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An algorithm to infer the central location of a solenoid coil for the mapping process based on harmonic analysis

조화해석 기반의 맵핑을 위한 솔레노이드 코일의 중심위치 추론 알고리즘

  • Received : 2012.01.27
  • Accepted : 2012.03.13
  • Published : 2012.03.31

Abstract

Shimming, active and/or passive, is indispensable for most MR (magnetic resonance) magnets where homogeneous magnetic fields are required within target spaces. Generally, shimming consists of two steps, field mapping and correcting of fields, and they are recursively repeated until the target field homogeneity is reached. Thus, accuracy of the field mapping is crucial for fast and efficient shimming of MR magnets. For an accurate shimming, a "magnetic" center, which is a mathematical origin for harmonic analysis, must be carefully defined, Although the magnetic center is in general identical to the physical center of a magnet, it is not rare that both centers are different particularly in HTS (high temperature superconducting) magnets of which harmonic field errors, especially high orders, are significantly dependent on a location of the magnetic center. This paper presents a new algorithm, based on a field mapping theory with harmonic analysis, to define the best magnetic center of an MR magnet in terms of minimization of pre-shimming field errors. And the proposed algorithm is tested with simulation under gaussian noise environment.

Keywords

References

  1. 진홍범, "능동 차폐형 초전도 MRI 마그네트의 설계 및 제작에 관한 연구", 성균관대학교 박사학위 논문, 1996.
  2. E. S. Bobrov, W. F. B. Punchard, "A General Method of Design of Axial And Radial Shim Coils for NMR and MRI Magnets", IEEE Trans. Magn., vol. 24, no. 1, pp. 533-536, 1988. https://doi.org/10.1109/20.43977
  3. R. Turner, "Gradient Coil Design: A Reveiw of Methods", Magnetic Resonance Imaging, vol. 11, pp. 903-920, 1993. https://doi.org/10.1016/0730-725X(93)90209-V
  4. E. Hirose, K. H. Tanaka, T. Takahashi, Y. Sato, K. Agari, M. Ieiri, Y. Kato, M. Minakawa, H. Noumi, Y. Sato, Y. Suzuki, H. Takahashi, M. Takasaki, A. Toyoda, Y. Yamada, Y. Yamanoi, "A New 3-Axis Magnetic Field Measurement System Based on Hall Elements", IEEE Trans. Appl. Supercon., vol. 14, no. 2, pp. 1814-1817, 2004. https://doi.org/10.1109/TASC.2004.830869
  5. J. Bascunan, W. S. Kim, S. Hahn, E. S. Bobrov, H. Lee, Y. Iwasa, "An LTS/HTS NMR Magnet Operated in the Range 600-700 MHz", IEEE Trans. Appl. Supercon., vol. 17, no. 2, pp. 1446-1449, 2007. https://doi.org/10.1109/TASC.2007.898021
  6. 손권, 최윤호, 김철 공역, "응용수치해석", Chapter 15, 한국맥그로힐, 2005.

Cited by

  1. A Study on an Algorithm for Finding Magnetic Center of an Asymmetric HTS Magnet With 3-Axis Mapper vol.23, pp.3, 2013, https://doi.org/10.1109/TASC.2012.2231456