Introductory Beam Dynamics
— Lectures to Fermilab Operators – April 2020
last update: 04 May 2020
Overview
(45-50 min each + questions)
- Beams and Emittance — ellipses, ellipse parameters and emittance; the transport of beam through magnetic systems.
- Courant-Snyder approach to beam dynamics — the beta function and phase advance; matrices and calculations; stability; betatron tune; dispersion
- Steering (dipole) errors/adjustments; focusing (quadrupole) errors/adjustments; chromaticity and sextupoles; nonlinear motion, resonances, and slow extraction.
- Acceleration and cavities; longitudinal equations of motion and synchrotron oscillation; buckets, bunches, batches; manipulations.
Textbooks and Software
Recommended Reading:
Edwards, D.A., and M.J. Syphers, An Introduction to the Physics of High Energy Accelerators. 2nd ed. New York, New York: Wiley (1993) (Edwards and Syphers 1993).
- S.Y. Lee, Accelerator Physics (Fourth Edition), Singapore: World Scientific (2019) (Lee 2018).
M. Conte and W. Mackay, An Introduction to the Physics of Particle Accelerators (Second Edition), Singapore: World Scientific (Conte and MacKay 2008).
Also see: Some Tutorials
Software used in many examples:
- R (R Core Team 2016).
Rstudio (RStudio 2019).
- A good starter book for R: Andrie de Vries and Joris Meys, R for Dummies, John Wiley & Sons (2015)
Another one: Mike McGrath, R for Data Analysis, In Easy Steps Limited (2018)
Northern Illinois University and Fermi National Accelerator Laboratory↩