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A spin-wave resonance technique was used to collect information on elementary magnon excitations in high quality epitaxial La_{0.7}Mn_{1.3}O_{2.84} films prepared by dc-magnetron sputtering. It was found that besides bulk spin-wave modes, the spin-wave resonance spectrum includes also the surface spin waves. The value of spin-wave stiffness constant D=156 meV·Å^2 was found. The values of the surface magnetic anisotropy on both surfaces and their angular dependence were determined. The experimentally found spin-wave resonance spectra were explained based on the surface-inhomogeneity model. The effect of surface anisotropy on the spin-wave excitation conditions in epitaxial La_{0.7}Mn_{1.3}O_{2.84} films was investigated. Spin-wave resonance data give an indirect evidence of periodic charge-ordered stripes formation.
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