Title :
A hybrid numerical method for orbit correction
Author :
White, Greg ; Himel, Tom ; Shoaee, Hamid
Author_Institution :
Linear Accel. Center, Stanford Univ., CA, USA
Abstract :
We describe a simple hybrid numerical method for beam orbit correction in particle accelerators. The method overcomes both degeneracy in the linear system being solved and respects boundaries on the solution. It uses the singular value decomposition (SVD) to find and remove the null-space in the system, followed by a bounded linear least squares analysis of the remaining recast problem. It was developed for correcting orbit and dispersion in the B-factory rings
Keywords :
beam handling techniques; electron accelerators; least squares approximations; numerical analysis; singular value decomposition; storage rings; B-factory rings; beam orbit correction; bounded linear least squares analysis; hybrid numerical method; particle accelerators; singular value decomposition; Accelerator magnets; Equations; Extraterrestrial measurements; Least squares methods; Linear accelerators; Linear particle accelerator; Linear systems; Monitoring; Particle beams; Vectors;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.751228
