Eddy currents in a gradient coil, modeled by rings and patches

J.M.B. Kroot; S.J.L. van Eijndhoven; A.A.F. van de Ven

doi:10.1109/WCACEM.2005.1469596

Eddy currents in a gradient coil, modeled by rings and patches

J.M.B. Kroot, S.J.L. van Eijndhoven, A.A.F. van de Ven

Center for Analysis, Scientific Computing and Applications

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

The gradient coils of an MRI-scanner can be modeled by a surface current on a cylinder. A good approximation of the surface current in the z-coil is obtained from a set of rings and patches on the cylinder. In this paper, an integral equation is derived for the current distribution. To solve this integral equation, the Galerkin method is applied, using global expansion functions. We show that Legendre polynomials are an appropriate choice for the expansion functions. They provide fast convergence. So, only a restricted number of Legendre polynomials is needed. Moreover, an analytical solution is derived, which results in efficient simulations.

Original language	English
Title of host publication	Proceedings 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	341-344
Number of pages	4
ISBN (Print)	0-7803-9068-7
DOIs	https://doi.org/10.1109/WCACEM.2005.1469596
Publication status	Published - 2005
Event	International Conference on Wireless Communications and Applied Computational Electromagnetics - Honolulu, United States Duration: 3 Apr 2005 → 7 Apr 2005

Conference

Conference	International Conference on Wireless Communications and Applied Computational Electromagnetics
Country/Territory	United States
City	Honolulu
Period	3/04/05 → 7/04/05

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10.1109/WCACEM.2005.1469596

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Kroot, J. M. B., van Eijndhoven, S. J. L., & van de Ven, A. A. F. (2005). Eddy currents in a gradient coil, modeled by rings and patches. In Proceedings 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics (pp. 341-344). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/WCACEM.2005.1469596

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title = "Eddy currents in a gradient coil, modeled by rings and patches",

abstract = "The gradient coils of an MRI-scanner can be modeled by a surface current on a cylinder. A good approximation of the surface current in the z-coil is obtained from a set of rings and patches on the cylinder. In this paper, an integral equation is derived for the current distribution. To solve this integral equation, the Galerkin method is applied, using global expansion functions. We show that Legendre polynomials are an appropriate choice for the expansion functions. They provide fast convergence. So, only a restricted number of Legendre polynomials is needed. Moreover, an analytical solution is derived, which results in efficient simulations.",

author = "J.M.B. Kroot and {van Eijndhoven}, S.J.L. and {van de Ven}, A.A.F.",

year = "2005",

doi = "10.1109/WCACEM.2005.1469596",

language = "English",

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pages = "341--344",

booktitle = "Proceedings 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics",

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address = "United States",

note = "International Conference on Wireless Communications and Applied Computational Electromagnetics ; Conference date: 03-04-2005 Through 07-04-2005",

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Kroot, JMB, van Eijndhoven, SJL & van de Ven, AAF 2005, Eddy currents in a gradient coil, modeled by rings and patches. in Proceedings 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics. Institute of Electrical and Electronics Engineers, Piscataway, pp. 341-344, International Conference on Wireless Communications and Applied Computational Electromagnetics, Honolulu, Hawaii, United States, 3/04/05. https://doi.org/10.1109/WCACEM.2005.1469596

Eddy currents in a gradient coil, modeled by rings and patches. / Kroot, J.M.B.; van Eijndhoven, S.J.L.; van de Ven, A.A.F.
Proceedings 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics. Piscataway: Institute of Electrical and Electronics Engineers, 2005. p. 341-344.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Eddy currents in a gradient coil, modeled by rings and patches

AU - Kroot, J.M.B.

AU - van Eijndhoven, S.J.L.

AU - van de Ven, A.A.F.

PY - 2005

Y1 - 2005

N2 - The gradient coils of an MRI-scanner can be modeled by a surface current on a cylinder. A good approximation of the surface current in the z-coil is obtained from a set of rings and patches on the cylinder. In this paper, an integral equation is derived for the current distribution. To solve this integral equation, the Galerkin method is applied, using global expansion functions. We show that Legendre polynomials are an appropriate choice for the expansion functions. They provide fast convergence. So, only a restricted number of Legendre polynomials is needed. Moreover, an analytical solution is derived, which results in efficient simulations.

AB - The gradient coils of an MRI-scanner can be modeled by a surface current on a cylinder. A good approximation of the surface current in the z-coil is obtained from a set of rings and patches on the cylinder. In this paper, an integral equation is derived for the current distribution. To solve this integral equation, the Galerkin method is applied, using global expansion functions. We show that Legendre polynomials are an appropriate choice for the expansion functions. They provide fast convergence. So, only a restricted number of Legendre polynomials is needed. Moreover, an analytical solution is derived, which results in efficient simulations.

U2 - 10.1109/WCACEM.2005.1469596

DO - 10.1109/WCACEM.2005.1469596

M3 - Conference contribution

SN - 0-7803-9068-7

SP - 341

EP - 344

BT - Proceedings 2005 IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - International Conference on Wireless Communications and Applied Computational Electromagnetics

Y2 - 3 April 2005 through 7 April 2005

ER -

Eddy currents in a gradient coil, modeled by rings and patches

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