  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
super- Planckian 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.
