Summary
The development of advanced magnetic materials such as magnetic sensors, recording heads, and magneto-mechanic devices requires a precise understanding of the magnetic behavior. As the size of the magnetic components approach the nanometer regime, detailed predictions of the magnetic properties becomes possible using micromagnetic simulations. Micromagnetics combines Maxwell’s equations for the magnetic field with an equation of motion describing the time evolution of the magnetization. The local arrangement of the magnetic moments follows from the complex interaction between intrinsic magnetic properties such as the magnetocrystalline anisotropy and the physical/chemical microstructure of the material.
This paper reviews the basic numerical methods used in finite element micromagnetic simulations and presents numerical examples in the field of soft magnetic sensor elements, polycrystalline thin film elements, and magnetic nanowires.
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References
Aharoni A. (1996) Introduction to the Theory of Ferromagnetism. Oxford University Press, New York
Dahlberg, E. D., Zhu, J. G. (1995) Micromagnetic Microscopy and Modeling. Physics Today 48, 34–40
Schabes, M. E., Fullerton, E. E., Margulies, D. T. (2001) Theory of Antiferromagnetically Coupled Magnetic Recording Media. J. Appl. Phys., in press
Johnson, M. (2000) Magnetoelectronic memories last and last …. IEEE Spectrum 37, 33–40
Brown Jr., W. F. (1963) Micromagnetics, Interscience, New York
Kinderlehrer, D., Ma, L. (1994) Computational Hysteresis in Modeling Magnetic Systems. IEEE Trans. Magn. 30, 4380–4382
He L., Doyle W. D. et al. (1996) High-speed switching in magnetic recording media. J. Magn. Magn. Mat. 155, 6–12
Akagi F., Nakamura A. et al. (2000) Computer Simulation of Magnetization Switching Behavior in High-Data-Rate Hard-Disk Media Masukazu Igarashi, IEEE. Trans. Magn. 36, 154–158
Harrell, R. W. (2001) Orientation dependence of the dynamic coercivity of Stoner-Wohlfarth particles. IEEE Trans. Magn. 37, 533–537
Gilbert, T. L. (1955) A Lagrangian formulation of gyromagnetic equation of the magnetization field, Phys. Rev. 100, 1243
Chen, Q., Konrad, A. (1997) A review of finite element open boundary techniques for static and quasi-static electromagnetic field problems. IEEE Trans. Magn. 33, 663–676
Fredkin, D. R., Koehler, T. R. (1990) Hybrid method for computing demagnetizing fields. IEEE Trans. Magn. 26, 415–417
Bruaset, A. M. (1997) Krylov subspace iterations for sparse linear systems. In: Morten Daehlen, M., Tveito, A. (Eds.) Numerical Meth and Software Tools in Industrial Mathematics. Birkhauser, Boston, 21
Gadbois, J., and Zhu, J. G. (1995) Effect of Edge Roughness in Nano-Scale Magnetic Bar Switching. IEEE Trans. Magn. 31, 3802–3804
Toussaint, J. C., Kevorkian, B., Givord, D., and Rossignol, M. F. (1996) Micromagnetic Modeling of Magnetization Reversal in Permanent Magnets. In: Proceedings of the 9th International Symposium Magnetic Anisotropy and Coercivity In Rare-Earth Transition Metal Alloys, World Scientific, Singapore, 59–68
Yang, B., Fredkin, D.R. (1998) Dynamical micromagnetics by the finite element method. IEEE Trans. Magn. 34, 3842–3852
Cohen, S. D., and Hindmarsh, A. C. (1996) CVODE, A Stiff/Nonstiff ODE Solver in C. Computers in Physics, 10 138–143.
Saad, Y. (1996) Iterative methods for sparse linear systems, PWS Publishing Company, Boston
Kirk, K. J., Chapman, J. N., Wilkinson, C. D. W. (1997) Switching fields and magnetostatic interactions of thin film magnetic nanoelements. Appl. Phys. Lett. 71, 539–541
Rave, W., Ramstock, K., Hubert, A. (1998) Corners and Nucleation in Micromagnetics. J. Magn. Magn. Mater. 183, 329–333
Hertel, R., Kronmuller, H. (1998) Adaptive finite element mesh refinement techniques in three-dimensional micromagnetic modeling. IEEE Trans. Magn. 34, 3922–3930
Schrefl T., Forster H. et al. (2001) Micromagnetic Simulation of Switching Events, In: Kramer, B. (Ed.) Advances in Solid State Physics 41. Springer, Berlin Heidelberg, 623–635
Cowburn, R. P., Welland, M. E. (2000) Room temperature magnetic quantum cellular automata, Science 287, 1466–1468
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Schrefl, T., Suess, D., Scholz, W., Forster, H., Tsiantos, V., Fidler, J. (2003). Finite Element Micromagnetics. In: Monk, P., Carstensen, C., Funken, S., Hackbusch, W., Hoppe, R.H.W. (eds) Computational Electromagnetics. Lecture Notes in Computational Science and Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55745-3_11
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DOI: https://doi.org/10.1007/978-3-642-55745-3_11
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