Practical introduction to beam physics and particle accelerators, A
Particle beams Particle accelerators
IOP Publishing
2018
Second edition.
EISBN 9781643270906
1. Rays, matrices, and transfer maps.
1.1. Paraxial approximation.
1.2. Thin lens.
1.3. Thick lens.
1.4. Transfer maps.
1.5. Computer resources
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. Effective hard-edge model of fringe fields in focusing magnets.
2.7. Computer resources
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
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
5. Longitudinal beam dynamics and radiation.
5.1. Radio-frequency (RF) linacs.
5.2. Beam bunch stability and RF bucket.
5.3. Synchrotron radiation.
5.4. Insertion devices and free-electron lasers (FELs).
5.5. Longitudinal beam emittance and space charge.
5.6. Computer resources
6. Envelope matching, resonances, and dispersion.
6.1. Cell envelope FODO matching.
6.2. Source-to-cell envelope matching.
6.3. Betatron resonances.
6.4. Betatron resonances and space charge.
6.5. Dispersion and space charge.
6.6. Computer resources
7. Linacs and rings (examples), closed orbit, and beam cooling.
7.1. Examples of linacs.
7.2. Examples of rings.
7.3. Closed orbit and correction.
7.4. Beam cooling.
7.5. Computer resources.
Appendix. Computer resources and their use.
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. However, it avoids detailed derivations, instead inviting the reader to use general high-end languages such as Mathcad and Matlab, as well as specialized particle accelerator codes (e.g. MAD, WinAgile, Elegant, and others) to explore the principles presented. This approach allows readers to readily identify relevant design parameters and their scaling. In addition, the computer input files can serve as templates that can be easily adapted to other related situations.
1.1. Paraxial approximation.
1.2. Thin lens.
1.3. Thick lens.
1.4. Transfer maps.
1.5. Computer resources
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. Effective hard-edge model of fringe fields in focusing magnets.
2.7. Computer resources
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
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
5. Longitudinal beam dynamics and radiation.
5.1. Radio-frequency (RF) linacs.
5.2. Beam bunch stability and RF bucket.
5.3. Synchrotron radiation.
5.4. Insertion devices and free-electron lasers (FELs).
5.5. Longitudinal beam emittance and space charge.
5.6. Computer resources
6. Envelope matching, resonances, and dispersion.
6.1. Cell envelope FODO matching.
6.2. Source-to-cell envelope matching.
6.3. Betatron resonances.
6.4. Betatron resonances and space charge.
6.5. Dispersion and space charge.
6.6. Computer resources
7. Linacs and rings (examples), closed orbit, and beam cooling.
7.1. Examples of linacs.
7.2. Examples of rings.
7.3. Closed orbit and correction.
7.4. Beam cooling.
7.5. Computer resources.
Appendix. Computer resources and their use.
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. However, it avoids detailed derivations, instead inviting the reader to use general high-end languages such as Mathcad and Matlab, as well as specialized particle accelerator codes (e.g. MAD, WinAgile, Elegant, and others) to explore the principles presented. This approach allows readers to readily identify relevant design parameters and their scaling. In addition, the computer input files can serve as templates that can be easily adapted to other related situations.
