A Green function approach is used with the uctuation-dissipation theorem to theoretically model radiative heat transfer in microscale cylindrical geometries. The appropriate scalar Green function is presented by employing an impedance boundary condition. While z-independent elds are produced by axial line sources, it is proposed here that the qualitative results are applicable to thermal radiation within microscale spherical domains. An application of the theoretical result demonstrates the potential importance of surface phonon polariton modes in thermal radiation transport across porous surface-active ceramics.

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