发表机构
Kindai University Technical College（近畿大学技术学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明局部残差误差保持并非级联复合脉冲的必要条件，通过允许误差生成元共同缩放，结合CORPSE和SCROFULOUS内脉冲与等旋转角外序列，实现两种系统误差的同时一阶补偿。
AI 中文摘要
残差误差保持（REP）为构造能够补偿多种系统误差的级联复合脉冲提供了充分条件。我们证明局部REP并非必要条件：偏离REP的情况可以在整个序列中相互抵消。利用一阶误差生成元，我们推导出级联保持外序列鲁棒性的充要条件。一个简单的充分条件是所有内脉冲将相应的基本误差生成元乘以一个共同的实数因子，该因子不一定等于1。我们使用脉冲长度误差和失谐误差（磁共振中常考虑的两种系统误差模型）来说明这一原理。短的CORPSE和SCROFULOUS各自补偿一种误差，而不在局部保持另一种误差。将这些内脉冲与合适的等旋转角外序列相结合，可以同时实现两种误差的一阶补偿，将级联复合脉冲设计扩展到局部REP之外。
英文摘要
Residual-error preservation (REP) provides a sufficient rule for constructing concatenated composite pulses that compensate multiple systematic errors. We show that local REP is not necessary: deviations from REP can cancel across the full sequence. Using first-order error generators, we derive a necessary and sufficient condition for concatenation to retain the robustness of an outer sequence. A simple sufficient condition is that all inner pulses rescale the corresponding elementary error generators by a common real factor, not necessarily unity. We illustrate this principle using pulse-length and off-resonance errors, two systematic error models commonly considered in magnetic resonance. Short CORPSE and SCROFULOUS each compensate one error without preserving the other locally. Combining these inner pulses with suitable equal-rotation-angle outer sequences yields simultaneous first-order compensation of both errors, extending concatenated composite-pulse design beyond local REP.
Comments10 pages, 1 figure, 1 table
