Cooperative broadband spin echoes through optimal control

Journal of Magnetic Resonance - Tập 286 - Trang 115-137 - 2018
Wolfgang Kallies1, Steffen J. Glaser1
1Department of Chemistry, Technical University of Munich, Lichtenbergstr. 4, 85748 Garching, Germany

Tài liệu tham khảo

Levitt, 1986, Composite pulses, Prog. Nucl. Magn. Reson. Spectrosc., 18, 61, 10.1016/0079-6565(86)80005-X Keeler, 1990, p 201 McDonald, 1991, Uses of shaped pulses in NMR: a primer, Concepts Magn. Reson., 3, 55, 10.1002/cmr.1820030202 Freeman, 1998, Shaped radiofrequency pulses in high resolution NMR, Prog. Nucl. Magn. Reson. Spectrosc., 32, 59, 10.1016/S0079-6565(97)00024-1 Khaneja, 2005, Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms, J. Magn. Reson., 172, 296, 10.1016/j.jmr.2004.11.004 Kobzar, 2004, Exploring the limits of broadband excitation and inversion pulses, J. Magn. Reson., 170, 236, 10.1016/j.jmr.2004.06.017 Kobzar, 2008, Exploring the limits of broadband excitation and inversion: II. Rf-power optimized pulses, J. Magn. Reson., 194, 58, 10.1016/j.jmr.2008.05.023 Kobzar, 2012, Exploring the limits of broadband 90 degrees and 180 degrees universal rotation pulses, J. Magn. Reson., 225, 142, 10.1016/j.jmr.2012.09.013 Gershenzon, 2007, Optimal control design of excitation pulses that accommodate relaxation, J. Magn. Reson., 188, 330, 10.1016/j.jmr.2007.08.007 Gershenzon, 2008, Linear Phase Slope in pulse design: application to coherence transfer, J. Magn. Reson., 192, 235, 10.1016/j.jmr.2008.02.021 Skinner, 2003, Application of optimal control theory to the design of broadband excitation pulses for high-resolution NMR, J. Magn. Reson., 163, 8, 10.1016/S1090-7807(03)00153-8 Skinner, 2012, Optimal control design of band-selective excitation pulses that accommodate relaxation and RF inhomogeneity, J. Magn. Reson., 217, 53, 10.1016/j.jmr.2012.02.007 Kehlet, 2005, Low-power homonuclear dipolar recoupling in solid-state NMR developed using optimal control theory, Chem. Phys. Lett., 414, 204, 10.1016/j.cplett.2005.08.061 Neves, 2006, Exploring the limits of polarization transfer efficiency in homonuclear three spin systems, J. Magn. Reson., 181, 126, 10.1016/j.jmr.2006.03.021 Skinner, 2004, Reducing the duration of broadband excitation pulses using optimal control with limited RF amplitude, J. Magn. Reson., 167, 68, 10.1016/j.jmr.2003.12.001 Skinner, 2005, Tailoring the optimal control cost function to a desired output: application to minimizing phase errors in short broadband excitation pulses, J. Magn. Reson., 172, 17, 10.1016/j.jmr.2004.09.011 Skinner, 2006, Optimal control design of constant amplitude phase-modulated pulses: application to calibration-free broadband excitation, J. Magn. Reson., 179, 241, 10.1016/j.jmr.2005.12.010 Skinner, 2011, Design and application of robust rf pulses for toroid cavity NMR spectroscopy, J. Magn. Reson., 209, 282, 10.1016/j.jmr.2011.01.026 Nimbalkar, 2013, The Fantastic Four: a plug ‘n’ play set of optimal control pulses for enhancing NMR spectroscopy, J. Magn. Reson., 228, 16, 10.1016/j.jmr.2012.12.007 Levitt, 1996 Levitt, 1983, Improvement of pulse performance in N.M.R. coherence transfer experiments, Mol. Phys., 50, 1109, 10.1080/00268978300102891 M. Braun, Cooperative Pulses: Towards Global Pulse Sequence Optimization (PhD), 2011. Wei, 2014, Cooperative pulses for pseudo-pure state preparation, Appl. Phys. Lett., 104, ​242409, 10.1063/1.4884295 Braun, 2014, Concurrently optimized cooperative pulses in robust quantum control: application to broadband Ramsey-type pulse sequence elements, New J. Phys., 16, 10.1088/1367-2630/16/11/115002 Braun, 2010, Cooperative pulses, J. Magn. Reson., 207, 114, 10.1016/j.jmr.2010.08.013 Ernst, 2014 Atta-Ur-Rahman, 1986, vol. 1 Atta-ur Rahman, 1989 Levitt, 2008 Keeler, 2010 Braun, 1996 Friebolin, 2013, vol. 5 Schweiger, 2001 Spindler, 2017, Perspectives of shaped pulses for EPR spectroscopy, J. Magn. Reson., 280, 30, 10.1016/j.jmr.2017.02.023 Bernstein, 2004 Zhu, 1995, Selection of coherence transfer pathways by pulsed-field gradients in nmr spectroscopy, Concepts Magn. Reson., 7, 281, 10.1002/cmr.1820070404 Singla, 2005, How to avoid singularity when using Euler angles?, Adv. Astronaut. Sci., 119, 1409 Böhlen, 1993, Experimental aspects of chirp NMR spectroscopy, J. Magn. Reson., 102, 293, 10.1006/jmra.1993.1107 Cano, 2002, Adjustable, broadband, selective excitation with uniform phase, J. Magn. Reson., 155, 131, 10.1006/jmre.2002.2506 Altmann, 1986 Goldstein, 1980 Siminovitch, 1997, Rotations in NMR: 1. Euler-Rodrigues parameters and quaternions, Concepts Magn. Reson., 9, 149, 10.1002/(SICI)1099-0534(1997)9:3<149::AID-CMR3>3.0.CO;2-Z Blümich, 1985, Quaternions as a practical tool for the evaluation of composite rotations, J. Magn. Reson., 61, 356 Pauly, 1991, Parameter relations for the Shinnar-Le Roux selective excitation pulse design algorithm [NMR imaging], IEEE Trans. Med. Imaging, 10, 53, 10.1109/42.75611 Lescop, 2010, Guidelines for the use of band-selective radiofrequency pulses in hetero-nuclear NMR: example of longitudinal-relaxation-enhanced BEST-type 1H-15N correlation experiments, J. Magn. Reson., 203, 190, 10.1016/j.jmr.2009.12.001 Li, 2014, Rotation operator propagators for time-varying radiofrequency pulses in NMR spectroscopy: applications to shaped pulses and pulse trains, J. Magn. Reson., 248, 105, 10.1016/j.jmr.2014.09.001 Khaneja, 2001, Time optimal control in spin systems, Phys. Rev. A, 63, 032308, 10.1103/PhysRevA.63.032308 de Fouquieres, 2011, Second order gradient ascent pulse engineering, J. Magn. Reson., 212, 412, 10.1016/j.jmr.2011.07.023 Goodwin, 2016, Modified Newton-Raphson GRAPE methods for optimal control of spin systems, J. Chem. Phys., 144, 204107, 10.1063/1.4949534 Neves, 2009, Heteronuclear decoupling by optimal tracking, J. Magn. Reson., 7, 10.1016/j.jmr.2009.07.024 Janich, 2011, Robust slice-selective broadband refocusing pulses, J. Magn. Reson., 213, 126 Cavanagh, 1996 Spindler, 2012, Shaped optimal control pulses for increased excitation bandwidth in EPR, J. Magn. Reson., 218, 49, 10.1016/j.jmr.2012.02.013 Khaneja, 2005, Optimal experiments for maximizing coherence transfer between coupled spins, J. Magn. Reson., 173, 116, 10.1016/j.jmr.2004.11.023 Mandal, 2013, Axis-matching excitation pulses for CPMG-like sequences in inhomogeneous fields, J. Magn. Reson., 237, 1, 10.1016/j.jmr.2013.09.004 Schilling, 2012, Tailored real-time scaling of heteronuclear couplings, J. Magn. Reson., 223, 207, 10.1016/j.jmr.2012.07.024 Berger, 2004 Haase, 1986, FLASH imaging. Rapid NMR imaging using low flip-angle pulses, J. Magn. Reson., 67, 258 Assländer, 2016, Spin echoes in the regime of weak dephasing, Magn. Reson. Med., 75, 150, 10.1002/mrm.25579 Wächter, 2006, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Math. Prog., 106, 25, 10.1007/s10107-004-0559-y Bertini, 2006, On the Euler angles for SU(N), J. Math. Phys., 47, 043510, 10.1063/1.2190898 Schilling, 2014, Next-generation heteronuclear decoupling for high-field biomolecular NMR spectroscopy, Angew. Chem. Int. Ed., 53, 4475, 10.1002/anie.201400178 https://www.ioc.kit.edu/luy/111.php.