Gilbert damping of magnetostatic modes in a yttrium iron garnet sphere

The magnetostaticmode (MSM) spectrum of a 300 μm diameter single crystalline sphere of yttrium iron garnetis investigated using broadband ferromagnetic resonance(FMR). The individual MSMs are identified via their characteristic dispersion relations, and the corresponding mode number tuples (nmr) are assigned. Taking FMR data over a broad frequency and magnetic field range allows one to analyze both the Gilbert damping parameter α and the inhomogeneous line broadening contribution to the total linewidth of the MSMs separately. The linewidth analysis shows that all MSMs share the same Gilbert damping parameter α = 2.7(5) × 10−5 irrespective of their mode index. In contrast, the inhomogeneous line broadening shows a pronounced mode dependence. This observation is modeled in terms of two- magnonscattering processes of the MSMs into the spin-wavemanifold, mediated by surface and volume defects.