超越分段常数近似的整形脉冲仿真与设计
Simulation and design of shaped pulses beyond the piecewise-constant approximation
AI总结：
针对谐振电路响应引发的振铃伪影导致电磁谱学仿真成本高、最优控制难的问题，提出用李群方法高效仿真和优化平滑控制序列，突破传统分段常数近似的局限。
摘要：
谐振电路的响应函数会在输入快速变化时产生振铃伪影。当探索电磁谱学的物理极限时，这会引发两类问题。其一为仿真问题：必须精确推进系统历经每一次响应瞬态，这可能带来高昂的计算成本。其二为最优控制问题：必须将电路响应纳入考量；设计能抵御此类失真的脉冲或具优势。两类问题的根源是旋转坐标系下控制序列常用的分段常数近似；在磁共振领域，该近似自早期便沿用至今，且已在商用硬件中根深蒂固。本文中，我们报道了近期李群方法的实现与基准测试结果，这类方法可高效仿真并优化平滑控制序列。
英文摘要：
Response functions of resonant circuits create ringing artefacts if their input changes rapidly. When physical limits of electromagnetic spectroscopies are explored, this creates two types of problems. Firstly, simulation: the system must be propagated accurately through every response transient, this may be computationally expensive. Secondly, optimal control: circuit response must be taken into account; it may be advantageous to design pulses that are resilient to such distortions. At the root of both problems is the popular piecewise-constant approximation for control sequences in the rotating frame; in magnetic resonance it has persisted since the earliest days and has become entrenched in the commercially available hardware. In this paper, we report an implementation and benchmarks of recent Lie-group methods that can efficiently simulate and optimise smooth control sequences.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
