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

So Noguchi, Ryosuke Miyao, Hajime Igarashi, Atsushi Ishiyama

    Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
    Title of host publicationIEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    ISBN (Electronic)9781509010325
    DOIs
    Publication statusPublished - 2017 Jan 12
    Event17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Miami, United States
    Duration: 2016 Nov 132016 Nov 16

    Other

    Other17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
    CountryUnited States
    CityMiami
    Period16/11/1316/11/16

    Fingerprint

    Legendre functions
    Legendre polynomial
    Magnetic resonance imaging
    Magnets
    magnets
    Polynomials
    Higher Order
    Coefficient
    coefficients
    Tapes
    tapes
    Shift Operator
    Homogeneity
    labor
    Cross section
    homogeneity
    Computing
    Personnel
    operators
    Design

    Keywords

    • Legendre polynomial
    • MRI design
    • REBCO tape
    • Shift operator

    ASJC Scopus subject areas

    • Computational Mathematics
    • Instrumentation
    • Electrical and Electronic Engineering

    Cite this

    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.. https://doi.org/10.1109/CEFC.2016.7816056

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

    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 proceedingConference 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
    Noguchi S, Miyao R, Igarashi H, Ishiyama A. An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design. In IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. Institute of Electrical and Electronics Engineers Inc. 2017. 7816056 https://doi.org/10.1109/CEFC.2016.7816056
    Noguchi, So ; Miyao, Ryosuke ; Igarashi, Hajime ; Ishiyama, Atsushi. / An accelerated computation method of Legendre polynomial coefficients for MRI REBCO magnet design. IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. Institute of Electrical and Electronics Engineers Inc., 2017.
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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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