Practical Introduction to Beam Physics and Particle Accelerators

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This book provides a brief exposition of the principles of beam physics and particle accelerators with an emphasis on numerical examples employing readily available computer tools. Two new chapters in this new edition cover special lattice configurations known as coupled optics, and small machines employed for physics research in scaled experiments which cannot be easily tested in large accelerators. In addition, the general theory of accelerator magnets is presented in a new appendix.

Author(s): Santiago Bernal
Edition: 3
Publisher: IOP Publishing
Year: 2022

Language: English
Pages: 205
City: Bristol

PRELIMS.pdf
Preface to the third edition
Acknowledgements
Author biography
Santiago Bernal
CH001.pdf
Chapter 1 Rays, matrices, and transfer maps
1.1 Paraxial approximation
1.2 Thin lenses
1.3 Thick lenses
1.4 Transfer maps
1.5 Computer resources
References
CH002.pdf
Chapter 2 Linear magnetic lenses and deflectors
2.1 Magnetic rigidity, momentum, and cyclotron frequency
2.2 Solenoid focusing
2.3 Quadrupole focusing
2.4 The Kerst–Serber equations and weak focusing
2.5 Dipoles and edge focusing
2.6 Computer resources
References
CH003.pdf
Chapter 3 Periodic lattices and functions
3.1 Solenoid lattice
3.2 FODO lattice
3.3 Lattice and beam functions
3.4 Uniform-focusing (‘smooth’) approximation
3.5 Linear dispersion
3.6 Momentum compaction, transition gamma, and chromaticity
3.7 Computer resources
References
CH004.pdf
Chapter 4 Emittance and space charge
4.1 Liouville’s theorem and emittance
4.2 The Kapchinskij–Vladimirskij (K–V) and thermal distributions
4.3 Thermodynamics of charged-particle beams?
4.4 The K–V envelope equations and space-charge (SC) intensity parameters
4.5 Incoherent space-charge (SC) betatron tune shift
4.6 Coherent tune shift and Laslett coefficients
4.7 Computer resources
References
CH005.pdf
Chapter 5 Beam (sigma) matrix and coupled optics
5.1 Solenoid focusing revisited
5.2 Skew quadrupole
5.3 Beam (sigma) matrix
5.4 Coupled optics
5.5 Angular momentum and the envelope equation in solenoid
5.6 Round-to-flat (RTF) and flat-to-round (FTR) beam adapters
5.7 Computer resources
References
CH006.pdf
Chapter 6 Longitudinal beam dynamics and radiation
6.1 Radio-frequency (RF) linacs [1]
6.2 Beam bunch stability and RF buckets
6.3 Synchrotron radiation [1]
6.4 Insertion devices and free-electron lasers (FELs) [1]
6.5 Longitudinal beam emittance and space charge
6.6 Computer resources
References and additional reading
CH007.pdf
Chapter 7 Envelope matching, resonances, and dispersion
7.1 Cell envelope FODO matching
7.2 Source-to-cell envelope matching
7.3 Betatron resonances
7.4 Betatron resonances and space charge
7.5 Dispersion and space charge
7.6 Computer resources
References
CH008.pdf
Chapter 8 Linacs and rings (examples), closed orbit, and beam cooling
8.1 Examples of linacs
8.2 Examples of rings
8.3 Closed orbit and correction
8.4 Beam cooling
8.5 Computer resources
References
CH009.pdf
Chapter 9 Small machines and scaled experiments
9.1 The University of Maryland Electron Ring (UMER): a storage ring for space-charge research
9.1.1 UMER lattice and injection
9.1.2 Closed orbit
9.1.3 Betatron tunes and space charge
9.1.4 Betatron resonances and space charge
9.1.5 Soliton trains and multistream instability
9.1.6 Nonlinear optics
9.2 Small Isochronous Ring (SIR): space-charge effects in the isochronous regime
9.3 Integrable optics and other physics in IOTA
9.3.1 IOTA lattice and diagnostics
9.3.2 Nonlinear integrable and quasi-integrable optics
9.3.3 Optical stochastic cooling
9.3.4 Space-charge compensation and other experiments
9.4 Fixed-field alternating-gradient accelerators (FFAGs): lessons from EMMA
9.5 Beam stability and betatron resonances: Paul traps as model accelerators
9.6 Computer resources
References
APPA.pdf
Chapter
A.1 Hamiltonian dynamics and the symplectic condition
A.2 Lie algebra methods
A.3 Software and hardware
A.4 General tools
A.4.1 Mathcad
A.4.2 Matlab
A.4.3 Python
A.5 Matrix/map codes
A.5.1 MAD-8 and MAD-X
A.5.2 Elegant
A.5.3 Winagile
A.5.4 Marylie
A.6 Envelope codes
A.6.1 SPOT and MENV
A.6.2 TRACE 2-D and TRACE 3-D
A.7 Particle-in-cell codes
A.7.1 Warp
A.8 Mobile applications
A.9 Cloud computing
References
APPB.pdf
Chapter
B.1 Multipole expansion
B.2 Linear magnets
B.3 Lowest-order nonlinear magnets: sextupole and octupole magnets
B.4 Effective hard-edge model of fringe fields in focusing magnets
B.5 Computer resources
References