The design of excitation pulses for spin systems using optimal control theory:With application to NMR spectroscopy

Optimal Control Applications and Methods

Volumn 30, Issue 5, 2009, Pages 463-475

  Gershenzon, Naum I ^a   Miller, David F ^a   Skinner, Thomas E ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

Bloch dynamics; Nuclear magnetic resonance; Optimal control theory; Radio frequency pulses

Indexed keywords

APPLIED FIELD; BLOCH DYNAMICS; CONTINUOUS TIME; CONTROL PROBLEMS; EXCITATION PULSE; HIGH-RESOLUTION SPECTROSCOPY; MAGNETIC SPIN; MAGNETIZATION VECTOR; MATHEMATICAL ANALYSIS; MISCALIBRATION; NMR SPECTROSCOPY; NUMERICAL ALGORITHMS; OPTIMAL CONTROL THEORY; OPTIMAL EXCITATION; OPTIMAL PULSE; PULSE AMPLITUDE; RADIO FREQUENCY EXCITATION; RADIO FREQUENCY PULSES; RESONANT FREQUENCIES; SPIN SYSTEMS; STATIC MAGNETIC FIELDS; TARGET VECTORS; TIME-DEPENDENT; TRANSVERSE PLANES;

CONTROL THEORY; MAGNETIC FIELDS; MAGNETS; NATURAL FREQUENCIES; NUCLEAR MAGNETIC RESONANCE; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; OPTIMIZATION; RADIO; RADIO WAVES; SPECTROSCOPIC ANALYSIS; SPIN DYNAMICS; SYSTEM THEORY;

PULSE GENERATORS;

EID: 70350302913     PISSN: 01432087     EISSN: 10991514     Source Type: Journal    
DOI: 10.1002/oca.867     Document Type: Article

References (20)

1. Conolly S, Nishimura A, Macovski A. Optimal control solutions to the magnetic resonance selective excitation problem. IEEE Transactions on Medical Imaging 1986; MI-5(2):106-115.
2. Rosenfeld D, Zur Y. Design of adiabatic selective pulses using optimal control theory. Magnetic Resonance in Medicine 1996; 36:401-409.
3. Skinner T, Reiss T, Luy B, Khaneja N, Glaser S. Application of optimal control theory to the design of broadband excitation pulses for high-resolution NMR. Journal of Magnetic Resonance 2003; 163:8-15.
4. Skinner T, Reiss T, Luy B, Khaneja N, Glaser S. Tailoring the optimal control cost function to a desired output: application to minimizing phase errors in short broadband excitation. Journal of Magnetic Resonance 2005; 172:17-23.
5. Skinner T, Reiss T, Luy B, Khaneja N, Glaser S. Reducing the duration of broadband excitation pulses using optimal control with limited RF amplitude. Journal of Magnetic Resonance 2004; 167:68-74.
6. Skinner T, Reiss T, Luy B, Khaneja N, Glaser S. Optimal control design of constant amplitude phase-modulated pulses: application to broadband excitation. Journal of Magnetic Resonance 2006; 179:241-249.
7. Tannor D, Kazalov V. Control of photochemical branching: novel procedures for finding optimal pulses and global upper bounds. In Time-dependent Quantum Molecular Dynamics, Broeckove J, Lathouwers L (eds). Plenum Press: New York, 1992; 347-360.
8. Krotov VF. A technique of global bounds in optimal control theory. Control and Cybernetics 1988; 17:115.
9. Ulloa J, Guarini M, Guesalaga A, Irarrazaval P. Chebyshev series for designing RF pulses employing an optimal control approach. IEEE Transactions on Medical Imaging 2004; 23(11):1-8.
10. Li J-S, Khaneja N. Control of inhomogeneous quantum ensembles. Physical Review A 2006; 73:030302-1-030302-30304
11. Khaneja N, Reiss T, Luy B, Glaser SJ. Optimal control of spin dynamics in the presence of relaxation. Journal of Magnetic Resonance 2003; 162:311-319.
12. Jaynes ET. Matrix treatment of nuclear induction. Physical Review 1955; 98:1099-1105.
13. Fleming WH, Rishel RW. Deterministic and Stochastic Optimal Control. Springer: New York, NY, 1975.
14. Kup?ce - E, Freeman R. Wideband excitation with polychromatic pulses. Journal of Magnetic Resonance 1994; 108:268-273.
15. Kup?ce - E, Freeman R. Polychromatic selective pulses. Journal of Magnetic Resonance 1993; 102A:122-126.
16. Kup?ce - E, Freeman R. Pulse design in the frequency domain. Journal of Magnetic Resonance 1993; 103A:358-363.
17. Freeman R. Selective excitation in high-resolution NMR. Chemical Review 1991; 91:1397-1412.
18. Pauly J, Le Roux P, Nishimura D, Macovski A. Parameter relations for the Shinnar-Le Roux selective excitation pulse design algorithm. IEEE Transactions on Medical Imaging 1991; 10:53-65.
19. Nuzillard J-M, Freeman R. Band-selective pulses designed to accommodate relaxation. Journal of Magnetic Resonance A 1994; 107:113-118.
20. Rourke DE, Khodarinova L, Karabanov AA. Two-level systems with relaxation. Physical Review Letters 2004; 92:163003-1-163003-163004