用伴随技术优化具有自场的扁变圆Transformers
Optimization of Flat to Round Transformers with Self-fields using Adjoint Techniques
摘要：
一个连续的系统的时刻方程的引入模型的带电粒子束的横向动力学，因为它通过一个任意的晶格的四极和双极在存在的自场。然后，品质因数的介绍，指定系统的特性进行优化。由此产生的模型是用来优化的晶格元素的参数的平面到圆形的Transformer与自场，可以应用于电子冷却。结果显示的情况下，没有自字段和两种情况下，自字段。优化是基于梯度下降算法，其中的梯度计算使用伴随方法，证明是非常有效的计算。研究和比较了两种品质因数：一种强调螺线管中径向力的平衡，另一种强调螺线管中横向束流能量的最小化。
英文摘要：
A continuous system of moment equations is introduced that models the transverse dynamics of a beam of charged particles as it passes through an arbitrary lattice of quadrupoles and solenoids in the presence of self-fields. Then, figures of merit are introduced specifying system characteristics to be optimized. The resulting model is used to optimize the parameters of the lattice elements of a flat to round transformer with self-fields, as could be applied in electron cooling. Results are shown for a case of no self-fields and two cases with self-fields. The optimization is based on a gradient descent algorithm in which the gradient is calculated using adjoint methods that prove to be very computationally efficient. Two figures of merit are studied and compared: one emphasizing radial force balance in the solenoid, the other emphasizing minimization of transverse beam energy in the solenoid.
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。
