Numerical micromagnetic techniques and their applications to magnetic force microscopy calculations

Oti, J.O.; Rice, Paul

doi:10.1109/20.281016

Cited by 16 publications

(12 citation statements)

References 28 publications

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“…The dimensions of the triangles in Ref. 3 were smaller than typically found on a tip face. Two contradictory criteria lead to this compromise: the requirement for a detailed mesh near the tip apex for the accurate simulation of MFM images; the computational restriction of a manageable number of elements in the mesh.…”

Section: Micromagnetic Modelmentioning

confidence: 97%

“…Previous approaches have used fast Fourier transforms ͑FFT͒ and treated the integration as a convolution of the magnetization and the geometric terms ͑Green's functions͒ to improve speed. [3][4][5] However, FFTs require a cubic mesh with consistent element dimensions. Thus to use FFTs in this case would necessitate an interpolation of the actual adjustable mesh onto the cubic mesh.…”

Section: Micromagnetic Modelmentioning

confidence: 99%

“…Micromagnetic models have been used for some time to study magnetic thin films. [1][2][3][4][5][6][7] The existence of a generalized three-dimensional model will allow the design and optimization of the tip to produce improved resolution or tailored stray field magnitude, thus avoiding perturbation of magnetically soft samples. 2 In this work, such a numerical micromagnetic model has been developed.…”

Section: Introductionmentioning

confidence: 99%

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Micromagnetic model for magnetic force microscopy tips

Tomlinson

Farley

1997

Journal of Applied Physics

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Section: Micromagnetic Modelmentioning

confidence: 97%

Section: Micromagnetic Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Micromagnetic model for magnetic force microscopy tips

Tomlinson

Farley

1997

Journal of Applied Physics

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“…It is considered that an external magnetic field created by the tip does not influence the sample magnetization, and vice versa. The magnetization structure of the tip and the sample depends on the geometry, magnetic properties and magnetic prehistory of each object and can be calculated in terms of the micromagnetic theory [8,9]. To calculate the gradient, magnetic capacities of the tip and the sample are divided into physically small areas.…”

Section: Introductionmentioning

confidence: 99%

The Computer Analysis of MFM Images of Separate Ferromagnetic Nanoparticles

Ovchinnikov¹,

Бухараев²

2003

AIP Conference Proceedings

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A computer analysis of MFM images of separate ferromagnetic single-domain nanoparticles placed on a nonmagnetic substrate was carried out. The shape of an MFM tip and the trajectory of its movement were taken into account. The aureoles were found in the magnetic contrast of MFM images simulated for the lifting mode. The conditions and the reasons of the appearance of these aureoles were discussed.

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“…One approach divides the magnetic coated or massive tip into cubic elements (Mansuripur, 1989). In further numerical models the magnetization distribution of the tip has been calculated by a 2D triangular structure (Oti, 1993) or using a 3D model (Tomlinson and Farley, 1997). These approaches are based on the Landau-Lifshitz-Gilbert equation.…”

Section: Introductionmentioning

confidence: 99%

Numerical computation of magnetic fields applied to magnetic force microscopy

Preisner

Greiff

Bala

et al. 2009

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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PurposeThe purpose of this paper is to introduce a method which allows the calculation of the interactions of tip and sample of a magnetic force microscope as a first step to increase the accuracy of this technique.Design/methodology/approachThe emerging magnetic interactions between the cantilever tip and an arbitrary magnetized sample can be evaluated by the use of several numerical methods. For modelling this magnetically and mechanically coupled multiscale problem the finite element method is implemented.FindingsThe evaluated magnetic fields interact in such a manner that a constructive overlap at the tip apex occurs. This leads to attractive forces acting on the cantilever.Research limitations/implicationsIn order to include the magneto‐mechanical coupling, the implementation of a detailed force calculation is necessary. Furthermore, a hysteresis model is not yet considered.Practical implicationsMagnetic force microscopy is a very sensitive technique. For instance, ideally the end of the tip consists of only one atom, but this is not realizable. Measurement errors cannot be avoided. This approach is the first step in developing an opportunity to soften them.Originality/valueOne opportunity to verify real‐time magnetic force microscope measurements is the comparison with theoretical considerations and calculations of the occurring magnetic distribution by using this technique. For this reason this paper deals with a new micromagnetic model to simulate the interactions between tip and sample of a scanning process of a magnetic force microscope.

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Numerical micromagnetic techniques and their applications to magnetic force microscopy calculations

Cited by 16 publications

References 28 publications

Micromagnetic model for magnetic force microscopy tips

Micromagnetic model for magnetic force microscopy tips

The Computer Analysis of MFM Images of Separate Ferromagnetic Nanoparticles

Numerical computation of magnetic fields applied to magnetic force microscopy

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