Abstract
In Chapter 4 we solved for the magnetostatic modes in a variety of geometries. These geometries were characterized by simple boundary shapes, uniform bias fields, and uniform materials. In some cases, however, material and field nonuniformities may be needed to control the dispersion or to guide and localize the magnetostatic mode energy. In other cases the effects of undesired inhomogeneities need to be assessed. Such problems are not easily attacked by the classical boundary value techniques used in Chapter 4. Consequently, this chapter is devoted to a variational approach capable of treating arbitrary inhomogeneities in a relatively simple and elegant way.
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Bibliography
Calculus of Variations
Goldstein, H., Classical Mechanics, 2d ed. (Addison-Wesley, Reading, MA, 1980).
Mathews, J., and R. L. Walker, Mathematical Methods of Physics (W. A. Benjamin Inc., Menlo Park, CA, 1970).
Energy and Quasi-Particle Expressions for Magnetostatic Modes
Morgenthaler, F. R., “Dynamic magnetoelastic coupling in ferromagnets and antiferromagnets,” IEEE Trans. Magn., MAG-8, p. 130 (1972).
Morgenthaler, F. R., “Control of magnetostatic waves in thin films by means of spatially nonuniform bias fields,” Circuits Systems Signal Process, 4, p.63 (1985).
Variational Formulation Used in this Chapter
Brown, W. F., Jr., Micromagnetics, Interscience Tracts on Physics and Astronomy No. 18, R. E. Marshak, Ed. (Interscience Publishers, New York, 1963).
Buris, N. E., and D. D. Standi, “Magnetostatic surface-wave propagation in ferrite thin films with arbitrary variations of the magnetization through the film thickness,” IEEE Trans. Microwave Theory Tech., MTT-33, p. 484 (1985).
Buris, N. E., and D. D. Standi, “Magnetostatic volume modes of ferrite thin films with magnetization inhomogeneities through the film thickness,” IEEE Trans. Microwave Theory Tech., MTT-33, p. 1089 (1985).
Buris, N. E., and D. D. Standi, “Magnetostatic backward waves in low dose ion implanted YIG films,” IEEE Trans. Magn., MAG-22, p. 859 (1986).
Standi, D. D., “Variational formulation of magnetostatic wave dispersion relations,” IEEE Trans. Magn., MAG-19, p. 1865 (1983).
Other Variational Formulations and Applications of the Finite Element Method
Tsutsumi, M.,Y. Masaoka, T. Ohira, and N. Kumagai, “A new technique for magnetostatic wave delay lines,” IEEE Trans. Microwave Theory Tech., MTT-29, p. 583 (1981).
Sawado, E., and N. S. Chang, “Variational approach to analysis of propagation of magnetostatic waves in highly inhomogeneously magnetized media,” J. Appl. Phys., 55, p. 1062 (1984).
Long, Y., M. Koshiba, and M. Suzuki, “Finite-element solution of planar inhomogeneous waveguides for magnetostatic waves,” IEEE Trans. Microwave Theory Tech., MTT-35, p. 731 (1987).
Koshiba, M., and Y. Long, “Finite-element analysis of magnetostatic wave propagation in a YIG film of finite dimensions,” IEEE Trans. Microwave Theory Tech., MTT-37, p. 1768 (1989).
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© 1993 Springer-Verlag New York, Inc.
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Stancil, D.D. (1993). Variational Formulation for Magnetostatic Modes. In: Theory of Magnetostatic Waves. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9338-2_6
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DOI: https://doi.org/10.1007/978-1-4613-9338-2_6
Publisher Name: Springer, New York, NY
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