Effect of Pinning on Infinite-Film Spin Wave Frequencies.
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It has been argued that the frequencies of magnetostatic modes in infinite ferromagnetic disks are independent of surface spin pinning. It is shown that this result is a special case of the more general result that the dispersion curves of ferromagnetic normal modes of infinite disks follow a set of guide curves that are simply the dispersion curves for pure magnetostatic modes (exchange constant D = 0) with the internal field H replaced by H + Dk squared. The amount of the usual mode splitting is determined by the strength of the coupling; otherwise the frequencies are independent of the pinning conditions. The stronger coupling of pinned even modes causes the previously noted linearity of omega as a function of the magnitude f of the wavevector in the plane of the disk at extremely small values of f for these modes. 32 pp. Ref. (See also P-4367.) (Author)
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