Design of adiabatic selective pulses using optimal control theory

Magnetic Resonance in Medicine

Volumn 36, Issue 3, 1996, Pages 401-409

  Rosenfeld, Daniel ^a,b   Zur, Yuval ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b Elscint MRI Center   (Israel)

Author keywords

adiabatic pulses; optimal control; optimization; RF pulse design

Indexed keywords

CONTROL THEORY; ECONOMIC AND SOCIAL EFFECTS; MATHEMATICAL PROGRAMMING; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION;

ADIABATIC PULSE; FREQUENCY-SELECTIVE; HAMILTONIAN APPROACH; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROL THEORY; OPTIMAL CONTROLS; RF PULSE DESIGNS; SELECTIVE EXCITATIONS;

SPIN POLARIZATION;

ARTICLE; COMPUTER SYSTEM; EXCITATION; MATHEMATICAL MODEL; NUCLEAR MAGNETIC RESONANCE IMAGING; RADIOFREQUENCY; THEORY;

EID: 0029760517     PISSN: 07403194     EISSN: None     Source Type: Journal    
DOI: 10.1002/mrm.1910360311     Document Type: Article

References (20)

1. A. E. Bryson, Jr., Y.-C. Ho, "Applied Optimal Control," Hemisphere Publishing Corp., Washington, D.C., 1975.
2. Andrew P. Sage, "Optimum Systems Control," Prentice-Hall, Inc., Englewood Cliffs, NJ, 1968.
3. S. Conolly, D. Nishimura, A. Macovski, Optimal control solutions to the magnetic resonance selective excitation problem. IEEE Trans. Med. Imaging MI-5, 106-115 (1986).
4. S. Conolly, D. Nishimura, A. Macovski, Selective complex pulse design by optimal control theory, in "Proc., SMRM, 5th Annual Meeting, 1966," pp. 1456-1457.
5. J. B. Murdoch, A. H. Lent, M. R. Kritzer, Compuler-optimized narrowband pulses for multislice imaging. J. Magn. Reson. 74, 226-263 (1987).
6. C. P. Slichter, "Principles of Magnetic Resonance," 3rd ed., Springer-Verlag, Berlin, 1992.
7. 1 magnitude. J. Magn. Reson. 80, 448-469 (1988).
8. T. E. Skinner, P.-M. L. Robitaille. General solutions for tailored modulation profiles in adiabatic excitation. J. Magn. Reson. 98, 14-23 (1992).
9. D. Tabak, B. C. Kuo, "Optimal Control by Mathematical Programming," Prentice-Hall, Inc., Englewood Cliffs, NJ, 1971.
10. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, "Numerical Recipes in C," 2nd ed., Cambridge University Press, 1992.
11. 1 fields. J. Magn. Reson. 78, 472-479 (1988).
12. J. Slotboom, J. W. Gunning, A. F. Mehlkopf, W. M. M. J. Bovee, Design of frequency-selective RF pulses by optimizing a small number of pulse parameters. J. Magn. Reson. Ser. A 101, 257-264 (1993).
13. J. Pauly, P. Le Roux, D. Nishimura, A. Macovski, Parameter relaxations for the Shinnar-Le Roux selective excitation pulse design algorithm. IEEE Trans. Med. Imaging MI-10, 53-65 (1991).
14. J. D. Foley, A. Van Dam, S. K. Feiner, J. F. Hughes, "Computer Graphics: Principles and Practice," 2nd ed., Exercise 5.15, p. 227, Addison-Wesley Publishing Company, Menlo Park, CA, 1990.
15. C. J. Hardy, W. A. Edelstein, D. Vatis, Efficient adiabatic fast passage of NMR population inversion in the presence of radiofrequency field inhomogeneity and frequency offsets. J. Magn. Reson. 66, 470-482 (1986).
16. M. S. Silver, R. I. Joseph, D. I. Hoult, Highly selective π/2 and π pulse generation. J. Magn. Reson. 59, 347-351 (1984).
17. M. R. Bendall, D. T. Pegg, Uniform sample excitation with surface coils for in vivo spectroscopy by adiabatic rapid half passage. J. Magn. Reson. 67, 376-381 (1986).
18. S. Conolly, D. Nishimura, A. Macovski, Sweep-diagram analysis of selective adiabatic pulses. J. Magn. Reson. 83, 549-564 (1989).
19. G. M. Bydder, I. R. Young, MR imaging: clinical use of the inversion recovery sequence. J. Comput. Assist. Tomogr. 9, 659-675 (1985).
20. E. Kaldoudi, S. C. R. Williams, G. J. Barker, P. S. Tofts, A chemical shift selective inversion recovery sequence for fat-suppressed MRI: theory and experimental validation. Magn. Reson. Imag. 11, 341-355 (1993).