Title :
LIEMAP: a program for extracting a one-turn single exponent Lie generator map
Author :
Sen, Tanaji ; Yan, Y.T. ; Irwin, J.
Author_Institution :
Superconducting Super Collider Lab., Dallas, TX, USA
Abstract :
A method for computing a one-turn map for a storage ring is presented. Each element of the lattice is represented by a matrix for a linear element followed by a Lie generator for a nonlinear multipole kick. All matrices are moved to the front of the lattice and multiplied to form a single matrix. This rearrangement also changes each nonlinear Lie operator by a similarity transformation. The Campbell-Baker-Hausdorff (CBH) theorem is used to combine successive nonlinear generators into one generator which is then expressed as a perturbative series in the multipole strengths. In principle, the program can be used to compute the CBH series in any desired order. Routines from a differential algebra library ZLIB are used to perform all operations.<>
Keywords :
particle beam diagnostics; physics computing; storage rings; LIEMAP program; ZLIB; lattice; linear element; multipole strengths; nonlinear multipole kick; one-turn map; one-turn single exponent Lie generator map; perturbative series; similarity transformation; storage ring; Contracts; Laboratories; Lattices; Lenses; Libraries; Linear accelerators; Protection; Storage rings;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164295
