Optimal control design of constant amplitude phase-modulated pulses: Application to calibration-free broadband excitation

Journal of Magnetic Resonance

Volumn 179, Issue 2, 2006, Pages 241-249

  Skinner, Thomas E ^a   Kobzar, Kyryl ^b   Luy, Burkhard ^b   Bendall, M Robin ^c   Bermel, Wolfgang ^d   Khaneja, Navin ^e   Glaser, Steffen J ^b  

^a WRIGHT STATE UNIVERSITY   (United States)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^c Adiabatics Inc   (United States)

^d BRUKER BIOSPIN GMBH   (Germany)

^e HARVARD UNIVERSITY   (United States)

Author keywords

BEBOP; Broadband excitation; Optimal control theory; Phase modulation; PM pulses

Indexed keywords

ADAPTIVE ALGORITHMS; ELECTRIC EXCITATION; MAGNETIZATION; OPTIMAL CONTROL SYSTEMS; PHASE MODULATION; RESONANCE; WAVELET TRANSFORMS;

BEBOP; BROADBAND EXCITATION; OPTIMAL CONTROL THEORY; PM PULSES;

BROADBAND AMPLIFIERS;

EID: 33645877107     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2005.12.010     Document Type: Article

References (35)

1. Freeman R., Kempsell S.P., and Levitt M.H. Radiofrequency pulse sequences which compensate their own imperfections. J. Magn. Reson. 38 (1980) 453-479
2. Levitt M.H. Symmetrical composite pulse sequences for NMR population inversion. I. Compensation of radiofrequency field inhomogeneity. J. Magn. Reson. 48 (1982) 234-264
3. Levitt M.H., and Ernst R.R. Composite pulses constructed by a recursive expansion procedure. J. Magn. Reson. 55 (1983) 247-254
4. Tycko R., Cho H.M., Schneider E., and Pines A. Composite pulses without phase distortion. J. Magn. Reson. 61 (1985) 90-101
5. Levitt M.H. Composite pulses. Prog. Nucl. Magn. Reson. Spectrosc. 18 (1986) 61-122
6. Shaka A.J., and Pines A.J. Symmetric phase-alternating composite pulses. J. Magn. Reson. 71 (1987) 495-503
7. Böhlen J.-M., Rey M., and Bodenhausen G. Refocusing with chirped pulses for broadband excitation without phase dispersion. J. Magn. Reson. 84 (1989) 191-197
8. Böhlen J.-M., and Bodenhausen G. Experimental aspects of chirp NMR spectroscopy. J. Magn. Reson. Series A 102 (1993) 293-301
9. Abramovich D., and Vega S. Derivation of broadband and narrowband excitation pulses using the Floquet Formalism. J. Magn. Reson. Series A 105 (1993) 30-48
10. Kupče E., and Freeman R. Wideband excitation with polychromatic pulses. J. Magn. Reson. Series A 108 (1994) 268-273
11. 13C chemical shift range. J. Biomol. NMR 5 (1995) 59-66
12. Hwang T.L., van Zijl P.C.M., and Garwood M. Broadband adiabatic refocusing without phase distortion. J. Magn. Reson. 124 (1997) 250-254
13. Cano K.E., Smith M.A., and Shaka A.J. Adjustable, broadband, selective excitation with uniform phase. J. Magn. Reson. 155 (2002) 131-139
14. Skinner T.E., Reiss T.O., Luy B., Khaneja N., and Glaser S.J. Application of optimal control theory to the design of broadband excitation pulses for high resolution NMR. J. Magn. Reson. 163 (2003) 8-15
15. Skinner T.E., Reiss T.O., Luy B., Khaneja N., and Glaser S.J. Reducing the duration of broadband excitation pulses using optimal control with limited RF amplitude. J. Magn. Reson. 167 (2004) 68-74
16. Kobzar K., Skinner T.E., Khaneja N., Glaser S.J., and Luy B. Exploring the limits of broadband excitation and inversion pulses. J. Magn. Reson. 170 (2004) 236-243
17. Skinner T.E., Reiss T.O., Luy B., Khaneja N., and Glaser S.J. Tailoring the optimal control cost function to a desired output: application to minimizing phase errors in short broadband excitation pulses. J. Magn. Reson. 172 (2005) 17-23
18. Pontryagin L., Boltyanskii B., Gamkrelidze R., and Mishchenko E. The Mathematical Theory of Optimal Processes (1962), Wiley-Interscience, New York
19. Sage A.P. Optimum Systems Control (1968), Prentice-Hall, Inc., Englewood Cliffs, NJ
20. Bryson Jr. A., and Ho Y.-C. Applied Optimal Control (1975), Hemisphere, Washington, D.C.
21. Pinch E. Optimal Control and the Calculus of Variations (1993), Oxford University Press, Oxford
22. Conolly S., Nishimura D., and Macovski A. Optimal control solutions to the magnetic resonance selective excitation problem. IEEE Trans. Med. Imaging MI-5 (1986) 106-115
23. Mao J., Mareci T.H., Scott K.N., and Andrew E.R. Selective inversion radiofrequency pulses by optimal control. J. Magn. Reson. 70 (1986) 310-318
24. Rosenfeld D., and Zur Y. Design of adiabatic selective pulses using optimal control theory. Magn. Reson. Med. 36 (1996) 401-409
25. Khaneja N., Reiss T., Kehlet C., Schulte-Herbrüggen T., and Glaser S.J. Optimal Control of Coupled Spin Dynamics: Design of NMR Pulse Sequences by Gradient Ascent Algorithms. J. Magn. Reson. 172 (2005) 296-305
26. Goldstein H. Classical Mechanics (1980), Addison-Wesley, Reading, MA
27. Luy B., Kobzar K., Skinner T.E., Khaneja N., and Glaser S.J. Construction of Universal Rotations from Point to Point Transformations. J. Magn. Reson. 176 (2005) 179-186
28. Bodenhausen G., and Ruben D.J. Natural abundance N-15 NMR by enhanced heteronuclear spectroscopy. Chem. Phys. Lett. 69 (1980) 185-189
29. Davis A.L., Keeler J., Laue E.D., and Moskau D. Experiments for recording pure-absorption heteronuclear correlation spectra using pulsed field gradients. J. Magn. Reson. 98 (1992) 207-216
30. Bax A., and Summers M.F. H-1 and C-13 assignments from sensitivity-enhanced detection of heteronuclear multiple-bond connectivity by 2D multiple quantum NMR. J. Am. Chem. Soc. 108 (1986) 2093-2094
31. Verdier L., Sakhaii P., Zweckstetter M., and Griesinger C. Measurement of long-range H,C couplings in natural products in orienting media: a tool for structure elucidation of natural products. J. Magn. Reson. 163 (2004) 353-359
32. Hallenga K., and Lippens G.M. A constant-time C-13-H-1 HSQC with uniform excitation over the complete C-13 chemical-shift range. J. Biomol. NMR 5 (1995) 59-66
33. van Zijl P.C.M., Hwang T.L., O'Neil Johnson M., and Garwood M. Optimized excitation and automation for high-resolution NMR using B-1-insensitive rotation pulses. J. Am. Chem. Soc. 118 (1996) 5510-5511
34. Ogura K., Terasawa H., and Inagaki F. Fully C-13-refocused multidimensional C-13-edited pulse schemes using broadband shaped inversion and refocusing pulses. J. Magn. Reson. Series B 112 (1996) 63-68
35. Kupče E., and Freeman R. J. Magn. Reson. Series A 115 (1995) 273-276