scholarly journals Beyond-proximity-force-approximation Casimir force between two spheres at finite temperature

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Giuseppe Bimonte
Keyword(s):  
Finite Temperature ◽  
Casimir Force ◽  
Proximity Force Approximation

Repulsive Casimir Force in a Cavity with Coupling Loss at Finite Temperature

2020 ◽  
Vol 59 (6) ◽  
pp. 1838-1843
Author(s):  
H. Yang ◽  
H. M. Yuan ◽  
T. Y. Zheng ◽  
Z. H. Yao
Keyword(s):  
Finite Temperature ◽  
Casimir Force ◽  
Coupling Loss

scholarly journals THE SCATTERING APPROACH TO THE CASIMIR FORCE

2010 ◽  
Vol 25 (11) ◽  
pp. 2201-2211 ◽  
Author(s):  
S. REYNAUD ◽  
A. CANAGUIER-DURAND ◽  
R. MESSINA ◽  
A. LAMBRECHT ◽  
P. A. MAIA NETO
Keyword(s):  
Casimir Force ◽  
Nanostructured Surfaces ◽  
3D Space ◽  
Geometry Dependence ◽  
Specific Calculations ◽  
Proximity Force Approximation

We present the scattering approach which is nowadays the best tool for describing the Casimir force in realistic experimental configurations. After reminders on the simple geometries of 1d space and specular scatterers in 3d space, we discuss the case of stationary arbitrarily shaped mirrors in electromagnetic vacuum. We then review specific calculations based on the scattering approach, dealing for example with the forces or torques between nanostructured surfaces and with the force between a plane and a sphere. In these various cases, we account for the material dependence of the forces, and show that the geometry dependence goes beyond the trivial Proximity Force Approximation often used for discussing experiments.

scholarly journals Repulsive Casimir force at zero and finite temperature

2009 ◽  
Vol 11 (1) ◽  
pp. 013055 ◽  
Author(s):  
S C Lim ◽  
L P Teo
Keyword(s):  
Finite Temperature ◽  
Casimir Force

scholarly journals CONTROL OF THE CASIMIR FORCE USING SEMICONDUCTOR TEST BODIES

2011 ◽  
Vol 25 (02) ◽  
pp. 171-230 ◽  
Author(s):  
G. L. KLIMCHITSKAYA ◽  
U. MOHIDEEN ◽  
V. M. MOSTEPANENKO
Keyword(s):  
Casimir Force ◽  
Laser Light ◽  
Theoretical Work ◽  
Charge Carriers ◽  
Optical Modulation ◽  
Semiconductor Test ◽  
Advantages And Disadvantages ◽  
Force Magnitude ◽  
Proximity Force Approximation ◽  
The Difference

We describe experimental and related theoretical work on the measurement of the Casimir force using semiconductor test bodies. This field of research started in 2005 and several important and interesting results have already been obtained. Specifically, the Casimir force or its gradient was measured in the configuration of an Au -coated sphere and different semiconductor surfaces. It was found that the force magnitude depends significantly on the replacement of the metal with a semiconductor and on the concentration of charge carriers in the semiconductor material. Special attention is paid to the experiment on the optical modulation of the Casimir force. In this experiment the difference in Casimir force between an Au -coated sphere and a Si plate in the presence and in the absence of laser light was measured. Possible applications of this experiment are discussed, specifically, for the realization of the pulsating Casimir force in three-layer systems. Theoretical problems arising from the comparison of the experimental data for the difference in Casimir force with the Lifshitz theory are analyzed. We consider the possibility to control the magnitude of the Casimir force in phase transitions of semiconductor materials. Experiments on measuring the Casimir force gradient between an Au -coated sphere and a Si plate covered with rectangular corrugations of different characters are also described. Here, we discuss the interplay between the material properties and nontrivial geometry and the applicability of the proximity force approximation. The review contains comparison between different experiments and analysis of their advantages and disadvantages.

scholarly journals PRECISE CALCULATION OF THE CASIMIR FORCE BETWEEN GOLD SURFACES

2000 ◽  
Vol 15 (22n23) ◽  
pp. 1437-1444 ◽  
Author(s):  
V. B. SVETOVOY ◽  
M. V. LOKHANIN
Keyword(s):  
Temperature Effect ◽  
Dielectric Function ◽  
Finite Temperature ◽  
Casimir Force ◽  
Precise Measurement ◽  
Gold Surfaces ◽  
Low Frequencies ◽  
Precise Calculation ◽  
Upper Limit ◽  
Experimental Errors

We analyze the result of precise measurement of the Casimir force between bodies covered with gold. The values of the parameters used to extrapolate the gold dielectric function to low frequencies are very important and discussed in detail. The finite temperature effect is shown to exceed considerably the experimental errors. The upper limit on the force is found which is smaller than the measured force. Many experimental and theoretical uncertainties were excluded with gold covering and we conclude that, possibly, a new force has been detected at small separations between bodies.

scholarly journals WHAT IS CREDIBLE AND WHAT IS INCREDIBLE IN THE MEASUREMENTS OF THE CASIMIR FORCE

2011 ◽  
Vol 26 (22) ◽  
pp. 3944-3957 ◽  
Author(s):  
G. L. KLIMCHITSKAYA ◽  
V. M. MOSTEPANENKO
Keyword(s):  
Casimir Force ◽  
Separation Region ◽  
Rigorous Approach ◽  
Surface Imperfections ◽  
Proximity Force Approximation

We comment on progress in measurements of the Casimir force and discuss what is the actual reliability of different experiments. In this connection a more rigorous approach to the usage of such concepts as accuracy, precision, and measure of agreement between experiment and theory, is presented. We demonstrate that all measurements of the Casimir force employing spherical lenses with centimeter-size curvature radii are fundamentally flawed due to the presence of bubbles and pits on their surfaces. The commonly used formulation of the proximity force approximation is shown to be inapplicable for centimeter-size lenses. New expressions for the Casimir force are derived taking into account surface imperfections. Uncontrollable deviations of the Casimir force from the values predicted using the assumption of perfect sphericity vary by a few tens of percent within the separation region from 1 to 3μm. This makes impractical further use of centimeter-size lenses in experiments on measuring the Casimir force.

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