The system of spins in a finite ferromagnetic-antiferromagnetic chain, coupled by exchange interaction, is investigated. The spin-wave spectrum and the intensities of its excitation are calculated. On the basis of the results obtained, the spin-wave resonance of a ferromagnetic film with a surface of antiferromagnetic oxide is discussed. The validity of the general phenomenological boundary condition is elucidated. The value estimated for the equivalent surface anisotropy energy according to our theory is found to be in fairly good agreement with experimental data.
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