Design of an elliptical permanent magnet for surface magnetic resonance imaging

Ciarrocchi, M; Miccoli, V Di; Alecci, Marcello; Sotgiu, A.; Galante, A.

doi:10.1088/0957-0233/20/1/017002

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…This section presents the step integration used when integrating Eqs. (14), (17), and (20). For the purpose of generality, the following step integration is carried out for two key components (Eqs.…”

Section: Appendix a Integration Stepmentioning

confidence: 99%

“…Elliptical gears have been found to acquire great efficiency in motion and power transmission solutions [17][18][19]; hence, the magnetic field distribution and application of a permanent magnet with elliptical profiles could be of great interest [9]. Moreover, a fast-computed model to calculate the magnetic field could facilitate the design process of an elliptical permanent magnet used for surface magnetic resonance imaging [20], a novel magnetic coupler [21], the design of permanent magnetic gears [7], and couplings [8] with elliptical profiles as well as a non-contact cam mechanism [22] using an axially magnetised driver with an elliptical profile. Furthermore, for educational purposes, this research would assist students in understanding the magnetic field distribution of the elliptical cylinder permanent magnet as an example beyond the common permanent magnets in cuboid, ring, and circular cylindrical shapes, which are commonly found in textbooks [3].…”

Section: Introductionmentioning

confidence: 99%

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Magnetic Field Distribution of an Elliptical Permanent Magnet

Nguyen¹,

Lu²,

Robertson³

et al. 2019

PIER C

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The magnetic field distribution of an axially magnetised cylinder with an elliptical profile is analytically modelled and analysed in this paper. An accurate and fast-computed semi-analytical model is developed, based on the charge model and geometrical analysis, to compute three components of the magnetic field generated by this elliptical cylinder in three-dimensional space. The accuracy of the model is verified using Finite Element Analysis. The analytical expressions are efficient for calculating the implementation of the magnetic field, taking less than one millisecond to execute on a modern PC. Using the fast-computed analytical model, the distribution of the magnetic field of an axially magnetised cylinder with different elliptical profiles is studied and compared with that of a circular cylinder. The variations in magnetic field strength of axial, azimuthal and radial components can be used in novel sensing applications. The derived analytical model can be extended to calculate the magnetic field of arc-shaped elliptical and circular cylinders with axial magnetization, which can be used in Halbach arrangements.

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Section: Appendix a Integration Stepmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetic Field Distribution of an Elliptical Permanent Magnet

Nguyen¹,

Lu²,

Robertson³

et al. 2019

PIER C

View full text Add to dashboard Cite

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Analytical computation of the magnetic field of a conical permanent magnet with arbitrarily uniform magnetization

Nguyen

2020

AIP Advances

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This study presents a fast-computed analytical model to compute the magnetic field generated by a cone with arbitrarily uniform magnetization. Based on the charge model, algebraic and geometrical analyses, the analytical expressions of the axial, azimuthal, and radial components of the magnetic field produced by the cone at any given point in space are derived. The model was in excellent agreement with the Finite Element Model (FEM), as is proved in this research. It is demonstrated that it took an average of less than 1 ms to execute each expression at a single point on the modern personal computer, whereas the FEM simulation consumed 779 s. Moreover, using the developed model, the magnetic field distribution of a cone used in magnetic resonance imaging with varying magnetization is analyzed. As a result, the distributions of the axial and radial components are a cosine-like wave with opposite directions, except for the case where the slope angle of the magnetization is equal to π/2; or, in other words, the magnetization is axial. On the other hand, the distribution of the azimuthal component is a sine-like wave, except for the noted case where the magnetization is axial.

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