The super Planckian features of radiative heat transfer in the near-field are known to depend strongly on both material and geometric properties. However, the relative importance and interplay of these two facets, and the degree to which they can be used to modify heat transfer, remains an open question. In this talk, we show that inverse design techniques can be exploited to resonantly enhance heat transfer between complex, structured surfaces. In particular, high loss metals such as tungsten can be structured to realize heat-transfer rates that come within 80% of the rate exhibited by an ideal pair of resonant lossless metals at selective frequencies and for separations as small as two hundredths of the design wavelength. We observe that the scaling of the enhancement factor with respect to material susceptibility follows that of recently derived bounds based on energy conservation. This and related work demonstrating highly modified non-equilibrium thermal effects in nonlinear media suggest the possibility of significant geometric and material tunability over radiative effects, beyond common approaches based on linear media and/or far-field emission.
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