An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design

So Noguchi; Ryosuke Miyao; Hajime Igarashi; Atsushi Ishiyama

doi:10.1109/CEFC.2016.7816056

An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design

So Noguchi, Ryosuke Miyao, Hajime Igarashi, Atsushi Ishiyama

School of Advanced Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

When designing an MRI magnet, its field homogeneity is evaluated by higher-order coefficients of the Legendre polynomial expression than 0th. Recently, the development of ultra-high-field (∼10 T) MRI magnet wound with REBCO tapes is underway. REBCO tapes are flat, and its current-carrying region is very narrow compared to its cross section. However, to compute the higher-order coefficients for MRI REBCO magnet is a labor task because the current-carrying region is discretely arranged. In this paper, we propose an accelerated method of computing the higher-order coefficients of the Legendre polynomials for MRI REBCO magnet design using a shift operator.

Original language	English
Title of host publication	IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509010325
DOIs	https://doi.org/10.1109/CEFC.2016.7816056
Publication status	Published - 2017 Jan 12
Event	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Miami, United States Duration: 2016 Nov 13 → 2016 Nov 16

Other

Other	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
Country/Territory	United States
City	Miami
Period	16/11/13 → 16/11/16

Keywords

Legendre polynomial
MRI design
REBCO tape
Shift operator

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Electrical and Electronic Engineering

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10.1109/CEFC.2016.7816056

Cite this

An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design. / Noguchi, So; Miyao, Ryosuke; Igarashi, Hajime et al.

IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. Institute of Electrical and Electronics Engineers Inc., 2017. 7816056.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Noguchi, S, Miyao, R, Igarashi, H & Ishiyama, A 2017, An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design. in IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation., 7816056, Institute of Electrical and Electronics Engineers Inc., 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016, Miami, United States, 16/11/13. https://doi.org/10.1109/CEFC.2016.7816056

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abstract = "When designing an MRI magnet, its field homogeneity is evaluated by higher-order coefficients of the Legendre polynomial expression than 0th. Recently, the development of ultra-high-field (∼10 T) MRI magnet wound with REBCO tapes is underway. REBCO tapes are flat, and its current-carrying region is very narrow compared to its cross section. However, to compute the higher-order coefficients for MRI REBCO magnet is a labor task because the current-carrying region is discretely arranged. In this paper, we propose an accelerated method of computing the higher-order coefficients of the Legendre polynomials for MRI REBCO magnet design using a shift operator.",

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N2 - When designing an MRI magnet, its field homogeneity is evaluated by higher-order coefficients of the Legendre polynomial expression than 0th. Recently, the development of ultra-high-field (∼10 T) MRI magnet wound with REBCO tapes is underway. REBCO tapes are flat, and its current-carrying region is very narrow compared to its cross section. However, to compute the higher-order coefficients for MRI REBCO magnet is a labor task because the current-carrying region is discretely arranged. In this paper, we propose an accelerated method of computing the higher-order coefficients of the Legendre polynomials for MRI REBCO magnet design using a shift operator.

AB - When designing an MRI magnet, its field homogeneity is evaluated by higher-order coefficients of the Legendre polynomial expression than 0th. Recently, the development of ultra-high-field (∼10 T) MRI magnet wound with REBCO tapes is underway. REBCO tapes are flat, and its current-carrying region is very narrow compared to its cross section. However, to compute the higher-order coefficients for MRI REBCO magnet is a labor task because the current-carrying region is discretely arranged. In this paper, we propose an accelerated method of computing the higher-order coefficients of the Legendre polynomials for MRI REBCO magnet design using a shift operator.

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An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design

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Keywords

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