Abstract
The observed linewidths of the magnetostatic modes of roughened spheres of yttrium iron garnet do not follow the expected simple dependence on the density of degenerate spinwave states. A theoretical explanation is presented of the apparently erratic differences between the linewidths of the low-order magnetostatic modes. Semiclassical spinwave theory is used to calculate the coupling between the resonant mode and the degenerate spinwaves. Linewidths dependent on surface condition are calculated on the basis of typical values for the parameters to describe rough surfaces, and fit to experimental linewdiths. The calculated and observed linewidths are presented; the agreement between them is very good. The results are consistent with the general assumptions of the previous treatments, but in addition it is shown that it is necessary to include the field configuration of the magnetostatic modes in the calculation of surface-dependent linewidths.
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