Vacuum-induced torque between corrugated metallic plates

Rodrigues, Robson B.; Neto, Paulo A. Maia; Lambrecht, Astrid; Reynaud, Serge

doi:10.1209/epl/i2006-10340-1

Cited by 93 publications

(73 citation statements)

References 18 publications

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“…VII.A, the lateral Casimir force and related torque differ from zero for an angle between corrugation axes ϑ ≪ Λ/L, where L is the size of the plate along the corrugation axis. The optimum values of the corrugation period Λ and plate separations were found in order to get larger values of the Casimir torque in comparison with those predicted for anisotropic test bodies of the same area (Rodrigues et al, 2006b). …”

Section: The Casimir Torquementioning

confidence: 92%

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The Casimir force between real materials: Experiment and theory

2009

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Section: The Casimir Torquementioning

confidence: 92%

“…Another possibility to observe the Casimir torque was theoretically investigated in the configuration of two corrugated plates with a small angle between the corrugation directions (Rodrigues et al, 2006b). As discussed in Sec.…”

Section: The Casimir Torquementioning

confidence: 99%

The Casimir force between real materials: Experiment and theory

2009

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“…Casimir forces are usually attractive interactions measurable at small separations, but recent theoretical works [1][2][3][4][5][6][7][8] have predicted a variety of situations in which these forces can be modified by using complex microstructures. In addition, by utilizing different choices of materials the Casimir force can be changed in both magnitude [9] and sign [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, while in some circumstances EMA can be a useful qualitative guide (and rigorously accurate in certain limits), it must be used with caution-ideally, as a supplement to exact calculations. Orientation dependence (and the resulting Casimir torque) between slabs has previously been considered for two birefringent plates with weak anisotropy [22][23][24], and for corrugated metallic plates [2]. Although the torques in these systems are in principle measurable, the change in the force with orientation is small, and the forces are always attractive.…”

Section: Introductionmentioning

confidence: 99%

Structural anisotropy and orientation-induced Casimir repulsion in fluids

et al. 2011

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In this work we theoretically consider the Casimir force between two periodic arrays of nanowires (both in vacuum, and on a substrate separated by a fluid) at separations comparable to the period. Specifically, we compute the dependence of the exact Casimir force between the arrays under both lateral translations and rotations. Although typically the force between such structures is well characterized by the proximity force approximation (PFA), we find that in the present case the microstructure modulates the force in a way qualitatively inconsistent with PFA. We find instead that effective-medium theory, in which the slabs are treated as homogeneous, anisotropic dielectrics, gives a surprisingly accurate picture of the force, down to separations of half the period. This includes a situation for identical, fluid-separated slabs in which the exact force changes sign with the orientation of the wire arrays, whereas PFA predicts attraction. We discuss the possibility of detecting these effects in experiments, concluding that this effect is strong enough to make detection possible in the near future.

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“…When the corrugation plates are rotated with respect to each other, a torque appears to be induced by vacuum fluctuations, tending to align the corrugation directions [62]. In contrast with the similar torque appearing between misaligned birefringent plates [63], the torque is here coupled to the lateral force.…”

Section: The Lateral Casimir Force Between Corrugated Platesmentioning

confidence: 94%

The Scattering Approach to the Casimir Force

Reynaud

Canaguier-Durand

Messina

et al. 2010

Quantum Field Theory Under the Influence of External Conditions (QFEXT09)

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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. The many facets of the Casimir effectThe Casimir effect [1] is a jewel with many facets. First, it is an observable effect of vacuum fluctuations in the mesoscopic world, which deserves careful attention as a crucial prediction of quantum field theory [2][3][4][5][6][7].Then, it is also a fascinating interface between quantum field theory and other important aspects of fundamental physics. It has connections with the puzzles of gravitational physics through the problem of vacuum energy [8,9] as well as with the principle of relativity of motion through the dynamical Casimir-like effects [10][11][12]. Effects beyond the Proximity Force Approximation also make apparent the extremely rich interplay of vacuum energy with geometry (references and more discussions below).Casimir physics also plays an important role in the tests of gravity at sub-millimeter ranges [13,14] Finally, the Casimir force and closely related Van der Waals force are dominant at micron or sub-micron distances, which entails that they have strong connections with various important domains, such as atomic and molecular physics, condensed matter and surface physics, chemical and biological physics, micro-and nano-technology [20]. Comparison of the Casimir force measurements with theoryIn short-range gravity tests, the new force would appear as a difference between the experimental result F exp and theoretical prediction F th . This implies that F th and F exp have to be assessed independently from each other and should forbid anyone to use theory-experiment comparison for proving (or disproving) some specific experimental result or theoretical model.Casimir calculated the force between a pair of perfectly smooth, flat and parallel plates in the limit of zero temperature and perfect reflection. He found universal expressions for the force F Cas and energy E Caswith L the distance, A the area, c the speed of light and the Planck constant. This universality is explained by the saturation of the optical response of perfect mirrors which reflect 100% (no less, no more) of the incoming fields. Clearly, this idealization does not correspond to any real mirror. In fact, the effect of imperfect reflection is large in most experiments, and a precise knowledge of its frequency dependence is essential for obtaining a reliable theoretical predict...

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Vacuum-induced torque between corrugated metallic plates

Cited by 93 publications

References 18 publications

The Casimir force between real materials: Experiment and theory

The Casimir force between real materials: Experiment and theory

Structural anisotropy and orientation-induced Casimir repulsion in fluids

The Scattering Approach to the Casimir Force

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