Spin Wave Transport in Magnetic Multilayer
Date Issued
2009
Date
2009
Author(s)
Wu, Chih-Wei
Abstract
This thesis is intended studying the spin wave transport in the magnetic multilayer. First we divided the analyzed problems into four regions since the magnitude of the wave vector. At the microscopic viewpoint, we through that spins with nearest-neighbor spins coupled by the Heisenberg interaction to analyze the ferromagnetic material and derive the dispersion relation. In the exchange region, we use the Landau-Lifshitz equation to solve the dynamic magnetization in the ferromagnetic material. In the magnetostatic region, we can use the magnetostatic form of Maxwell equations to do analysis and derive the dispersion relation. In the last, we further analysis the problems of ferromagnetic waveguide with surfaces and periodic structure with interfaces. In the ferromagnetic waveguide, we derived the potential function of the external magnetic field perpendicular to the ferromagnetic material plane and parallel to the ferromagnetic material plane. Through the numerical analysis to know that when the external magnetic field parallel to the ferromagnetic material plane then the potential function on the boundary will be differential discontinuous. In the periodic structure side, we derived the dispersion relation of the ferromagnetic/ferromagnetic structure and the ferromagnetic/non-magnetic structure. Also through the numerical analysis we can figure out the change of band structure.
Subjects
magnon
spin wave
exchange effect
magnetostatic mode
Landau-Lifshitz equation
dispersion relation
potential function
band structure
Type
thesis
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