Near field radiative heat transfer about nanoparticles and semi-infinite media

Based on the fluctuation-dissipation theorem and the dipolar approximation, we derive in detail the expressions of the radiative heat power between a nanoparticle and a semi-infinite plane sample separated at distances of the order of micro/nanometer. The effects of distances and frequencies are also discussed on the radiative power. The numerical results indicate that the effect of near field can enhance greatly the heat transfer at the correlative frequencies of the material. The results should play a very important role in the near-field microscopy, in design of nanostructures and in high density storage processes by local heating.