My publications on the damping ring

K. M. Hock and A. Wolski, “Time evolution of coupled-bunch modes from beta function variation in storage rings,” Phys. Rev. ST Accel. Beams, vol. 10, no. 8, 084401 (2007)

K. M. Hock and A. Wolski, “Transient jitter from injection in storage rings,” Phys. Rev. ST Accel. Beams, vol. 12, no. 9, 091001 (2009)

K. M. Hock and A. Wolski, “The Effect of NEG Coating on Resistive Wall Wake Field,” Nuclear Instruments and Methods A, Volume 657, Issue 1, 21 November 2011, Pages 94-98.

Posters prepared for ILC exhibitions to UK undergraduates

These pages contain notes on the basics of damping rings. They are a result of my ongoing effort to learn about spin tracking from Dr Desmond Barber.

My approach to understanding the physics of damping rings is to bring together just enough of the basic ingredients in the accelerator physics of the damping ring, to calculate and observe some of the common features. I intend to do this using just Newtonian mechanics, which is more intuitive to me. No Hamiltonian mechanics is used.

The ingredients would include bending by magnetic fields, energy loss due to synchrotron radiation, and energy gain in the rf cavity. These are used to derived the matrix elements for dipoles, quadrupoles, sextupoles, rf cavities, etc. The matrices help us to calculate the change in position and momentum of an electron (or positron) each time it passes through a magnet, a cavity or a drift space on the ring. I shall use the thin lens approximation for all of these and see how far I can get. Using these, I hope to be able to calculate features like betatron oscillations, closed orbit, dispersion, radiation damping, synchrotron oscillations, phase stability, and maybe even a frequency map.

Instead of just taking notes from papers and books, I would like to turn this effort into an exercise with an objective. The objective of this exercise is twofold: to work out what is the smallest set of elements required to produce the above features, and to understand the basic physics of each matrix from first principles. I am guided in this undertaking by the endless patience of Dr Desmond Barber, as well as the following paper by Alex Chao :

Alexander W. Chao, "Evaluation of beam distribution parameters in an electron storage ring,"
Journal of Applied Physics, Volume 50, Issue 2, 01 Feb 1979.

or

Alexander W. Chao, "Evaluation of beam distribution parameters in an electron storage ring,"
SLAC-PUB-2143 June 1978, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305. which is mirrored here

which is mirrored here EVALUATION OF BEAM - CHAO.pdf

This is a work in progress. I shall add new links whenever I have the time.

Last modified 17 October 2011.