Spin and Elastic Waves with the Random Coupling Parameter

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Abstract
Dynamic susceptibilities (Greens function) in a system of two wave fields of different physical nature connected by the zero-mean random coupling parameter are studied. Magnetoelastic waves in zero-mean magnetostrictive media are considered. It is shown that the Greens functions of the spin and elastic waves at the intersection of the initial dispersion laws have the form of broad single-mode peaks with the fine structure on the tops of these peaks: the narrow resonance on the top of and the narrow antiresonance on the top of . For the long-wave inhomogeneities the widths of the broad peaks and narrow peaks are determined by the root-mean-square fluctuation and the correlation wave number, respectively.