A stream function method for gradient coil design

Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering

Volumn 26, Issue 1, 2005, Pages 67-80

  Lemdiasov, Rostislav A ^a   Ludwig, Reinhold ^b  

^a Insight Neuroimaging Systems   (United States)

^b WORCESTER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Constraint optimization; Gradient coils; Localized uniform field gradient; Magnetic resonance; Stream function method; Target field method

Indexed keywords

EID: 25444446925     PISSN: 10437347     EISSN: None     Source Type: Journal    
DOI: 10.1002/cmr.b.20040     Document Type: Article

References (14)

1. Bangert V, Mansfield P. 1982. Magnetic field gradient coils for NMR imaging. J Phys [E] 15:235-239.
2. Turner R. 1993. Gradient coil design: a review of methods. Magn Reson Imaging 11:903-920.
3. Compton RC. 1982. Gradient coil apparatus for a magnetic resonance system. US Patent 4,456,881.
4. Schweikert KH, Krieg R, Noack F. 1988. A high-field air-cored magnet coil design for fast-field-cycled NMR. J Magn Reson 78:77-96.
5. Wong E, Jesmanowicz A, Hyde JS. 1991. Coil optimization for MRI by conjugate gradient descent. Magn Res Med 21:39-48.
6. Turner R. 1986. A target field approach to optimal coil design. J Phys D Appl Phys 19:L147-L151.
7. Turner R. 1988. Minimum inductance coils. J Phys [E] 21:948-952.
8. Liu H. 1998. Finite size bi-planar gradient coil for MRI. IEEE Trans Magn 34:2162-2164.
9. Green D, Bowtell RW, Morris PG. 2002. Uniplanar gradient coil for brain imaging. 10th annual meeting of ISMRM, Honolulu, Hawaii.
10. Leggett J, Crosier S, Blackband S, Beck B, Bowtell RW. 2003. Multilayer transverse gradient coil design. Concepts Magn Reson B 16(1):38-46.
11. Cho ZH, Yi JH. 1991. A novel type of surface gradient coil. J Magn Reson 94:471-485.
12. Shi F. 1996. Optimal designs of gradient and RF coils for magnetic resonance imaging (MRI) instrument. PhD dissertation, Worcester Polytechnic Institute, Worcester, Massachusetts.
13. Shi F, Ludwig R. 1996. Two- and three-dimensional numerical analysis of gradient and parasitic gradient fields of a three-channel surface gradient coil for magnetic resonance imaging. IEEE Trans Magn 32:195-207.
14. Eibert TF, Hansen V. 1995. On the calculation of potential integrals for linear source distributions on triangular domains. IEEE Trans Antennas Prop 43:1499-1502.