NUMERICAL-ANALYSIS OF THE MAGNETIC-FIELD FOR ARBITRARY MAGNETIC-SUSCEPTIBILITY DISTRIBUTIONS IN 2D

被引:50
作者
BHAGWANDIEN, R
VANEE, R
BEERSMA, R
BAKKER, CJG
MOERLAND, MA
LAGENDIJK, JJW
机构
[1] Department of Radiotherapy, University Hospital Utrecht, 3584 CX Utrecht
[2] NMR-Institute, University Hospital Utrecht, 3584 CX Utrecht
关键词
MAGNETIC RESONANCE IMAGING; MAGNETIC FIELD ANALYSIS; SUSCEPTIBILITY ARTIFACTS; DISTORTIONS; MAGNETIC FIELD SIMULATIONS;
D O I
10.1016/0730-725X(92)90489-M
中图分类号
R8 [特种医学]; R445 [影像诊断学];
学科分类号
1002 ; 100207 ; 1009 ;
摘要
We describe a numerical technique for calculating the 2D magnetic field in arbitrary magnetic susceptibility distribution. The technique we used is the explicit finite difference method with an addition of the Du Fort-Frankle algorithm. The proposed algorithm is unconditionally stable and has excellent convergence properties. For simple geometries, numerical results were compared against analytical solutions and appeared to be in excellent agreement.
引用
收藏
页码:299 / 313
页数:15
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共 17 条
  • [1] Goitein, Calculation of the uncertainty in the dose delivered during radiation therapy, Med. Phys., 12, pp. 608-612, (1985)
  • [2] Wendt, Wilcott, Nitz, Murphy, Bryan, MR imaging of susceptibility-induced magnetic field inhomogeneities, Radiology, 168, pp. 837-841, (1988)
  • [3] Young, Khenia, Thomas, Davis, Gadian, Cox, Ross, Bydder, Clinical magnetic susceptibility mapping of the brain, J. Comput. Assist. Tomog., 11, pp. 2-6, (1987)
  • [4] Wilcott, Mee, Chesick, Magnetic field mapping in NMR imaging, Magnetic Resonance Imaging, 5, pp. 301-306, (1987)
  • [5] Weis, Budinsky, Simulation of the influence of magnetic field inhomogeneity and distortion correction in MR imaging, Magn. Reson. Imag., 8, pp. 483-489, (1990)
  • [6] Posse, Aue, Susceptibility artifacts in spin-echo and gradient echo imaging, J. Magn. Reson., 88, pp. 473-492, (1990)
  • [7] Ludeke, Roschmann, Tischler, Susceptibility artifacts in NMR imaging, Magnetic Resonance Imaging, 3, pp. 329-343, (1985)
  • [8] Chu, Xu, Balschi, Springer, Bulk magnetic susceptibility shifts in NMR studies of compartmentalized samples: use of paramagnetic reagents, Magn. Reson. Med., 13, pp. 239-262, (1990)
  • [9] Bhagwandien, Bakker, Moerland, Lagendijk, Numerical Analysis of the Magnetic Field for Arbitrary Magnetic Permeability Distributions, Ninth Annual Meeting of the Society for Magnetic Resonance Imaging, (1991)
  • [10] Lagendijk, Thermal models: Principle and implementation, An Introduction to the Practical Aspects of Clinical Hyperthermia, pp. 478-512, (1990)