Fast Evaluation of Demagnetizing Field in Three Dimensional Micromagnetics using Multipole Approximation

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dc.contributor.advisorBaras, John S.en_US
dc.contributor.advisorKrishnaprasad, Perinkulam S.en_US
dc.contributor.authorTan, X.en_US
dc.contributor.authorBaras, John S.en_US
dc.contributor.authorKrishnaprasad, Perinkulam S.en_US
dc.contributor.departmentISRen_US
dc.contributor.departmentCDCSSen_US
dc.date.accessioned2007-05-23T10:10:26Z
dc.date.available2007-05-23T10:10:26Z
dc.date.issued2000en_US
dc.description.abstractComputational micromagnetics in three dimensions is of increasing interest with the development of magnetostrictive sensors andactuators. In solving the Landau-Lifshitz-Gilbert (LLG) equation, the governing equation of magnetic dynamics for ferromagnetic materials, we need to evaluate the effective field. The effective field consists of several terms, among which the demagnetizing field is of long-range nature.<p>Evaluating the demagnetizing field directly requires work of O(N^2) for a grid of N cells and thus it is the bottleneck in computational micromagnetics. A fast hierarchical algorithm using multipole approximation is developed to evaluate the demagnetizing field. We first construct a mesh hierarchy and divide the grid into boxes of different levels. The lowest level box is the whole grid while the highest level boxes are just cells. The approximate field contribution from the cells contained in a box is characterized by the box attributes, which are obtained via multipole approximation. The algorithm computes field contributions from remote cells using attributes of appropriate boxes containing those cells, and it computes contributions from adjacent cells directly. Numerical results have shown that the algorithm requires work of O(NlogN) and at the same time it achieves high accuracy. It makes micromagnetic simulation in three dimensions feasible.en_US
dc.format.extent300220 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6186
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 2000-19en_US
dc.relation.ispartofseriesCDCSS; TR 2000-6en_US
dc.subjectalgorithmsen_US
dc.subjectcomputational complexityen_US
dc.subjectsmart actuatoren_US
dc.subjectcomputational micromagneticsen_US
dc.subjectdemagnetizing fielden_US
dc.subjectmultipole approximationen_US
dc.subjecthysteresisen_US
dc.subjectIntelligent Control Systemsen_US
dc.titleFast Evaluation of Demagnetizing Field in Three Dimensional Micromagnetics using Multipole Approximationen_US
dc.typeTechnical Reporten_US

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