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

Messina, Riccardo; Noto, Antonio; Guizal, Brahim; Antezza, Mauro

doi:10.1103/physrevb.95.125404

Cited by 55 publications

(41 citation statements)

References 69 publications

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“…The results obtained with the FMM have been verified by means of an independent numerical code, in which a modification to the FMM known as Adaptive Spatial Resolution (ASR) has been implemented. This technique, originally introduced to improve the convergence of the method and to overcome the instabilities observed in particular in the case of metallic gratings [52,53], has been recently employed to calculate the radiative heat transfer between two gold gratings [54]. For the physical system studied in this work, it has given results in agreement (within the numerical precision) with the ones of the FMM.…”

Section: Resultsmentioning

confidence: 89%

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

et al. 2020

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We study the Casimir torque between two metallic one-dimensional gratings rotated by an angle θ with respect to each other. We find that, for infinitely extended gratings, the Casimir energy is anomalously discontinuous at θ = 0, due to a critical zero-order geometric transition between a 2Dand a 1D-periodic system. This transition is a peculiarity of the grating geometry and does not exist for intrinsically anisotropic materials. As a remarkable practical consequence, for finite-size gratings, the torque per area can reach extremely large values, increasing without bounds with the size of the system. We show that for finite gratings with only 10 period repetitions, the maximum torque is already 60 times larger than the one predicted in the case of infinite gratings. These findings pave the way to the design of a contactless quantum vacuum torsional spring, with possible relevance to micro-and nano-mechanical devices.

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Section: Resultsmentioning

confidence: 89%

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

et al. 2020

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“…In particular, in the infrared where the Planck function is considerable (at typical experimental temperatures, T 1000 K), Φ Born for all of these materials is significantly larger than the corresponding Φ opt and is highly sensitive to material dispersion; as a specific example, the Born bound for Au lies significantly above the upper limits of the plot over the entire range of frequencies shown. By contrast, the logarithmic dependence of Φ opt on ζ p means that it will generally be much less sensitive to changes in material dispersion except near polariton resonances; this is noticeable in the infrared for [16] and doped Si (blue star) [7] surfaces. ΦBorn for Au is several orders of magnitude above the plotted range and thus not shown.…”

Section: Boundmentioning

confidence: 97%

“…Finally, we compare the power spectrum Φ planar × d 2 /A associated with identical planar films [6,12] to the exact and Born bounds in Fig. 3, specifically considering gold (Au), doped silicon (Si), and silicon carbide (SiC) as representative materials, as well as to the largest heat transfer observed in specific nanostructured Au [16] and Si [7] surfaces studied in the past. (We employ Drude dispersions for Au [16] and Si [7], and a phonon polaritonic dispersion for SiC [17].)…”

Section: Boundmentioning

confidence: 99%

“…3, specifically considering gold (Au), doped silicon (Si), and silicon carbide (SiC) as representative materials, as well as to the largest heat transfer observed in specific nanostructured Au [16] and Si [7] surfaces studied in the past. (We employ Drude dispersions for Au [16] and Si [7], and a phonon polaritonic dispersion for SiC [17].) In particular, in the infrared where the Planck function is considerable (at typical experimental temperatures, T 1000 K), Φ Born for all of these materials is significantly larger than the corresponding Φ opt and is highly sensitive to material dispersion; as a specific example, the Born bound for Au lies significantly above the upper limits of the plot over the entire range of frequencies shown.…”

Section: Boundmentioning

confidence: 99%

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Fundamental Limits to Radiative Heat Transfer: The Limited Role of Nanostructuring in the Near-Field

2020

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In a complementary article [1], we exploited algebraic properties of Maxwell's equations and fundamental principles such as electromagnetic reciprocity and passivity, to derive fundamental limits to radiative heat transfer applicable in near-through far-field regimes. The limits depend on the choice of material susceptibilities and bounding surfaces enclosing arbitrarily shaped objects. In this article, we apply these bounds to two different geometric configurations of interest, namely dipolar particles or extended structures of infinite area in the near field of one another, and compare these predictions to prior limits. We find that while near-field radiative heat transfer between dipolar particles can saturate purely geometric "Landauer" limits, bounds on extended structures cannot, instead growing much more slowly with respect to a material response figure of merit, an "inverse resistivity" for metals, due to the deleterious effects of multiple scattering; nanostructuring is unable to overcome these limits, which can be practically reached by planar media at the surface polariton condition.Radiative heat transfer (RHT) between two bodies may be written as a frequency integral of the formwhere Π(ω, T ) is the Planck function (and it has been assumed, without loss of generality, that T B > T A so P > 0), and Φ(ω) a dimensionless spectrum of energy transfer. RHT between two objects sufficiently separated in space follows the Planck blackbody law, but in the near-field where separations are smaller than the characteristic thermal wavelength of radiation, contributions to RHT from evanescent modes will dominate, allowing Φ(ω) to exceed the far-field blackbody limits by orders of magnitude. Moreover, because the Planck function decays exponentially with frequency, judicious choice of materials and nanostructured geometries can shift resonances in Φ to lower (especially infrared) frequencies, allowing observation of even larger integrated RHT powers [2-5]. However, after accounting for the effects of such frequency shifts, the degree to which the spectrum Φ at a given frequency can be enhanced remains an open question. The inability of trial-and-error explorations and optimization procedures [6, 7] to saturate prior bounds on Φ based on modal analyses [8][9][10][11] or energy conservation [12] suggests that these prior bounds may be too loose.In a complementary article [1], we derived new bounds that simultaneously account for material and geometric constraints as well as multiple scattering effects. These bounds, valid from the near-through far-field regimes, incorporate the dependence of the optimal modal response of each object on the other while simultaneously being constrained by passivity considerations in isolation. They depend on a general material response factor ("inverse resistivity" for metals) [12],without making explicit reference to specific frequencies or dispersion models, and are domain monotonic, increasing with object volumes independently of their shapes. Consequently, our bounds are applicable ...

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“…Examples include surface phonon polaritons that can exist at the surface of polar dielectric materials such as SiO 2 and SiC, or surface plasmon polaritons (SPPs) that can be supported between metallic surfaces or structures [13][14][15][16][17]. Recently, it is demonstrated that surface plasmons in graphene can also achieve a similar role to enhance the photon tunneling between two graphene sheets [18].…”

Section: Introductionmentioning

confidence: 99%

Near-field heat transfer between graphene/hBN multilayers

et al. 2017

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We study the radiative heat transfer between multilayer structures made by a periodic repetition of a graphene sheet and a hexagonal boron nitride (hBN) slab. Surface plasmons in a monolayer graphene can couple with a hyperbolic phonon polaritons in a single hBN film to form hybrid polaritons that can assist photon tunneling. For periodic multilayer graphene/hBN structures, the stacked metallic/dielectric array can give rise to a further effective hyperbolic behavior, in addition to the intrinsic natural hyperbolic behavior of hBN. The effective hyperbolicity can enable more hyperbolic polaritons that enhance the photon tunneling and hence the near-field heat transfer. However, the hybrid polaritons on the surface, i.e. surface plasmon-phonon polaritons, dominate the near-field heat transfer between multilayer structures when the topmost layer is graphene. The effective hyperbolic regions can be well predicted by the effective medium theory (EMT), thought EMT fails to capture the hybrid surface polaritons and results in a heat transfer rate much lower compared to the exact calculation. The chemical potential of the graphene sheets can be tuned through electrical gating and results in an additional modulation of the heat transfer. We found that the near-field heat transfer between multilayer structure does not increase monotonously with the number of layer in the stack, which provides a way to control the heat transfer rate by the number of graphene layers in the multilayer structure. The results may benefit the applications of near-field energy harvesting and radiative cooling based on hybrid polaritons in two-dimensional materials.

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

Cited by 55 publications

References 69 publications

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

Giant Casimir Torque between Rotated Gratings and theθ=0Anomaly

Fundamental Limits to Radiative Heat Transfer: The Limited Role of Nanostructuring in the Near-Field

Near-field heat transfer between graphene/hBN multilayers

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