An algorithm to extract effective magnetic parameters of thin film with in-plane uniaxial magnetic anisotropy

Abstract

Articles you may be interested inEffects of radio-frequency noise suppression on the microstrip line using FeCoNiB soft magnetic thin films J. Appl. Phys. 113, 043922 (2013); 10.1063/1.4789607 Combination of ultimate magnetization and ultrahigh uniaxial anisotropy in CoFe exchange-coupled multilayersThe calculation of high frequency complex permeability of thin ferromagnetic film requires the measured values of its saturation magnetization, anisotropic magnetic field intensity, resistivity, and thickness. It is often observed that the calculated permeability using the Landau-Lifshitz-Gilbert ͑LLG͒ theory does not agree well with the measured permeability of thin film with in-plane uniaxial magnetic anisotropy, owing to the measured anisotropic magnetic field intensity, saturation magnetization, etc., are not effective values at high frequency. In this work, the Landau-Lifshitz ferromagnetic resonance model is modified to take the skin depth effect into consideration. In the comparison study, its calculated magnetic permeability curves ͑real and imaginary͒ agrees very well with those calculated from the LLG model. In addition, an algorithm process to extract effective magnetic parameters ͑saturation magnetization M s , magnetic anisotropy field H a , and damping factor ␣͒ has been developed. The algorithm process has been tested for the reported magnetic permeability curves of two magnetic films ͑Si/NiFe/FeCoB and CoZrRe͒. The extracted parameters are well agreed with those reported. It is also reported that the consideration of skin depth effect is necessary for samples with lower electrical resistivity.