3D simulation of superconducting magnetic shields and lenses using the fast Fourier transform

Prigozhin, Leonid

doi:10.1063/1.5027592

Cited by 10 publications

(8 citation statements)

References 22 publications

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“…Our work presents a simple but, nevertheless, efficient FFT-based alternative to these methods. Developed first for 2D film magnetization problems in [21,22], the method was modified and extended to 3D bulk magnetization problems in our works [23,27]. Here we adapted the FFT-based method to stacks of superconducting films, a perspective replacement of bulk superconductors in many practical applications.…”

Section: Discussionmentioning

confidence: 99%

“…Our attempt to solve the stack benchmark problem using the 3D FFT-based method for bulk superconductors [23,27] was unsuccessful: it was difficult to obtain an accurate solution with resistivity in the z-axis direction fully suppressing the corresponding current density component. Much better result was obtained using a different approach, suggested for twodimensional stack problems in [16].…”

Section: The Benchmark Problemmentioning

confidence: 99%

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Solution of 3D magnetization problems for superconducting film stacks

Prigozhin

2018

Supercond. Sci. Technol.

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A stack of coated conductors is a perspective configuration for various applications of high temperature superconductors. We present an efficient fast Fourier transform-based numerical method for magnetization problems for a stack of flat films of the same (arbitrary) shape and compare it with the recently proposed finite element methods. For stacks containing a large number of densely packed films an accurate solution can be obtained as a properly rescaled solution for a stack of only several films. For an infinite stack the problem simplifies and becomes similar to that for a single film.

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Section: Discussionmentioning

confidence: 99%

Section: The Benchmark Problemmentioning

confidence: 99%

Solution of 3D magnetization problems for superconducting film stacks

Prigozhin

2018

Supercond. Sci. Technol.

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“…Such shields can be used in various engineering applications, including biomedical devices [1,5], space missions [6] or high-sensitivity instrumentation [7,8]. The exclusion of magnetic flux from the body of a superconductor forms also the basis of other applications, including magnetic cloaks [9], superconducting motors [10] and magnetic lenses [11,12]. Unlike soft ferromagnetic materials which are limited by their saturation magnetization (e.g.…”

Section: Introductionmentioning

confidence: 99%

Magnetic shielding of various geometries of bulk semi-closed superconducting cylinders subjected to axial and transverse fields

Fagnard

Vanderheyden

Pardo

et al. 2019

Supercond. Sci. Technol.

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We consider the properties of bulk superconductors to be used as low-frequency passive magnetic shields. Although remarkable shielding properties have been recently achieved using high-temperature superconductors of various kinds, one current issue is to assemble medium-size superconducting parts to obtain large superconducting volumes. The aim of the present work is to understand how hollow, semi-closed superconductors can be combined to improve the shielding properties over sizeable volumes. In axisymmetric superconducting geometries subjected to an axial field, 2D modelling can be used to understand important features of the shielding properties. When finite-size superconductors are subjected to a transverse field, 3D modelling must be used. In this work, we use 3D finite-element modelling with an A-f formulation to investigate various geometries in which a tube is closed by a superconducting element shaped like a disk, a cup, or another cup-shaped superconductor that is coaxial with the first. The simulations help in revealing the most performant configurations to use as a function of the geometry of the applied field. Under an axial field, the type of closing is found to be irrelevant and the key ingredient to improve the shielding factor is to reduce the average field in the opening plane, e.g. by using a thicker superconductor near the open end. Under a transverse field, the difference between the shielding properties arise from the different routes taken by flux lines to penetrate the shield. In particular, the presence of flux lines channelled through the gap between a tube and a cup-shaped sample surrounding the tube are detrimental to the shielding properties. The configurations where the tube surrounds the cup-shaped sample are found to yield much higher shielding factors, whose field dependence is further improved when the tube extends slightly beyond the end of the cup. The values of the shielding factors that can be reached under a transverse field of low amplitude are discussed by comparing them to those predicted for an ideal perfectly diamagnetic superconductor of similar dimensions.

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“…Transport current flow and self-generating magnetic field in superconducting slab have been under theoretical considerations since famous London brothers' paper [1] over decades [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The understanding of superconducting current flow in rectangular slab has direct impact on superconducting technology, because second generation high-temperature superconductors have a design in form of thin superconducting film deposited on a metallic substrate with shunting layers on both sides of the tape [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Cooper pair trajectories in superconducting slab at self-field conditions

Talantsev

Mataira

2021

Mod. Phys. Lett. B

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Dissipative-free electric current flow is one of the most fascinating and practically important properties of superconductors. Theoretical consideration of the charge carriers flow in infinitely long rectangular slab of superconductor in the absence of external magnetic field (so called, self-field) is based on an assumption that the charge carriers have rectilinear trajectories in the direction of the current flow whereas the current density and magnetic flux density are decaying towards superconducting slab with London penetration depth as characteristic length. Here, we calculate charge particle trajectories (as single electron/hole, as Cooper pair) at self-field conditions and find that charge carriers do not follow intuitive rectilinear trajectories along the slab surface, but instead ones have meander shape trajectories cross the whole thickness of the slab. Moreover, if the particle velocity is below some value, the charge moves in opposite direction to nominal current flow. This disturbance of the canonical magnetic flux density distribution and backward movement of Cooper pairs can be entire mechanism for power dissipation in superconductors.

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3D simulation of superconducting magnetic shields and lenses using the fast Fourier transform

Cited by 10 publications

References 22 publications

Solution of 3D magnetization problems for superconducting film stacks

Solution of 3D magnetization problems for superconducting film stacks

Magnetic shielding of various geometries of bulk semi-closed superconducting cylinders subjected to axial and transverse fields

Cooper pair trajectories in superconducting slab at self-field conditions

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