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An empirical relation for the saturation velocity in bubble domain garnet materials

An empirical relation is given for the saturation velocity of a domain wall in a bubble domain garnet material. The relation is v_{o3} = 0.4\pi\gammaM(A/K_{u})^{1/2} , where V_{o3} is the saturation velocity, γ the gyromagnetic ratio, 4\piM the saturation magnetization, A the exchange constant and K u the uniaxial anisotropy constant. The relation provides a close approximation for a wide range of experimental data. Comparisons between experimental data and theoretical data are made. A possible interpretation of the empirical relation is given.