Thermal Casimir force between nanostructured surfaces

Guérout, R.; Lussange, J.; Chan, H. B.; Lambrecht, Astrid; Reynaud, Serge

doi:10.1103/physreva.87.052514

Cited by 41 publications

(43 citation statements)

References 17 publications

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“…Recently, exact expressions of the Casimir force between dielectric nanostructures have been developed for the normal and the lateral regime [14,[18][19][20][21] that compare very well with recent experiments performed with deep [22,23] and shallow corrugations [24].…”

Section: Genetsupporting

confidence: 54%

“…At zero temperature the Casimir energy between the two corrugated plates reads [21] E Cas = c 8π 3 dξ…”

Section: Genetmentioning

confidence: 99%

“…With respect to [21] we have performed a change of variable ξ/c → ξ here. The operator T represents a translation of length L from the first to the second grating and 1 is the identity operator.…”

Section: Genetmentioning

confidence: 99%

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Casimir torque between nanostructured plates

Guérout¹,

Genet²,

Lambrecht³

et al. 2015

EPL

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We investigate in detail the Casimir torque induced by quantum vacuum fluctuations between two nanostructured plates. Our calculations are based on the scattering approach and take into account the coupling between different modes induced by the shape of the surface which are neglected in any sort of proximity approximation or effective medium approach. We then present an experimental setup aiming at measuring this torque.

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Section: Genetsupporting

confidence: 54%

“…At zero temperature the Casimir energy between the two corrugated plates reads [21] E Cas = c 8π 3 dξ…”

Section: Genetmentioning

confidence: 99%

See 1 more Smart Citation

Casimir torque between nanostructured plates

Guérout¹,

Genet²,

Lambrecht³

et al. 2015

EPL

Self Cite

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“…More recently, nanostructured surfaces have been theoretically considered in the contexts of both force [32][33][34][35] and heat transfer [36,37]. Experimentally, the force has been measured between a sphere and a dielectric [38,39] or metallic [40] grating.…”

Section: Introductionmentioning

confidence: 99%

Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings

et al. 2014

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We calculate the Casimir-Lifshitz pressure in a system consisting of two different one-dimensional dielectric lamellar gratings having two different temperatures and immersed in an environment having a third temperature. The calculation of the pressure is based on the knowledge of the scattering operators, deduced using the Fourier modal method. The behavior of the pressure is characterized in detail as a function of the three temperatures of the system as well as the geometrical parameters of the two gratings. We show that the interplay between nonequilibrium effects and geometrical periodicity offers a rich scenario for the manipulation of the force. In particular, we find regimes where the force can be strongly reduced for large ranges of temperatures. Moreover, a repulsive pressure can be obtained, whose features can be tuned by controlling the degrees of freedom of the system. Remarkably, the transition distance between attraction and repulsion can be decreased with respect to the case of two slabs, implying an experimental interest for the observation of repulsion.

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“…In the spirit of a manipulation thourgh geometrical properties, structured surfaces have been the topic of many theoretical investigations. More specifically, by considering both 1D and 2D periodic gratings, both the radiative heat transfer [30][31][32][33][34][35][36][37] and the Casimir force at and out of thermal equilibrium [38][39][40][41][42][43][44][45][46][47] have been studied by employing a variety of theoretical approaches. It has been shown that gratings represent indeed a tool to modify, both by reducing and amplifying, radiative heat transfer, as well as to influence its spectral properties.…”

Section: Introductionmentioning

confidence: 99%

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

et al. 2017

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We calculate the radiative heat transfer between two identical metallic one-dimensional lamellar gratings. To this aim we present and exploit a modification to the widely-used Fourier modal method, known as adaptive spatial resolution, based on a stretch of the coordinate associated to the periodicity of the grating. We first show that this technique dramatically improves the rate of convergence when calculating the heat flux, allowing to explore smaller separations. We then present a study of heat flux as a function of the grating height, highlighting a remarkable amplification of the exchanged energy, ascribed to the appearance of spoof-plasmon modes, whose behavior is also spectrally investigated. Differently from previous works, our method allows us to explore a range of grating heights extending over several orders of magnitude. By comparing our results to recent studies we find a consistent quantitative disagreement with some previously obtained results going up to 50%. In some cases, this disagreement is explained in terms of an incorrect connection between the reflection operators of the two gratings.

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Thermal Casimir force between nanostructured surfaces

Cited by 41 publications

References 17 publications

Casimir torque between nanostructured plates

Casimir torque between nanostructured plates

Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

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