We investigate the near-field (NF) radiative heat transfer of the three-body system consisting of anisotropic magnetodielectric hyperbolic metamaterials (AMDHMs), which can support coupled surface phonon polaritons (SPhPs) and hyperbolic modes for both p and s polarizations. We numerically demonstrate that the NF heat transfer between two AMDHMs bodies can be further enhanced by inserting an AMDHMs slab. Due to the loss in AMDHMs, there exists an optimum thickness of the intermediate slab to maximize the NF heat flux flowing to the receiver for a fixed gap distance. Results obtained from this work will facilitate investigations of the NF heat transfer involving magnetic hyperbolic metamaterials.

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