Magnon Modes of a Gyrotropic Magnetic Bar.
CALIFORNIA UNIV IRVINE DEPT OF PHYSICS
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We present a theory of magnetostatic modes which are wavelike in the direction parallel to the axis of an infinitely long, ferromagnetic bar of square cross-section, and localized at its surface. we solve second order partial differential equations for the magnetic scalar potential by assuming a solution for phi of the form phir, theta, z expiqz fr, theta. We expand fr, theta in terms of basis functions which transform according to the irreducible representations of C4 the proper point group of the bar. The boundary conditions of continuity of phi and Bn across the surface of the bar therefore need to be applied at only one of the four faces of the bar and are automatically satisfied at the remaining faces. This is done by making phi and Bn continuous at a discrete set of points along this face. The solvability condition for the resulting set of homogeneous equations for the expansion coefficients in the expressions for phi yields the dispersion curves for the magnetostatic surface modes. We also present the dispersion curves for the magnetostatic surface modes for a gyrotropic right circular cylinder. Author
- Electricity and Magnetism