Chinese Journal of Magnetic Resonance >
Optimization of Limited Amplitude Radiofrequency Pulse with Variance Evaluation
Received date: 2014-08-14
Revised date: 2015-07-23
Online published: 2015-09-05
Supported by
国家自然科学基金资助项目(11105096)，中国科学院科研装备研制项目资助(YZ201253)，江苏省自然科学基金资助项目(BK20131171)，苏州市科技计划资助项目(SH201207)
In the design of optimized radiofrequency excitation pulse with limited amplitude, the variance of the pulse excitation efficiency is taken into account to improve the excitation efficiency. It was shown that this method can significantly reduce the inhomogeneity of broadband excitation. The effects of different weights and pulse amplitude restrictions are also discussed in terms of how to achieve better excitation results.
ZHANG Shu-lin1 , 2 , 3 , CHANG Yan1 , YANG Xiao-dong1* . Optimization of Limited Amplitude Radiofrequency Pulse with Variance Evaluation[J]. Chinese Journal of Magnetic Resonance, 2015 , 32(3) : 462 -469 . DOI: 10.11938/cjmr20150307
[1] Levitt M H. Spin Dynamics: Basics of Nuclear Magnetic Resonance[M]. John Wiley & Sons, 2013.
[2] Bernstein M A, King K F, Zhou X J. Handbook of MRI Pulse Sequences[M]. Elsevier, 2004.
[3] Reiss T O, Khaneja N, Glaser S J. Time-optimal coherence-order-selective transfer of in-phase coherence in heteronuclear is spin systems[J]. J Magn Reson, 2002, 154(2): 192－195.
[4] Khaneja N, Reiss T, Luy B, et al. Optimal control of spin dynamics in the presence of relaxation[J]. J Magn Reson, 2003, 162: 311－319.
[5] Khaneja N, Reiss T, Kehlet C, et al. Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms[J]. J Magn Reson, 2005, 172: 296－305
[6] Kehlet C T, Sivertsen A C, Bjerring M, et al. Improving solid-state NMR dipolar recoupling by optimal control[J]. J Am Chem Soc, 2004, 126(33): 10 202－10 203.
[7] Tošner Z, Glaser S J, Khaneja N, et al. Effective hamiltonians by optimal control: Solid-state NMR double-quantum planar and isotropic dipolar recoupling[J]. J Chem Phys, 2006, 125(18): 184502.
[8] Khaneja N, Glaser S J, Brockett R. Sub-riemannian geometry and time optimal control of three spin systems: quantum gates and coherence transfer[J]. Phys Rev A, 2002, 65(3): 032301.
[9] Zhang Ya-juan(张亚娟), Xuan Ya-nan(轩亚楠), Wei Da-xiu(魏达秀). NMR experimental implementation of cluster state (Cluster 态的核磁共振实验制备)[J]. Chinese J Magn Reson(波谱学杂志), 2014, 31(1): 108－115.
[10] Schulte-Herbrüggen T, Spörl A K, Marx R, et al. Quantum computing implemented via optimal control: Theory and application to spin and pseudo-spin systems[J]. Lectures on Quantum Information, 2006: 481－501.
[11] Xu D, King K F, Zhu Y, et al. Designing multichannel, multidimensional, arbitrary flip angle RF pulses using an optimal control approach[J]. Magnet Reson Med, 2008, 59(3): 547-560.
[12] Vinding M S, Maximov I I, Tošner Z, et al. Fast numerical design of spatial-selective rf pulses in MRI using Krotov and quasi-Newton based optimal control methods[J]. J Chem Phys, 2012, 137(5): 054203.
[13] Skinner T E, Reiss T O, Luy B, et al. Reducing the duration of broadband excitation pulses using optimal control with limited RF amplitude[J]. J Magn Reson, 2004, 167(1): 68－74.
[14] Hashemi R H, Bradley W G, Lisanti C J. MRI: The Basics[M]. Lippincott Williams & Wilkins, 2012.
[15] de Fouquieres P, Schirmer S G, Glaser S J, et al. Second order gradient ascent pulse engineering[J]. J Magn Reson, 2011, 212(2): 412－417.
[16] Kobzar K, Skinner T E, Khaneja N, et al. Exploring the limits of broadband excitation and inversion pulses[J]. J Magn Reson, 2004, 170(2): 236－243.
[17] Kobzar K, Skinner T E, Khaneja N, et al. Exploring the limits of broadband excitation and inversion: II. Rf-power optimized pulses[J]. J Magn Reson, 2008, 194(1): 58－66.
/
| 〈 |
|
〉 |