force if one demands continuous transition to the ideal metal case.…”

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The Casimir free energy in high- and low-temperature limits

Svetovoy

Esquivel

2006

J. Phys. A: Math. Gen.

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The problem with the temperature dependence of the Casimir force is investigated. We analyse high-temperature limit analytically making calculations at real frequencies. The purpose is to answer the question why there is no continuous transition between real and ideal metals and why the result does not depend on the relaxation frequency. It is found that the contribution of evanescent s polarized fields is finite even for an infinitely small relaxation frequency (plasma model) and exactly cancels the contribution of propagating fields. For the ideal metal the evanescent fields do not contribute at all. The lowtemperature limit is analysed to establish behaviour of the entropy at T → 0. It is stressed that the nonlocal effects are important in this limit because the mean free path for electrons becomes larger than the field penetration depth. In this limit v F /a plays the role of the relaxation frequency, where v F is the Fermi velocity and a is the distance between plates. It is indicated that the Leontovich approximate impedance cannot be used for calculations because it is good for the description of propagating but not evanescent fields. It is found that due to nonlocality the Casimir entropy approaches zero at T → 0 when s polarization does not contribute to the classical part of the Casimir force.

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“…For example, thin metallic film transparent for visible light gives very significant contribution to the force. 22 On the other hand, a hydrogen-switchable mirror that changes from reflection to transmission in visible light does not give a measurable effect. 23 For practical evaluation of the interaction energy it is convenient to change variables in Eq.…”

Section: Theory a Gold-gold Interaction In The Lifshitz Theorymentioning

confidence: 99%

“…As the dielectric function of Au film we used the data for sample 3 from Ref. 22. The results are presented in Fig.…”

Section: Theory a Gold-gold Interaction In The Lifshitz Theorymentioning

confidence: 99%

Influence of ultrathin water layer on the van der Waals/Casimir force between gold surfaces

2009

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Influence of ultrathin water layer on the van der Waals/Casimir force between gold surfaces Palasantzas, G.; Svetovoy, V. B.; van Zwol, P. J. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. In this paper we investigate the influence of ultrathin water layer ͑ϳ1 -1.5 nm͒ on the van der Waals/ Casimir force between gold surfaces. Adsorbed water is inevitably present on gold surfaces at ambient conditions as jump-up-to contact during adhesion experiments demonstrate. Calculations based on the Lifshitz theory give very good agreement with the experiment in the absence of any water layer for surface separations d տ 10 nm. However, a layer of thickness h Շ 1.5 nm is allowed by the error margin in force measurements. At shorter separations, d Շ 10 nm, the water layer can have a strong influence as calculations show for flat surfaces. Nonetheless, in reality the influence of surface roughness must also be considered, and it can overshadow any water layer influence at separations comparable to the total sphere-plate rms roughness w shp + w.

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Do the Precise Measurements of the Casimir Force Agree With the Expectations?

Cited by 34 publications

References 13 publications

Optical properties of gold films and the Casimir force

Optical properties of gold films and the Casimir force

The Casimir free energy in high- and low-temperature limits

Influence of ultrathin water layer on the van der Waals/Casimir force between gold surfaces

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