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Spin wave propagation through the interface between two ferromagnets without/with Dzyaloshinskii–Moriya interaction

The analytical model is constructed for the description of the spin wave propagation through a system consisting of two ferromagnets without and with the Dzyaloshinskii–Moriya interaction, separated by a flat interface. The dependences of transmission and reflection coefficients of spin wave are found as a function of Dzyaloshinskii-Moria constant which is known to be strongly temperature dependent, tending to a significant increase at low temperature.