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Effective demagnetizing factors in ferromagnetic resonance equations
Institution:1. Spin Convergence Research Center, Korea Institute of Science and Technology, Seoul 136-791, Republic of Korea;2. Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. Department of Physics, Xiamen University, Xiamen 361005, China;2. Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China;3. Collaborative Innovation Centre for Optoelectronic Semiconductors and Efficient Devices, Xiamen University, Xiamen 361005, China;4. Key Laboratory of Low Dimensional Condensed Matter Physics, Department of Education of Fujian Province, Xiamen University, Xiamen 361005, China;1. School of Information Science and Technology, ShanghaiTech University, Shanghai, China;2. Shanghai Institute of Microsystems and Information Technology, Chinese Academic of Sciences, Shanghai, China;3. University of Chinese Academy of Sciences, Shanghai, China
Abstract:A simple method of deriving effective demagnetizing factors (Nxe,Nye) for the use of Kittel's ferromagnetic resonance formula is reported. The effective demagnetizing factors are expressed by an anisotropy energy (G) and a static field direction (θ,φ). By this derivation method, the resonance equations of thin films having a uniaxial or a four-fold anisotropy are obtained when a static field is rotated in the film plane. Six arrangements are calculated: (1) perpendicular anisotropy, (2) in-plane anisotropy, (3) cubic-crystal (0 0 1) face, (4) cubic-crystal (0 1 1) face, (5) cubic-crystal (1 1 1) face, and (6) oblique anisotropy films.
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