RDT Analysis Project

This webpage will serve as a central location to find references regarding the RDT project, as it develops.

Current collaborators:

• At University of Chicago: Lipi Gupta, Stas Baturin, Young-Kee Kim
• At Cornell University: Ivan Bazarov, Michael Erhlichman, Jim Sethna

Literature:

• Yunhai Cai. Singularity and stability in a periodic system of particle accelerators. Phys. Rev. Accel. Beams 21, 054002 – Published 23 May 2018 CaiPhysRevAccelBeams.21.054002.pdf
• Johan Bengtsson. The Sextupole Scheme for the Swiss Light Source (SLS): An Analytic Approach. SLS Note, March 7 1997 sls0997-1.pdf
• Johan Bengtsson and A. Streun. Robust Design Strategy of SLS-2. PSI. SLS2-BJ84-001.pdf
• Yunhai Cai, Karl Bane, Robert Hettel, Yuri Nosochkov, Min-Heuy Wang, Michael Borland. PEP-X: An ultimate storage ring based on fourth-order geometric achromats. SLAC Pub YCai_PEPX_SLAC PUB.pdf
• Yannis Papaphilippou. Chaos 24, 024412 (2014); doi: 10.1063/1.4884495 https://aip.scitation.org/doi/pdf/10.1063/1.4884495
• Original paper by Alex Dragt and John Finn on Lie series method 1.522868.pdf
• A draft of a book by Alex Dragt. On of the best books on applied math in accelerator physics I've seen so far.

Useful Books:

• V. Arnold. Ordinary Differential Equations
• V. Arnold. Mathematical Methods of Classical Mechanics.

Some papers on Double bend achromat:

• Original paper by Chasman and Green on DBA
• Another early study of DBA
• Diamond light source Phys Rev AB 2018
• Tripple bend achromat UK group 2016
• Pohang-Light source RSI 2010
• Analytical studies of DBA, RSI 2015
• Dynamic aperture for SPEAR3, SLAC 1999
• Diamond Light Source, Dynamics aperture optimisation
• Hybrid multibed achromat,ESRF group 2016

Group Meetings:

• August 24th, 2018
• August 30th, 2018

Other Resources:

• Yuri Eidelman. Introduction to Lie Operators for Accelerator Physics. https://www.aps.anl.gov/files/APS-sync/lsnotes/files/APS_1418211.pdf
• S.Y. Lee and Jing Yichao: http://physics.indiana.edu/~shylee/p571/Jing_Yichao/nonlinear.pdf

Resources by Andy Wolski on Non-Linear Beam Dynamics:

• http://pcwww.liv.ac.uk/~awolski/toc_Teaching.htm
• http://pcwww.liv.ac.uk/~awolski/Teaching/Cockcroft/NonlinearDynamics/NonlinearDynamics-Part1-Handout.pdf
• USPAS Course
• https://www.cockcroft.ac.uk/wp-content/uploads/2015/11/NonlinearDynamics-Part1.pdf