An influence of the periodic modulation of the magnetization on the magneto-optical effects in the nanostructures was studied. It was revealed that the periodic spatial distribution of the magnetic response in the ferromagnetic part of the nanostructure leads to the appearance of the periodic modulation of both transverse magneto-optical Kerr effect as well as the Faraday effect. In case of a coincidence of magnetization modulation period and spatial length of the excited optical mode in the nanostructure the magneto-optical effects become resonantly enhanced. There are addressed plasmonic metal/dielectric nanostructures as well as the silicon/ferromagnetic dielectric structures.
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