Abstract
A general theory is developed for magneto-optical effects excited through the near field within the surface domain of a ferromagnet and detected outside by the elastic scattering of light. A small non-magnetic particle located above the planar surface of the magnetizable medium is considered as a source of the near field and a scatterer of light. The anisotropic effective polarizability of the particle possessing surface plasmon resonances is evaluated self-consistently taking the dynamic “image” effect into account to all orders of the perturbation theory in electromagnetic interaction between the particle and unmagnetized ferromagnet. Much weaker magneto-optical interaction is considered to the first order in magnetization. The scattering matrix elements for possible conversions of electromagnetic wave polarization, as well as magneto-optical corrections to the cross-sections and ellipticity parameters, are derived for all processes where the usual elastic light scattering and the longitudinal and transverse magneto-optical Kerr effects appear as elementary events.
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