Radiative heat transfer between two dielectric nanogratings in the scattering approach

Lussange, J.; Guérout, R.; Rosa, F. S. S.; Greffet, Jean‐Jacques; Lambrecht, Astrid; Reynaud, Serge

doi:10.1103/physrevb.86.085432

Cited by 88 publications

(66 citation statements)

References 40 publications

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“…Clearly the use of a structured surface increases the thermal Casimir force and makes the effect easier to be observed at shorter distances. A possible explanation is that the nanostructures change the spectral mode density, especially in the infrared frequency domain, so that thermal effects become enhanced, as it has already been pointed out in heat-transfer phenomena between gratings [16,17].…”

Section: Numerical Evaluationsmentioning

confidence: 99%

Thermal Casimir force between nanostructured surfaces

et al. 2013

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We present detailed calculations for the Casimir force between a plane and a nanostructured surface at finite temperature in the framework of the scattering theory. We then study numerically the effect of finite temperature as a function of the grating parameters and the separation distance. We also infer nontrivial geometrical effects on the Casimir interaction via a comparison with the proximity force approximation. Finally, we compare our calculations with data from experiments performed with nanostructured surfaces.

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Section: Numerical Evaluationsmentioning

confidence: 99%

Thermal Casimir force between nanostructured surfaces

et al. 2013

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“…In the case of two aligned gratings with equal filling factors f 1 = f 2 = f it reduces to the following weighted sum of the pressures of simple slab-slab configurations [36,39]:…”

Section: B Casimir-lifshitz Force Ote Between Two Different Gratingsmentioning

confidence: 99%

“…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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“…Theoretically, HT has been considered for a limited number of shapes: Parallel plates [2,3,7,8], a dipole or sphere in front a plate [9][10][11], two dipoles or spheres [9,12,13], and for a cone and a plate [14]. The scattering formalism has been successfully exploited [10,[15][16][17][18] in this context. Although powerful numerical techniques [14,19] exist for arbitrary geometries, analytical computations are limited to planar, cylindrical and spherical cases [18].…”

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Small distance expansion for radiative heat transfer between curved objects

Golyk¹,

Krüger²,

McCauley³

et al. 2013

EPL

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-We develop a small distance expansion for the radiative heat transfer between gently curved objects, in terms of the ratio of distance to radius of curvature. A gradient expansion allows us to go beyond the lowest order proximity transfer approximation. The range of validity of such expansion depends on temperature as well as material properties. Generally, the expansion converges faster for the derivative of the transfer than for the transfer itself, which we use by introducing a near-field adjusted plot. For the case of a sphere and a plate, the logarithmic correction to the leading term has a very small prefactor for all materials investigated.More than 40 years ago Van Hove and Polder used Rytov's fluctuational electrodynamics [1] to predict that the radiative heat transfer (HT) between objects separated by a vacuum gap can exceed the blackbody limit [2]. This is due to evanescent electromagnetic fields decaying exponentially into the vacuum. HT due to evanescent waves has also attracted a lot of interest due to its connection with scanning tunnelling microscopy, and scanning thermal microscopy under ultra-high vacuum conditions [3,4]. The enhancement of HT in the near-field regime (generally denoting separations small compared to the thermal wavelength, which is roughly 8 microns at room temperature) has only recently been verified experimentally [5,6]. Theoretically, HT has been considered for a limited number of shapes: Parallel plates [2,3,7,8], a dipole or sphere in front a plate [9][10][11], two dipoles or spheres [9,12,13], and for a cone and a plate [14]. The scattering formalism has been successfully exploited [10,[15][16][17][18] in this context. Although powerful numerical techniques [14,19] exist for arbitrary geometries, analytical computations are limited to planar, cylindrical and spherical cases [18]. Alternatively, the HT between closely spaced curved objects can be computed by use of the proximity transfer approximation (PTA) [10,11,20], which exploits an approach that has been extensively used in the context of fluctuation induced forces [21] (referred to as proximity force approximation): The HT between two parallel plates (per unit area), H pp (S), for separation S is averaged over one of the (projected) curved surfaces. PTA is generally assumed to hold asymptotically for small separations, however no rigorous derivation appears available in the literature.Here we develop a gradient expansion for HT between closely spaced objects, which enables to rigorously justify PTA and to quantify corrections to it in the limit of small separation. This method, which has been proposed for Casimir forces [22][23][24], exploits the mapping of coefficients of a perturbative expansion on one side and a gradient expansion on the other. We carefully explore the limitations and subtleties of this method in the case of HT and propose a near-field adjusted plot that overcomes the possibly slow convergence of the expansion.Consider two non-magnetic objects with dielectric permittivities ǫ 1 (ω) and ...

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Radiative heat transfer between two dielectric nanogratings in the scattering approach

Cited by 88 publications

References 40 publications

Thermal Casimir force between nanostructured surfaces

Thermal Casimir force between nanostructured surfaces

Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings

Small distance expansion for radiative heat transfer between curved objects

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