Thermal discrete dipole approximation for the description of thermal emission and radiative heat transfer of magneto-optical systems

摘要

We present here a generalization of the thermal discrete dipole approximation(TDDA) that allows us to describe the near-field radiative heat transferbetween finite objects of arbitrary shape that exhibit magneto-optical (MO)activity. We also extend the TDDA approach to describe the thermal emission ofa finite object with and without MO activity. Our method is also valid foroptically anisotropic materials described by an arbitrary permittivity tensorand we provide simple closed formulas for the basic thermal quantities thatconsiderably simplify the implementation of TDDA method. Moreover, we show thatemploying our TDDA approach one can rigorously demonstrate Kirchhoff'sradiation law relating the emissivity and absorptivity of an arbitrary MOobject. Our work paves the way for the theoretical study of the active controlof emission and radiative heat transfer between MO systems of arbitrary sizeand shape.