Damon Eshbach mode is used to explain the dependence of spin-wave frequency of ferromagnetic layer in thin ferromagnetic (FM)/antiferromagnetic bilayer (FM/AFM) (Fe/FeF2) as a function of external field. We show that the exchange bias changes as a function of external field. Field-dependent spin-wave damping is calculated by Born approximation. A random field, due to roughness at interface, is invoked to explain the large broadening of the spin-wave mode when the AFM layer is present. In this calculation, the broadening of the spin-wave mode depends on the square of linewidth random fields. To explain the broadening of the spin-wave mode with observed results, the linewidth random fields should decrease with external field. For a magnitude of external field, we have a peak in broadening that can also be observed in experimental results.

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