Epstein Charles L
LSNI, Department of Radiology, HUP, USA.
J Magn Reson. 2004 Apr;167(2):185-210. doi: 10.1016/j.jmr.2003.12.014.
This paper considers a variety of problems in the design of selective RF-pulses. We apply a formula of Zakharov and Manakov to directly relate the energy of an RF-envelope to the magnetization profile and certain auxiliary parameters used in the inverse scattering transform (IST) approach to RF-pulse synthesis. This allows a determination of the minimum possible energy for a given magnetization profile. We give an algorithm to construct both the minimum energy RF-envelope as well as any other envelope that produces a given magnetization profile. This includes an algorithm for solving the Gel'fand-Levitan-Marchenko equations with bound states. The SLR method is analyzed in terms of traditional scattering data, and shown to be a special (singular) case of the IST approach. RF-envelopes are computed for a variety of examples.
本文考虑了选择性射频脉冲设计中的各种问题。我们应用扎哈罗夫和马纳科夫的一个公式，将射频包络的能量直接与磁化分布以及逆散射变换（IST）方法中用于射频脉冲合成的某些辅助参数联系起来。这使得能够确定给定磁化分布下的最小可能能量。我们给出了一种算法，用于构建最小能量射频包络以及产生给定磁化分布的任何其他包络。这包括一种求解具有束缚态的格尔范德 - 列维坦 - 马尔琴科方程的算法。根据传统散射数据对SLR方法进行了分析，并表明它是IST方法的一种特殊（奇异）情况。针对各种示例计算了射频包络。
