Abstract
This chapter deals with spin-waves and parametric instabilities for large magnetization motions. The analytical expression for large magnetization motions in particles with uniaxial symmetry opens the possibility to carry out the analysis of spin-wave perturbations and spin-wave instabilities for spatially uniform large magnetization motions. This analysis reveals the remarkable result that the radio frequency input powers capable of inducing spin-wave instabilities are bounded from below as well as from above. This implies that sufficiently large, spatially uniform magnetization motions are always stable. Linearization of the coupled Landau–Lifshitz–Gilbert and Maxwell equations around periodic rotating (P-mode) solutions is presented. An analysis of the instabilities of the plane-wave perturbations of P-modes is also carried out. These instabilities are of parametric resonance nature and its eigenvalues are extensively used in the analysis. The numerical analysis is complemented by the analytical perturbative computations of the one-period map. Simple analytical formulas for the characteristic multipliers are obtained and used in the stability analysis. The results obtained for spatially uniform perturbations are presented along with the results for spin-wave perturbations.
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