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and numerical calculation. Figure 3: Discrete vortex gyration modes in a five disk array.
one cycle of gyration. In all of the FFTs, we applied the zero padding technique to obtain 5MHz resolution, except for the numerical calc.
(a) Frequency spectra obtained from the experimental Nike Metcon 2 Women Rose Gold
bottom row). (b) The trajectories of the vortex core motion under a pulsed magnetic field during the time period t = 0 60. 8ns. Dotted arrows indicate the sense of gyration of the individual cores. It has been reported that coupled gyrations in two dipolar coupled disks can be described by the superposition of the two normal modes32,35,36,38,39. Dipolar interaction between NN disks breaks the radial symmetry of the potential energy of each core, which depends on the disk pair's relative vortex state configuration (both the polarization and chirality ordering). Analogously, for the case of the five disk system used in this study, the beating patterns is the result of linear combinations of the five normal modes of coupled vortex gyration in the entire array [for more information, see Supplementary Information B]. Discrete wave modes of collective vortex gyrationTo illustrate the collective vortex gyration modes excited in the real sample, in Fig.
data, the micromagnetic simulation and the numerical calculation (FFTs of the numerically calculated oscillatory CnXn of the individual disks). The right column shows the numerically calculated frequency spectra for zero damping ( = 0). (b) Spatial distributions of the individual disks' core positions for the five discrete modes. The core trajectories are noted by the dashed lines inside the individual disks. Each dot on each trajectory represents the core position in the given disk. Just below each mode, the corresponding profile of the CnYn components is indicated by the solid line (for t = 0) or dotted line ( t = T/2 ), where is a time period for Nike Zoom Shoes For Women
3(a) we plot the frequency spectra (red circles) of core motions in the individual disks Nike Dunk Low Sb as obtained from fast Fourier transformation (FFT) of the core position vector Xn multiplied by Cn in the nth disk. We also compare the experimental results with micromagnetic simulation (green circles) for the five disk model system and numerical calculation (blue circles) based on five coupled linearized Thiele equations47 (see Supplementary Information A). Because of the intrinsic damping of core gyration in isolated disks, the peaks are broadened and overlapped with neighboring peaks to an extent, that they cannot be separated. Further deviations between the experimental data and micromagnetic simulations as well as numerical calculations can be attributed to sample imperfections and the chosen time steps (400 ps) between the snapshot images taken by STXM. Specifically, with regard to disks 2 and 4, only one peak of wide width appears in the experimental data whereas two peaks appear in the simulations and numerical data. In contrast, two clear peaks and a very weak third peak appear in disks 1 and 3, which is in quantitative agreement with the micromagnetic simulation Nike Hyperlive Wolf Grey
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