Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry

Wei, Qun; Dalvit, Diego A. R.; Lombardo, Fernando C.; Mazzitelli, Francisco D.; Onofrio, Roberto

doi:10.1103/physreva.81.052115

Cited by 37 publications

(30 citation statements)

References 91 publications

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“…As recognized in Ref. [50], the same effect might be responsible for the calibration problems arising in the case of a centimeter-size cylinder above a plate. Because of this, the consideration of much smaller cylinders seems to be preferable.…”

Section: Introductionmentioning

confidence: 94%

Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

et al. 2010

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We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration are derived using the proximity force approximation. The accuracy of the obtained expressions is determined from a comparison with exact results available in ideal metal case. Computations of the thermal correction to both the Casimir force and its gradient are performed in the framework of different theoretical approaches proposed in the literature. The correction to the Casimir force and its gradient due to lack of parallelism of the plate and cylinder is determined using the nonmultiplicative approach. The error introduced in the theory due to the finite length of the cylinder is estimated. We propose that both static and dynamic experiments measuring the thermal Casimir interaction between a cylinder and a plate using a micromachined oscillator can shed additional light on the thermal Casimir force problem. Specifically, it is shown that the static experiment is better adapted for the measurement of thermal effects.

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Section: Introductionmentioning

confidence: 94%

Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

et al. 2010

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“…III, the dependence of V 0 on separation was observed in different experiments on the Casimir force (see, e.g., Refs. [46][47][48]54,56,62 ). It might be caused for different reasons including the mechanical drift considered above.…”

Section: A Numerical Simulations Of Additional Forces Due To Electromentioning

confidence: 99%

Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using an atomic force microscope in a frequency-shift technique

et al. 2012

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We present measurement results for the gradient of the Casimir force between an Au-coated sphere and an Au-coated plate obtained by means of an atomic force microscope operated in a frequency shift technique. This experiment was performed at a pressure of 3 × 10 −8 Torr with hollow glass sphere of 41.3 µm radius. Special attention is paid to electrostatic calibrations including the problem of electrostatic patches. All calibration parameters are shown to be separationindependent after the corrections for mechanical drift are included. The gradient of the Casimir force was measured in two ways with applied compensating voltage to the plate and with different applied voltages and subsequent subtraction of electric forces. The obtained mean gradients are shown to be in mutual agreement and in agreement with previous experiments performed using a micromachined oscillator. The obtained data are compared with theoretical predictions of the Lifshitz theory including corrections beyond the proximity force approximation. An independent comparison with no fitting parameters demonstrated that the Drude model approach is excluded by the data at a 67% confidence level over the separation region from 235 to 420 nm. The theoretical approach using the generalized plasma-like model is shown to be consistent with the data over the entire measurement range. Corrections due to the nonlinearity of oscillator are calculated and the application region of the linear regime is determined. A conclusion is made that the results of several performed experiments call for a thorough analysis of the basics of the theory of dispersion forces.

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“…Different kinds of imperfections on such surfaces (bubbles, pits and scretches) can lead to significant deviations of the force-distance relation from the form predicted by classical electrodynamics under an assumption of perfectly spherical surface. Later this possibility was recognized 45 as a crucial point to be taken into account in future experiments not only in the sphere-plate geometry, but also for a cylindrical lens of centimeter-size radius of curvature near the plate.…”

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confidence: 99%

Impact of surface imperfections on the Casimir force for lenses of centimeter-size curvature radii

et al. 2011

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The impact of imperfections, which are always present on surfaces of lenses with centimeter-size curvature radii, on the Casimir force in the lens-plate geometry is investigated. It is shown that the commonly used formulation of the proximity force approximation is inapplicable for spherical lenses with surface imperfections, such as bubbles and pits. More general expressions for the Casimir force are derived that take surface imperfections into account. Using these expressions we show that surface imperfections can both increase and decrease the magnitude of the Casimir force up to a few tens of percent when compared with the case of a perfectly spherical lens. We demonstrate that the Casimir force between a perfectly spherical lens and a plate described by the Drude model can be made approximately equal to the force between a sphere with some surface imperfection and a plate described by the plasma model, and vice versa. In the case of a metallic sphere and semiconductor plate, approximately the same Casimir forces are obtained for four different descriptions of charge carriers in the semiconductor if appropriate surface imperfections on the lens surface are present. The conclusion is made that there is a fundamental problem in the interpretation of measurement data for the Casimir force, obtained by using spherical lenses of centimeter-size radii, and their comparison with theory.

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Results from electrostatic calibrations for measuring the Casimir force in the cylinder-plane geometry

Cited by 37 publications

References 91 publications

Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using an atomic force microscope in a frequency-shift technique

Impact of surface imperfections on the Casimir force for lenses of centimeter-size curvature radii

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