Shear magnetoelastic modes in a ferromagnetic cylinder

Features of the mode spectrum of shear magnetoelastic waves circulating along the boundary of a ferromagnetic cylinder are discussed in the nonexchange magnetostatic approximation. Depending on the level of the spin-phonon coupling in the crystal and on the frequency, the lowest order normal mode may be either fast or slow relative to the bulk shear wave in an infinite crystal. It is shown that, unlike the lowest order mode, the higher order modes, which primarily depend on the curvature of the boundary, demonstrate a weak nonreciprocity of propagation in directions with opposite azimuths. Conditions for the slow propagation of the lowest order mode, when it is identified with a surface magnetoelastic wave, are only possible sufficiently far away from the cutoff frequency of the mode spectrum in ferromagnetic cylinders with a strong spin-phonon coupling and a small curvature of the boundary.