On the limits of the effective description of hyperbolic materials in the presence of surface waves

Tschikin, Maria; Biehs, Svend‐Age; Messina, Riccardo; Ben‐Abdallah, Philippe

doi:10.1088/2040-8978/15/10/105101

Cited by 55 publications

(43 citation statements)

References 40 publications

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“…As was shown in Ref. 31 materials which have a broad hyperbolic frequency band as predicted from effective medium theory can support surface modes inside these frequency bands as well which will compete with the hyperbolic modes 31,32 . In particular, we will show that for the realization of a hyperbolic metamaterial as studied in Ref.…”

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confidence: 61%

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Super-Planckian near-field thermal emission with phonon-polaritonic hyperbolic metamaterials

Biehs

Tschikin

Messina

et al. 2013

Applied Physics Letters

177

124

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We study super-Planckian near-field heat exchanges for multilayer hyperbolic metamaterials using exact S-matrix calculations. We investigate heat exchanges between two multilayer hyperbolic metamaterial structures. We show that the superPlanckian emission of such metamaterials can either come from the presence of surface phonon-polaritons modes or from a continuum of hyperbolic modes depending on the choice of composite materials as well as the structural configuration.In the last few years several fascinating experiments have demonstrated that for small separation distances compared with the thermal wavelength the thermal radiation exchanged between two hot bodies out of thermal equilibrium increases dramatically compared with what we observe at large distances and can even exceed the well-known Stefan-Boltzmann law by orders of magnitude 1-6 . Accordingly, thermal emission is in that case also called super-Planckian emission emphasizing the possibility to go beyond the classical black-body theory. There are several promising applications of super-Planckian emitters ranging from thermal imaging 7-9 and thermal rectification/management 10-12 to near-field thermophotovoltaics 13-17 . This has triggered many studies on the possibilities of tailoring and controlling the super-Planckian radiation spectrum by means of designing the material properties 18-23 , using phase-change materials 24 or 2D systems such as graphene 25,26 , for instance.Recently, it was shown that hyperbolic metamaterials can lead to broad-band photonic thermal conductance inside the material itself 27 and between two hyperbolic materials only separated by a vacuum gap 28 . Further Nefedov et al. considered nanorod-like structures

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confidence: 61%

“…As will become clear in the following the such calculated frequency bands ∆ 1 and ∆ 2 can also support surface modes, which are not taken into account in the effective description 31 . In order to study super-Planckian radiation we consider the geometry depicted in Fig.…”

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confidence: 96%

Super-Planckian near-field thermal emission with phonon-polaritonic hyperbolic metamaterials

Biehs

Tschikin

Messina

et al. 2013

Applied Physics Letters

177

124

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“…By comparing EMT to the exact results in Figure 7b, it can be seen that the EMT results are actually not so far off from the exact results for most frequencies when SiC is topmost layer, but they lack of course the surface mode contribution of the first SiC layer as could already be observed in the transmission coefficients. This finding has important consequences for the LDOS and heat flux as discussed in [25,81,96]. Compared to the mixed configuration and the configuration with Ge as topmost layer EMT overestimated the heat flux inside the reststrahlen band for most frequencies, whereas compared to the configuration with SiC as topmost layer EMT underestimates the heat flux especially around ω SPhP .…”

Section: Radiative Heat Fluxmentioning

confidence: 91%

“…one period of the structure, are strictly speaking only meaningful when the periodicity Λ of the meta-material structure is much smaller than the wavelength but even for Λ much smaller than the wavelength the EMT results can lead to wrong predictions [25,[76][77][78][79][80][81] so that some care needs to be exercised when using these EMT expressions. Nonetheless, they are quite helpful for determinig the hyperbolic frequency bands of a meta-material structure in a simple way.…”

Section: Hyperbolic Mediamentioning

confidence: 99%

Near-Field Heat Transfer between Multilayer Hyperbolic Metamaterials

Biehs

Ben‐Abdallah

2016

Zeitschrift Für Naturforschung A

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Abstract:We review the near-field radiative heat flux between hyperbolic materials focusing on multilayer hyperbolic meta-materials. We discuss the formation of the hyperbolic bands, the impact of ordering of the multilayer slabs, as well as the impact of the first single layer on the heat transfer. Furthermore, we compare the contribution of surface modes to that of hyperbolic modes. Finally, we also compare the exact results with predictions from effective medium theory.

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“…It should be noted that the effective medium approach used in Eqn. (5), (6) does not describe the effects of the spatial dispersion in the metamaterial [27,28], however in planar hyperbolic metamaterials studied in this work the resulting corrections can be neglected [29]. The permittivity of AlInAs in mid-IR is approximately constant ( AlInAs ≈ 10.23), and the permittivity of n + -doped InGaAs can be expressed as [14] …”

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confidence: 92%