目錄
Preface
1 Introduction
1.1 Differences or Differentials?
1.2 Phase Space Co-ordinates
1.3 Iterations,Ancient and Modern
1.4 Accelerator History:The Two Golden Ages
Exercises
2 Linear Motion
2.1 Stable Oscillations
2.2 Transverse Motion through Magnets
2.3 Matrix Equations of Motion
Exercises
3 Strong Focusing Transverse Optics
3.1 Linear Stability and Twiss Functions
3.2 Turn-by-Turn Motion in Phase Space
3.3 Propagation across a Fraction of a Turn
3.4 Continuous Propagation
3.5 FODO Cell Optics
Exercises
4 Longitudinal and Off-Momentum Motion
4.1 Constant Momentum Offset:Transverse Motion
4.2 The Dispersion Function
4.3 Oscillating Momentum:Longitudinal Motion
4.4 The Standard Map
Exercises
5 Action and Emittance-One Particle or Many?
5.1 Transverse Action-Angle Co-ordinates
5.2 Unnormalised Emittances and Beam Sizes
5.3 Tune Spread and Filamentation
5.4 Linac(Phase Space Area)Emittances
5.5 Normalised Emittance and Adiabatic Damping
5.6 Longitudinal Phase Space Parameters
Exercises
6 Magnets
6.1 Normal and Skew Multipole Magnets
6.2 Iron-Dominated Magnets
6.3 Conductor-Dominated Magnets
6.4 Field Quality and Errors
Exercises
7 RF Cavities
7.1 Waveguides
7.2 Transverse Modes
7.3 Cylindrical Resonant Cavities-Pill-Boxes
7.4 Cavity Performance Limits
Exercises
8 Linear Errors and Their Correction
8.1 Trajectory and Closed Orbit Errors
8.2 Linear Coupling
8.3 Tune Shifts and B-Waves
Exercises
9 Sextupoles,Chromaticity and the Henon Map
9.1 Chromaticity in a FODO Lattice
9.2 Chromaticity Correction
9.3 The Henon Map-A Unit Strength Sextupole in 1-D
9.4 A Taxonomy of 1-D Motion
9.5 Dynamic Aperture
Exercises
10 Octupoles,Detuning and Slow Extraction
10.1 Single Octupole Lattice
10.2 Discrete Motion in Action-Angle Space,(J,p)
10.3 Two-Turn Motion with Q?1/2
10.4 Slow Extraction near the Half-Integer
Exercises
11 synchrotron Radiation-Classical Damping
11.1 Spectrum and Distribution Pattern
11.2 EnergY.Loss Per Turn and Longitudinal Damping
11.3 Continuous Acceleration
11.4 Transverse Damping and Partition Numbers
Exercises
12 synchrotron Radiation -Quantum Excitation
12.1 Energy Spread
12.2 Horizontal Emittance
12.3 Vertical Emittance
Exercises
13 Linacs-Protons and Ions
13.1 Time Structures
13.2 Multi-Cell Synchronism
13.3 Linear Motion
13.4 Radio Frequency Quadrupoles
13.5 Beam Losses and Haloes
Exercises
14 Linacs-Electrons
14.1 Longitudinal and Transverse Focusing
14.2 RF Capture
14.3 Bunch Compression
14.4 Recirculating and Energy Recovery Linacs
14.5 Beam Breakup
Exercises
15 The Beam-Beam Interaction and 1-D Resonances
15.1 Round Beam-Beam Interaction
15.2 First-Order Theory of 1-D Resonances
15.3 Resonance Island Tunes and Widths
Exercises
16 Routes to Chaos
16.1 Resonance Overlap
16.2 Tune Modulation
16.3 Dynamical Zones in Tune Modulation Space
Exercises
Appendix A Selected Formulae for Accelerator Design
A.1 Matrices for Linear Motion through Accelerator Elements
A.2 Propagation of Twiss Functions
References
Index
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