In this work the scattering, absorption and the far-field thermal emission properties of clusters of randomly distributed magneto-optical (MO) nanoparticles are studied, considering spectral, directional and polarization state of the electromagnetic waves. We observe the Zeeman splitting effect in the scattered, absorbed and far-field emitted energy, the magnitude of which are directly influenced by the multiple scattering effect among the nanoparticles. The scattering and thermally emitted waves by the cluster have large degrees of circular polarization in directions parallel to the applied magnetic field H, but are linearly polarized in directions perpendicular to H, the effect of multiple scattering on the polarization state is much weaker. Moreover, the angular distribution of both the intensity and polarization state of the scattered and emitted waves can be effectively altered by the applied direction of H. In the multiple scattering by the MO nanoparticle cluster, we find that the MO effect can break the reciprocity of all the four Stokes parameters. In addition, we reconfirm the validity of Kirchhoff's law for the MO nanoparticle cluster considering four polarization states. Our work indicates that MO effect can be utilized to dynamically tune the apparent radiative properties of particle-dispersed systems like functional coatings, where the multiple scatterings by the dispersed particles are accompanied by the thermal emission process.
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