Electronic Thesis/Dissertation
 

Vector Magnetization Model

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In hysteresis modeling, we predict magnetization as a function of the applied field and magnetic state. Most hysteresis models are scalar. A scalar model assumes that only the magnitude of the applied field changes and therefore the direction of the magnetization is always along the direction of the applied filed. In this dissertation, I assumed the magnitude of the applied field is constant and we rotate the magnetization. I developed a vector model that can successfully predict the direction of the magnetization. The idea of decomposing magnetization into reversible and irreversible components is introduced in chapter 2 of the dissertation. In chapter 3, I developed the model for uniaxial media by using Stoner-Wohlfarth model for the direction of reversible component. This has been done in chapter 4 by assuming anisotropy field is parallel with easy axis as another variation of the model. These two has been compared in chapter 4. In chapter 5, I generalized the idea to the cubic particles. I also showed and proved a graphical visualization of the Stoner-Wohlfarth model. Finally, in chapter 6, I showed how we can improve the model by taking averages over orientation of hysteron’s easy axes.

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