Wu Y K, Forest E, Robin D S
Department of Physics, Duke University, Durham, North Carolina 27708-0319, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046502. doi: 10.1103/PhysRevE.68.046502. Epub 2003 Oct 13.
This paper reports our recent work on explicit symplectic integration techniques for the charged particle motion in an s-dependent static magnetic field. Using the extended phase space, symplectic integrators can be developed for Hamiltonians with or without the paraxial approximation using either the space or time as an independent variable. This work extends the successful element-by-element tracking method for studying single-particle nonlinear dynamics to a set of s-dependent magnetic elements. Important applications of this work include the studies of the charged particle dynamics in a storage ring with various insertion devices, superconducting magnets, large aperture magnets with significant fringe fields, and solenoid magnets in the interaction region. Consequently, this work is expected to make an impact on design and optimal operation of existing and future light source rings and high energy physics accelerators.
本文报道了我们近期关于在依赖于s的静态磁场中带电粒子运动的显式辛积分技术的工作。利用扩展相空间，可以针对使用空间或时间作为自变量的哈密顿量，在有或没有傍轴近似的情况下开发辛积分器。这项工作将用于研究单粒子非线性动力学的成功的逐元素跟踪方法扩展到了一组依赖于s的磁性元件。这项工作的重要应用包括研究具有各种插入装置的储存环、超导磁体、具有显著边缘场的大孔径磁体以及相互作用区域中的螺线管磁体中的带电粒子动力学。因此，预计这项工作将对现有和未来光源环以及高能物理加速器的设计和优化运行产生影响。
