Effects of both the phase and the amplitude inhomogeneities of different dimensionalities on the Greens function and on the one-dimensional density of states of spin waves in the sinusoidal superlattice have been studied. Processes of multiple scattering of waves from inhomogeneities have been taken into account in the self-consistent approximation.
The spin-wave spectrum in one-dimensional magnon crystals periodic superlattices (SLs) is investigated for the rectangular and sinusoidal modulation profile of the material parameters. The dependences of band gaps in the spectrum on both the difference of the magnetic parameters in adjacent layers and the ratio of the layer thicknesses are calculated.
Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion