A hybrid, inverse approach to the design of magnetic resonance imaging magnets

Medical Physics

Volumn 27, Issue 3, 2000, Pages 599-607

  Zhao, Huawei ^a   Crozier, Stuart ^a   Doddrell, David M ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Asymmetric design; Hybrid numerical method; MRI magnet; Symmetric design

Indexed keywords

INTEGRAL EQUATIONS; INVERSE PROBLEMS; MAGNETIC RESONANCE IMAGING; MAGNETISM; NONLINEAR PROGRAMMING; NUMERICAL METHODS;

ASYMMETRIC DESIGN; HOMOGENEOUS MAGNETIC FIELD; HOMOGENEOUS REGIONS; HYBRID NUMERICAL METHOD; MRI MAGNETS; NONLINEAR OPTIMIZATION METHODS; SEMI-ANALYTICAL METHODS; SYMMETRIC DESIGN;

MAGNETS;

ARTICLE; GEOMETRY; MAGNET; MAGNETIC FIELD; MATHEMATICAL MODEL; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL;

EID: 0034068555     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.598899     Document Type: Article

References (19)

1. M. W. Garrett, "Axially symmetric systems for generating and measuring magnetic fields. Part I," J. Appl. Phys. 22, 1091-1107 (1951).
2. M. W. Garrett, "Thick cylindrical coil systems for strong magnetic fields with field or gradient homogeneities of the 6th-20th order," J. Appl. Phys. 38, 2563-2586 (1967).
3. H. Siebold, "Design optimization of main, gradient and RF field coils for MR imaging," IEEE Trans. Magn. 26, 841-846 (1990).
4. F. J. Davies, R. T. Elliott, and D. G. Hawkesworth, "A 2 T active shield magnet for whole body imaging and spectroscopy," IEEE Trans. Magn. 27, 1677-1680 (1991).
5. A. K. Kalafala, "Optimized configurations for actively shielded magnetic resonance imaging magnets," IEEE Trans. Magn. 27, 1696-1699 (1991).
6. W. M. Schmidt, R. R. Huson, W. W. Mackay, and R. M. Rocha, "A 4 T/1 m superferric MRI magnet," IEEE Trans. Magn. 27, 1681-1684 (1991).
7. S. Pissanetzky, "Structured coil for NMR applications," IEEE Trans. Magn. 28, 1961-1968 (1992).
8. Michael R. Thompson, Robert W. Brown, and Vishnu C. Srivastava, "An inverse approach to design of MRI main magnets," IEEE Trans. Magn. 30, 108-112 (1994).
9. S. Crozier and D. M. Doddrell, "Compact MRI magnet design by stochastic optimization," J. Magn. Reson. 127, 233-237 (1997).
10. P. Mansfield and B. Chapman, "Active magnetic screening of coils in NMR imaging," J. Magn. Reson. 66, 573-576 (1986).
11. P. B. Roemer and J. S. Hickey, " Self-shielded gradient coils for nuclear magnetic resonance imaging," European Patent No. 87 101 198 (1986).
12. D. Hoult and R. Deslauriers, "Accurate shim-coil design and magnet-field profiling by a power-minimization-matrix method," J. Magn. Reson. 108, 9-20 (1994).
13. L. K. Forbes, S. Crozier, and D. M. Doddrell, "Rapid computation of static fields produced by thick circular solenoids," IEEE Trans. Magn. 33, 4405-4410 (1997).
14. D. L. Phillips, "A technique for the numerical solution of certain integral equations of the first kind," J. Assoc. Comput. Mach. 9, 84-97 (1962).
15. S. Twomey, "On the numerical solution of Fredholm integral equations of the first kind by the inversion of the linear system produced by quadrature," J. Assoc. Comput. Mach. 10, 97-101 (1963).
16. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Fannery, Numerical Recipes in C (Cambridge University Press, Cambridge, 1992), pp. 683-688.
17. S. Crozier, H. Zhao, and D. M. Doddrell, "Asymmetric superconducting magnets for MRI," US Patent application #09/421, 035 (1999): H. Zhao, S. Crozier, and D. M. Doddrell, "Asymmetric MRI magnet design using a hybrid numerical method," J. Magn. Reson. 141, 340-346 (1999).
18. S. Crozier, H. Zhao, and D. M. Doddrell, "Asymmetric superconducting magnets for MRI," US Patent application #09/421, 035 (1999): H. Zhao, S. Crozier, and D. M. Doddrell, "Asymmetric MRI magnet design using a hybrid numerical method," J. Magn. Reson. 141, 340-346 (1999).
19. S. Crozier and D. M. Doddrell, "Magnets for magnetic resonance systems," US Patent No. 5 818 319 (1995).