Volume average demagnetizing tensor of rectangular prisms

Fukushima, Hiroshi; Nakatani, Yoshinobu; Hayashi, N.

doi:10.1109/20.650225

Cited by 69 publications

(41 citation statements)

References 7 publications

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“…1. In addition, we have included the values predicted by the magnetometric approach [5], which assumes a uniform magnetization, but averages the demagnetization field to arrive at overall demagnetization factors. As shown in Fig.…”

Section: Fig 1 Shows the Measured Hard-axis B-h Loops For Three Pattmentioning

confidence: 99%

“…The well-known perturbation theoretical calculations in the literature [4], however, assume a large, additionally applied DC magnetic field, which cannot be realized in IC applications. The magnetometric approximation [5], on the other hand, does not use a DC field, but assumes a uniform magnetization in the whole sample. This approach looses its validity in on-chip designs were nonellipsoidal (rectangular) samples are used.…”

Section: Introductionmentioning

confidence: 99%

“…The energy functional (3) can be discretized by dividing the sample into rectangular prisms of equal size. Assuming a constant magnetization within each cell and neglecting the nondiagonal components of the demagnetization fields, the energy functional can then be written as (5) where denotes the magnetization in the th cell, and and are the magnetometric demagnetization tensors representing the (averaged) demagnetization field in the cell arising from the magnetization of the cell [5]. Equation (5) was numerically minimized under the constraint for various patterned samples.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of Shape Anisotropy for Micropatterned Thin Fe–Ni Films for On-Chip RF Applications

et al. 2004

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Abstract-We present a self-consistent calculation of the effective anisotropy of patterned, integrated ferromagnetic films. For comparison, experimental data were obtained from electroplated thin (0.5 m) Ni-Fe films with different patterns. The effective anisotropy of patterned samples was increased by shape demagnetizing effects from just 10 Oe up to 100 Oe. The samples with suitable characteristics were subsequently used as cores for on-chip inductors and microstrips.

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Section: Fig 1 Shows the Measured Hard-axis B-h Loops For Three Pattmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Calculation of Shape Anisotropy for Micropatterned Thin Fe–Ni Films for On-Chip RF Applications

et al. 2004

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“…The demagnetizing field is calculated by using the surface charge model 42) . The demagnetizing field acting on one calculation cell is the sum of the magnetic fields from the magnetic charges appearing on all the cells (Eq.…”

Section: Calculation Conditions and Magnetic Simulation Modelmentioning

confidence: 99%

Fast Micromagnetic Simulation of Vortex Core Motion by GPU

Sato

Nakatani

2011

J. Magn. Soc. Jpn.

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Micromagnetic simulation has been used to calculate magnetization distribution and dynamics in nanoscale magnetic materials. A method reducing the calculation time is needed because it requires prolonged periods for calculation. We propose a method of calculation to reduce the calculation time with a graphics processing unit (GPU). The speed with the proposed method is fifteen times faster than that with the conventional one with a CPU at maximum. Because a GPU has very fast single precision calculation units and relatively slow double precision calculation units, it is necessary to use single precision units for fast calculation with a GPU. The difference between the results of one calculation with single and double precision units is very small. However, this difference accumulates in simulations. There is a possibility the results may change due to this difference. This effect is investigated with static and dynamic simulations with a vortex structure in a nanodot. The relative differences in static and dynamic calculations are 10 -6 and 0.04, respectively. These differences are sufficiently small for practical simulations. Therefore, a method with a GPU is useful to obtain micromagnetic simulations of vortex core motion.

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“…[21][22][23] The stray field is obtained directly using volume (micromagnetic cell) averaged expressions. 24 Calculation time is reduced by computing the stray field from farther cells as the field due to a larger effective cell whose magnetization is the average of the small contained ones. 25 The exchange field is obtained using a six-neighbor scheme with appropriate boundary conditions.…”

mentioning

confidence: 99%