Wavelet Based Matrix Compression in Numerical Micromagnetics

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Magnetic sensors and magneto-mechanic devices consist of spatially distinct ferromagnetic parts. Modeling their functional behavior requires to take into account the magnetostatic interactions between the magnetic elements. A hybrid finite element / boundary element method is combined with a wavelet matrix compression technique to simulate magnetization reversal of an array of magnetic nano-elements. This novel method reduces the storage requirements and the CPU time while keeping a reasonable accuracy. The boundary element matrix shows a sparsity of 80% to 90% with a corresponding relative error of the magnetic properties in the range of 2% to 5%. The calculated switching field of elongated NiFe nano-elements depends on magnetic state of neighboring elements. The spread in the switching field agrees with experimental data obtained from Lorentz electron microscopy.

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Journal: TechConnect Briefs
Volume: Technical Proceedings of the 2000 International Conference on Modeling and Simulation of Microsystems
Published: March 27, 2000
Pages: 429 - 432
Industry sector: Sensors, MEMS, Electronics
Topic: Modeling & Simulation of Microsystems
ISBN: 0-9666135-7-0