Theory of heat transfer by evanescent electromagnetic waves

Loomis, James; Maris, Humphrey J.

doi:10.1103/physrevb.50.18517

Cited by 258 publications

(185 citation statements)

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“…[1][2][3] In recent years, such enhancement has been demonstrated experimentally. [4][5][6][7][8] Theoretical explorations of increasingly complex geometries are widely discussed.…”

Section: Introductionmentioning

confidence: 99%

Heat-flux control and solid-state cooling by regulating chemical potential of photons in near-field electromagnetic heat transfer

et al. 2015

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We consider near-field heat transfer with non-zero chemical potential for photons, as can occur between two semiconductor bodies, held at different temperatures with at least one of the bodies under external bias. We show that the dependence of radiative heat flux on chemical potential enables electronic control of both the direction and magnitude of near-field heat transfer between the two bodies. Moreover such a configuration can operate as a solid-state cooling device whose efficiency can approach the Carnot limit in the ideal case. Significant cooling can also be achieved in the presence of inherent non-idealities including Auger recombination and parasitic phononpolariton heat transfer. a shanhui@stanford.edu

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“…[1][2][3] In recent years, such enhancement has been demonstrated experimentally. [4][5][6][7][8] Theoretical explorations of increasingly complex geometries are widely discussed.…”

Section: Introductionmentioning

confidence: 99%

Heat-flux control and solid-state cooling by regulating chemical potential of photons in near-field electromagnetic heat transfer

et al. 2015

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“…We assume that the materials are nonmagnetic. It is obvious that, the electric and magnetic field that are generated by the component of the fluctuating induction g( r, t) hold in the Maxwell's equations [5] ∇ × E( r, ω) = i ω c H( r, ω)…”

Section: A Dielectric Constant Of Undoped Graphenementioning

confidence: 99%

“…But, what will be the force and heat transfer between bodies separated by nanometer distances? Several groups [5,[9][10][11] have shown that when the gap distance, d between bodies becomes very small, the near-field heat transfer varies as d −2 . By using nonlocal dielectric function it has been shown that, the d −2 dependence would disappear for d < 0.1 nanometer (nm) [12], [13] but generally speaking, the nonlocal effects has little influence on the predicted heat flux for d > 0.1 nm [12].…”

Section: Introductionmentioning

confidence: 99%

“…Abrikosova et al have made the first direct measurements of the van der Waals force between macroscopic bodies [4]. The energy flow between two half spaces has been found using Lifshitz's method by using the Poynting vector rather than the Maxwell stress tensor [5]. Sipe has developed new Green function formalism for calculating fields generated by sources in the presence of a multilayer geometry [6].…”

Section: Introductionmentioning

confidence: 99%

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Graphene-based three-body amplification of photon heat tunneling

Simchi

2017

Journal of Applied Physics

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We consider a three slabs configuration including two non-doped single layer graphene on insulating silicon dioxide (G/SiO2) substrates and one non-doped suspended single layer graphene (SG). The suspended layer is placed between two G/SiO2 layers. Without SG layer, the heat flux has maximum at Plasmon frequency supported by the G/SiO2 slabs. In three slabs configuration, the photon heat tunneling is amplified between two G/SiO2 layers significantly, only for specific range of vacuum gap between SG layer and G/SiO2 layers and Plasmon frequency, due to the coupling of modes between each G/SiO2 layer and SG layer. Since, the SG layer is a single atomic layer, the photon heat tunneling assisted by this configuration does not depend on the thickness of middle layer and in consequence, it can enable novel applications for nanoscale thermal management.

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“…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.…”

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confidence: 99%

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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Theory of heat transfer by evanescent electromagnetic waves

Cited by 258 publications

References 14 publications

Heat-flux control and solid-state cooling by regulating chemical potential of photons in near-field electromagnetic heat transfer

Heat-flux control and solid-state cooling by regulating chemical potential of photons in near-field electromagnetic heat transfer

Graphene-based three-body amplification of photon heat tunneling

Small distance expansion for radiative heat transfer between curved objects

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