Variational Formulation for Magnetostatic Modes
In Chapter 5, 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 non-uniformities 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 5. Consequently, this chapter is devoted to a variational approach capable of treating arbitrary inhomogeneities in a relatively simple and elegant way.
KeywordsVariational Formulation Ground Plane Lagrangian Density Volume Wave Natural Boundary Condition
Unable to display preview. Download preview PDF.
- W. F. Brown Jr., Micromagnetics, ser. Interscience Tracts on Physics and Astronomy. New York: Interscience Publishers, 1963, vol. 18.Google Scholar
- J. Matthews and R. L. Walker, Mathematical Methods of Physics. Menlo Park, CA: W. A. Benjamin Inc., 1970.Google Scholar
- H. Goldstein, C. P. Poole, and J. L. Safko, Classical Mechanics, 3rd ed. Cambridge, MA: Addison-Wesley, 2001.Google Scholar