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Radiative heat transfer between uniform plates is bounded by the narrow rangeand limited contribution of surface waves. Using a combination of analyticalcalculations and numerical gradient-based optimization, we show that such alimitation can be overcome in complicated multilayer geometries, allowing thescattering and coupling rates of slab resonances to be altered over a broadrange of evanescent wavevectors. We conclude that while the radiative fluxbetween two inhomogeneous slabs can only be weakly enhanced, the flux between adipolar particle and an inhomogeneous slab---proportional to the local densityof states---can be orders of magnitude larger, albeit at the expense ofincreased frequency selectivity. A brief discussion of hyperbolic metamaterialsshows that they provide far less enhancement than optimized inhomogeneousslabs.

Overcoming limits to near-field radiative heat transfer in uniform planar media through multilayer optimization