Studying Magnetization Distribution in Magnetic Thin Films under Transversal Application of Magnetic Fields

References

[1] L. Landau and E. Lifshits, “On the Theory of the Disper-sion of Magnetic Permeability in Ferromagnetic Bodies,” Physikalische Zeitschrift der Sowjetunion, Vol. 8, 1935, pp. 153-169.

[2]
L. Landau and E. Lifshits, “On the Theory of the Disper-sion of Magnetic Permeability in Ferromagnetic Bodies,” Ukrainian Journal of Physics, Special Issue, Vol. 53, 2008, pp. 14-22.

[3]
J. Li, “A Two-Dimensional Landau-Lifshitz Model in Studying Thin Film Micromagnetics,” Abstract and Ap-plied Analysis, Vol. 13, 2009.

[4]
J.-N. Li, X.-F. Wang and Z.-A. Yao, “An Extension Landau-Lifshitz Model in Studying Soft Ferromagnetic Films,” Acta Mathematicae Applicatae Sinica, English Series, Vol. 23, No. 3, 2007, pp. 421-432.

[5]
L. G. Korzunin, B. N. Filippov and F. A. Kassan-Ogly, “Dynamics of Vortex-like Domain Walls in Triaxial Magnetic Films with the Goss Orientation of the Sur-face,” Technical Physics, Vol. 52, No. 11, 2007, pp. 1453-1457.

[6]
B. N. Filippov and L. G. Korzunin, “Non-linear Dynam-ics of Domain Walls with Vortex-like Inner Structure in Magnetically-single-axis Films with Plane Anisotropy,” Journal of Experimental and Technical Physics, Moscow, Vol. 121, No. 2, 2002, pp. 372-387.

[7]
P. L. Sulem, C. Sulem and C. Bardos, “On the Continu-ous Limit for a System of Classical Spins,” Communica-tions in Mathematical Physics, Vol. 107, No. 3, 1986, pp. 431-454.

[8]
W. E and X.-P. Wang, “Numerical Methods for the Lan-dau-Lifshitz Equation” SIAM Journal on Numerical Analysis, Vol. 38, No. 5, 2000, pp. 1647-1665.

[9]
A. DeSimone, R. V. Kohn, S. Müller and F. Otto, “A Reduced Theory for Thin-Film Micromagnetics,” Com-munications on Pure and Applied Mathematics, Vol. 55, No. 11, 2002, pp. 1408-1460.

[10]
A. DeSimone, R. V. Kohn, S. Müller, F. Otto and R. Schäfer, “Two-Dimensional Modelling of Soft Ferro-magnetic Films,” Proceedings of the Royal Society of London, Series A, Vol. 457, No. 2016, 2001, pp. 2983- 2991.

[11]
A. Aharoni, E. H. Frei and S. Shtrikman, “Theoretical Approach to the Asymmetrical Magnetization Curve,” Journal of Applied Physics, Vol. 30, No. 12, 1959, pp. 1956-1961.

[12]
N. M. Salansky and M. S. Eruchimov, “The Peculiarities of Spin-Wave Resonance in Films with Ferro-Antiferro-magnetic Interaction,” Thin Solid Films, Vol. 6, No. 2, 1970, pp. 129-140.

[13]
Y. V. Zakharov and E. A. Khlebopros, “Magnetization Curves and Frequencies of Magnetic Resonance in Films with Domain Structures on Anti-Ferromagnetic Substrate,” Solid State Physics, Moscow, Vol. 22, No. 12, 1980, pp. 3651-3657.

[14]
H. Bateman and A. Erd´elyi, “Higher Transcendental Functions,” McGraw-Hill, New York, Vol. 3, 1955.

[15]
M. Abramowitz and I. A. Stegun, Eds., “Handbook of Mathematical Functions with Formulas,” Graphs and Mathematical Tables, National Bureau of Standards in Applied Mathematics, Washington, 1964, p. 1058.

[16]
L. Collatz, “Eigenvalue Problems with Engineering Ap-plications,” Fizmatgiz, Moscow, 1968.

[17]
Y. V. Zakharov, “Static and Dynamic Instability of a Ferromagnetic Layer under Magnetic Reversal,” Doklady of Russian Academy of Science, Vol. 344, No. 3, 1995, pp. 328-332.

[18]
M. A. Lavrent’ev and A. Y. Ishlinskii, “Dynamic Buck-ling Modes of Elastic Systems,” Doklady Akademii Nauk USSR (Moscow), Vol. 64, No. 6, 1949, pp. 779-782.

[19]
Y. V. Zakharov and A. A. Zakharenko, “Dynamic Insta-bility in the Nonlinear Problem of a Cantilever,” Compu-tational Technologies, Vol. 4, No. 1, 1999, pp. 48-54.

[20]
M. Johnson, “Bipolar Spin Switch,” Science, Vol. 260 No. 5106, 1993, pp. 320-323.

[21]
D. J. Monsma, J. C. Lodder, T. J. A. Popma and B. Dieny, “Perpendicular Hot Electron Spin-Valve Effect in a New Magnetic Field Sensor: The Spin-Valve Transistor,” Phy- sical Review Letters, Vol. 74, No. 26, 1995, pp. 5260- 5263.

[22]
M. Johnson, “Spin Injector in Metal Films: The Bipolar Spin Transistor,” Materials Science and Engineering B, Vol. 31, 1995, pp. 199-205.

[23]
V. Y. Shur and E. L. Rumyantsev, “Kinetics of Ferro-electric Domain Structure during Switching: Theory and Experiment,” Ferroelectrics, Vol. 151, 1994, pp. 171-189.