A differential algebraic integration algorithm for symplectic mappings in systems with three-dimensional magnetic field

被引：0

作者：

Chang, P

Lee, SY

Yan, YT ^{[1
]}

机构：

[1] Stanford Linear Accelerator Ctr, Stanford, CA 94309 USA

[2] Natl Synchrotron Radiat Res Ctr, Hsinchu 33077, Taiwan

[3] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2006年 / 558卷 / 01期

关键词：

differential algebras; symplectic integration; particle tracking; transfer maps;

D O I：

10.1016/j.nima.2005.11.016

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

A differential algebraic integration algorithm is developed for symplectic mapping through a three-dimensional (3-D) magnetic field. The self-consistent reference orbit in phase space is obtained by making a canonical transformation to eliminate the linear part of the Hamiltonian. Transfer maps from the entrance to the exit of any 3-D magnetic field are then obtained through slice-by-slice symplectic integration. The particle phase-space coordinates are advanced by using the integrable polynomial procedure. This algorithm is a powerful tool to attain nonlinear maps for insertion devices in synchrotron light source or complicated magnetic field in the interaction region in high energy colliders. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：66 / 68

页数：3