ATR-waves contradict Kirchhoff's law in the wave optics mode

1999 
According to Kirchhoff's law there is no net flux of heat radiation through an interface between two media at same temperature. This can be shown, if the totally internally reflected waves have a reflectance equal one. However in wave optics, some waves, which should be totally reflected, actually under-go total internal reflection, leak across the boundary and are absorbed in the other medium (attenuated total reflection, ATR). These ATR-waves, which leak into the other medium, produce an additional energy flux through the interface. Contrary to the normal flux of heat radiation this additional energy flux is asymmetric: Since total reflection occurs only at one side of the interface, the energy flux of the ATR-waves occurs only in one direction, thus there is no compensation of this heat flux. So the paradox is that at the same temperature there is a net flux of heat energy through the boundary due to ATR-waves, which clearly contradicts Kirchhoff's law. The existence of this paradox will be proved in the macroscopic model of wave optics.
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