Bernal Santiago. A Practical Introduction to Beam Physics and Particle Accelerators

3rd Edition. — IOP Publ. Ltd., 2022. — 207 p. — ISBN 978-0-7503-4037-3.The third edition of this book maintains the same general character as the first two editions, which is a brief exposition with emphasis on numerical examples. However, we have expanded the discussion with new theoretical topics as well as applications. We have added two chapters (5 and 9) and an appendix B. The new chapter 5 is devoted to the beam (sigma) matrix and circular optics, major areas of accelerator theory and research. Chapter 9 is an extension of chapter 8 (which covers examples of linacs and rings, closed orbit, and beam cooling) but with examples of smaller machines, including Paul trap alternating-gradient lattice simulators. The chapter also introduces a few new concepts, such as instabilities in the isochronous regime, nonlinear integrable optics, and fixed-field alternating-gradient accelerators (FFAGs). The new appendix B, on the other hand, is a summary of accelerator magnet theory: multipole expansion, linear and nonlinear magnets, and the effective hard-edge model of focusing magnetsRays, matrices, and transfer maps
Linear magnetic lenses and deflectors
Periodic lattices and functions
Emittance and space charge
Beam (sigma) matrix and coupled optics
Longitudinal beam dynamics and radiation
Envelope matching, resonances, and dispersion
Linacs and rings (examples), closed orbit, and beam cooling
Small machines and scaled experimentsAppendix A. Computer resources and their use
Appendix B. Accelerator magnets