,Fractal Study of Multi-branched Domains in Garnet Bubble Films

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The line-measuring dimension Dlinc has been developed and selected to describe the curved and branched pattes of multi-branched domains (MBDs) formed by using the "low-bias-field method" in magnetic gaet bubble films.The definition of Dline is given. The domain patte processing and the "double boundary description" of MBDs are introduced. It has been verified that the MBD pattes truly possess the characteristic of fractal structure over a certain range. The meaningful Dline seems to be a better parameter to quantitatively describe the curved and branched structure of MBDs, and can be related to the nucleation of vertical Bloch lines in their walls.
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