scholarly journals Plasma versus Drude Modeling of the Casimir Force: Beyond the Proximity Force Approximation

2017 ◽  
Vol 119 (4) ◽  
Author(s):  
Michael Hartmann ◽  
Gert-Ludwig Ingold ◽  
Paulo A. Maia Neto
Keyword(s):  
Casimir Force ◽  
Proximity Force Approximation

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 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 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.

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

2011 ◽  
Vol 03 ◽  
pp. 541-554 ◽  
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 3 μm. This makes impractical further use of centimeter-size lenses in experiments on measuring the Casimir force.

scholarly journals Roughness correction to the Casimir force: Beyond the Proximity Force Approximation

2012 ◽  
Vol 100 (2) ◽  
pp. 29902 ◽  
Author(s):  
P. A. Maia Neto ◽  
A. Lambrecht ◽  
S. Reynaud
Keyword(s):  
Casimir Force ◽  
Proximity Force Approximation

scholarly journals Strong geometry dependence of the Casimir force between interpenetrated rectangular gratings

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Mingkang Wang ◽  
L. Tang ◽  
C. Y. Ng ◽  
Riccardo Messina ◽  
Brahim Guizal ◽  
...  
Keyword(s):  
Casimir Force ◽  
Quantum Fluctuations ◽  
Complex Geometries ◽  
Casimir Forces ◽  
Recent Advances ◽  
Geometry Dependence ◽  
Proximity Force Approximation ◽  
On Chip

AbstractQuantum fluctuations give rise to Casimir forces between two parallel conducting plates, the magnitude of which increases monotonically as the separation decreases. By introducing nanoscale gratings to the surfaces, recent advances have opened opportunities for controlling the Casimir force in complex geometries. Here, we measure the Casimir force between two rectangular silicon gratings. Using an on-chip detection platform, we achieve accurate alignment between the two gratings so that they interpenetrate as the separation is reduced. Just before interpenetration occurs, the measured Casimir force is found to have a geometry dependence that is much stronger than previous experiments, with deviations from the proximity force approximation reaching a factor of ~500. After the gratings interpenetrate each other, the Casimir force becomes non-zero and independent of displacement. This work shows that the presence of gratings can strongly modify the Casimir force to control the interaction between nanomechanical components.

DEMONSTRATING THE STRONG GEOMETRY DEPENDENCE OF THE CASIMIR FORCE ON A SURFACE WITH DEEP, NANOSCALE CORRUGATIONS

2010 ◽  
Vol 25 (11) ◽  
pp. 2212-2222 ◽  
Author(s):  
H. B. CHAN ◽  
Y. BAO ◽  
J. ZOU ◽  
R. A. CIRELLI ◽  
F. KLEMENS ◽  
...  
Keyword(s):  
Casimir Force ◽  
Flat Surface ◽  
Torsional Oscillator ◽  
Silicon Surfaces ◽  
Finite Conductivity ◽  
Additive Approximation ◽  
Corrugated Surfaces ◽  
Geometry Dependence ◽  
Proximity Force Approximation ◽  
Gold Sphere

We measure the Casimir force gradient between silicon surfaces with nanoscale, rectangular corrugations and a gold sphere attached to a micromechanical torsional oscillator. By comparing the force gradients on the corrugated surfaces to that on a smooth, flat surface of the same material, we demonstrate that the Casimir force deviates from the value expected from the pairwise additive approximation and the proximity force approximation. The observed deviation qualitatively agrees with calculations that take into account the interplay between finite conductivity and geometry effects. However, the agreement is not exact, possibly due to uncertainties in the optical properties of the silicon substrate.

scholarly journals COMPARISON BETWEEN EXPERIMENT AND THEORY FOR THE THERMAL CASIMIR FORCE

2012 ◽  
Vol 14 ◽  
pp. 155-170 ◽  
Author(s):  
G. L. KLIMCHITSKAYA ◽  
M. BORDAG ◽  
V. M. MOSTEPANENKO
Keyword(s):  
Experimental Data ◽  
Casimir Force ◽  
Exact Results ◽  
Computational Results ◽  
Fitting Procedures ◽  
Proximity Force Approximation ◽  
Plate Geometry

We analyze recent experiments on measuring the thermal Casimir force with account of possible background effects. Special attention is paid to the validity of the proximity force approximation (PFA) used in the comparison between the experimental data and computational results in experiments employing a sphere-plate geometry. The PFA results are compared with the exact results where they are available. The possibility to use fitting procedures in theory-experiment comparison is discussed. On this basis we reconsider experiments exploiting spherical lenses of centimeter-size radii.

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