Multiple scattering calculations for nonreciprocal planar magnetoplasmonic nanostructures

• We report a full electrodynamic method for layered structures of gyrotropic particles.
• By multiple-scattering theory we go from single particles to a composite structure.
• Planar structures without space-inversion and time-reversal symmetry are investigated.
• Nonreciprocal photonic Tamm states appear in a crystal of magnetized plasma spheres.
• An overlayer of magnetic garnet particles breaks reciprocity of surface plasmons.

We present an extended version of the layer-multiple-scattering method, which is ideally suited for the study of photonic crystals of different kinds of particles, encompassing homogeneous and multicoated chiral and nonchiral spheres, gyrotropic spheres, as well as homogeneous nonspherical particles. The efficiency of the method is demonstrated on specific examples of planar magnetoplasmonic nanostructures that lack, simultaneously, time-reversal and space-inversion symmetries. Nonreciprocal transport of light at the (001) surface of a semi-infinite face centered cubic (fcc) crystal of plasma nanospheres under the action of an external, in-plane, static magnetic field and of surface plasmon polaritons at the surface of a plasmonic material coated with an overlayer of magnetized garnet nanospheres is demonstrated in the Voigt geometry.