Multiple scattering of electromagnetic waves in disordered magnetic media:Localization parameter, energy transport velocity and diffusion constant

We review some of our recent results concerning the single and multiple ele tromagnetic scattering by magnetic spherical particles. For a single electr omagnetic scattering we show that the magnetic contribution alters, when co mpared to nonmagnetic scattering, the behavior of the cross sections and me an cosine of the scattering angle ([cos theta]). For ferromagnetic particle s, resonances may occur even in the small-particle limit when the particle radius is much smaller than the wavelength. The resonances increase the cro ss-sections while [cos theta] is diminished, and even may become negative. Several quantities such the Ioffe-Regel parameter for localization are calc ulated for the multiple scattering regime. We show that magnetic scattering favors the observation of localization of electromagnetic waves in three d imensions. Further, this is also verified for dynamical experiments, where we show that the diffusion constant can be very small. Since the magnetic p ermeability of the scatterers can vary significatively around the Curie-Wei ss critical temperature, experiments should be done on the microwave region and the scatterers should be soft ferrites. Some aspects of such experimen t are presented.