Simulated analytic solutions of the dependence of the magnetization angles (μ; ') inside a domain-wall upon the coordinate normal to a pinned domain wall have been obtained as a function of the field orientation angles and the field strength and the results were used to obtain a new modified Kondorsky function. The modified Kondorsky function shows that our results better agree with the experimental data than ever before reported. Furthermore, the modified Kondorsky function varies sensitively with the transverse coordinate, field strength, quality factor and field angles (μH; ÃH). Appropriately chosen values of these parameters may make the evaluation of the Kondorsky function edge closer to the experimental pinning field data, provided we deal with a Bloch wall, or a mixed Bloch-Néel wall, but not a pure Néel wall. Evidently, the domain wall structure has to be taken into account in graphing the pinning field.
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