A domain-theoretic model for external-field-driven magnetization processes in thin-film microelements is described. The film is mathematically described by a dynamic grid of quadrilateral domains whose magnetization directions and vertex locations are variables with which to minimize the total free energy. The magnetostatic interaction between uniformly (in-plane) magnetized polygonal domains is essentially treated exactly. Predicted results for reversal mechanisms and field-induced metastable remanent domain configurations in Permalloy microelements are in good qualitative agreement with Bitter pattern observations.>
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N. Smith (1988) studied this question.
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