Analytical analysis of the spin wave dispersion in the cycloidal spin structures under the influence of magneto-electric coupling

Abstract: Spin waves and coupling of the spin waves with electromagnetic waves are considered in the multiferroic materials with the electric dipole moment proportional to the scalar product of spins. Dispersion dependence for the spin waves propagating as the perturbation of the equilibrium state described by spin cycloid is found. The dielectric permeability as the response on the electromagnetic perturbations associated with the magneto-electric coupling for the same equilibrium state is calculated.