Abstract

The refractive index for bulk spin waves propagating in a ferromagnetic medium with an inhomogeneous distribution of exchange interaction parameters and uniaxial anisotropy is calculated in the spin density formalism. The reflection and transmission coefficients for spin waves at the boundary between two homogeneous magnets with different exchange interaction constants, uniaxial magnetic anisotropy, and saturation magnetization are calculated with allowance for a δ-function-like exchange at the interface. The dependence of the reflected wave intensity and the refractive index on the frequency of the wave and the value of a homogeneous external dc magnetic field is obtained.

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