Construction of universal rotations from point-to-point transformations

Construction of universal rotations from point-to-point transformations
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DOI:
10.1016/j.jmr.2005.06.002
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发表时间:
2005-10-01
影响因子:
2.2
通讯作者:
Glaser, SJ
Glaser, SJ
中科院分区:
化学3区
文献类型:
--
作者:
Luy, B;Kobzar, K;Glaser, SJ

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对于所需的偏移范围,可以基于具有一半翻转角的 I-y 点对点旋转来构造任意翻转角的通用旋转。该方法允许例如从宽带或带选择激励脉冲创建宽带或带选择重聚焦脉冲。此外,可以通过点对点变换获得绕任何轴的万向旋转,并且可以使用最优控制算法轻松优化这些变换。构造过程通过宽带重聚焦脉冲、宽带 120(x)(o) 旋转和带有偏移图案的 z 旋转的示例进行演示。 (c) 2005 Elsevier Inc. 保留所有权利。
For a desired range of offsets, universal rotations of arbitrary flip angle can be constructed based on point-to-point rotations of I-y with half the flip angle. This approach allows, for example, creation of broadband or bandselective refocussing pulses from broadband or bandselective excitation pulses. Furthermore, universal rotations about any axis can be obtained from point-to-point transformations that can easily be optimized using optimal control algorithms. The construction procedure is demonstrated on the examples of a broadband refocussing pulse, a broadband 120(x)(o) rotation and a z-rotation with offset pattern. (c) 2005 Elsevier Inc. All rights reserved.