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El. knyga: Introduction to the Physics of High Energy Accelerators [Wiley Online]

(SSC Laboratory, Dallas, TX), (SSC Laboratory, Dallas, TX)
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The first half deals with the motion of a single particle under the influence of electronic and magnetic fields. The basic language of linear and circular accelerators is developed. The principle of phase stability is introduced along with phase oscillations in linear accelerators and synchrotrons. Presents a treatment of betatron oscillations followed by an excursion into nonlinear dynamics and its application to accelerators. The second half discusses intensity dependent effects, particularly space charge and coherent instabilities. Includes tables of parameters for a selection of accelerators which are used in the numerous problems provided at the end of each chapter.
Series Preface ix
Preface xi
Introduction
1(17)
Prerequisites
3(4)
Uses of Accelerators
7(11)
Luminosity of a High Energy Collider
8(2)
Synchrotron Radiation Sources
10(2)
Problems
12(6)
Acceleration and Phase Stability
18(39)
Acceleration Methods
19(11)
DC Accelerators
19(2)
Time Varying Electromagnetic Fields
21(3)
Resonant Cavities
24(4)
Accelerating Structures
28(2)
Phase Stability
30(22)
Synchrotron Oscillations
31(10)
Adiabatic Damping and Longitudinal Emmittance
41(5)
Transition Crossing
46(6)
The Need for Transverse Focusing
52(5)
Problems
53(4)
Transverse Linear Motion
57(51)
Stability of Transverse Oscillations
58(8)
Weak Focusing
59(1)
Strong Focusing
60(3)
Stability Criterion
63(3)
Equation of Motion
66(19)
Piecewise Method of Solution
71(1)
Closed Form Solution
72(2)
Courant-Snyder Parameters
74(4)
Emittance and Admittance
78(5)
Adiabatic Damping of Betatron Oscillations
83(2)
Momentum Dispersion
85(6)
Equation of Motion for an Off-Momentum Particle
86(2)
Solution of Equation of Motion
88(3)
Linear Deviations from the Ideal Lattice
91(17)
Steering Errors and Corrections
91(3)
Focusing Errors and Corrections
94(2)
Chromaticity
96(3)
Problems
99(9)
Resonances and Transverse Nonlinear Motion
108(36)
Transverse Resonances
110(5)
Floquet Transformation
110(1)
Multiple Expansion
111(2)
The Driven Oscillator and Rational Numbers
113(2)
A Third-Integer Resonance
115(14)
Equation of Motion
116(2)
Recognition of the Sextupole Resonance
118(1)
First Integral and the Separatrix
119(3)
Application to Resonant Extraction
122(4)
Comments on Correction Systems
126(3)
The Hamiltonian Formalism
129(15)
Review of Hamiltonian Dynamics
129(2)
The Hamiltonian for Small Transverse Oscillations
131(4)
Transformations of the Hamiltonian
135(3)
The Third-Integer Resonance Revisited
138(2)
Problems
140(4)
Transverse Coupled Motion
144(28)
Linear Coupling
145(15)
Coupled Harmonic Oscillators
145(2)
Perturbation Treatment of a Single Skew Quadrupole
147(6)
Matrix Treatment of a Single Skew Quadrupole
153(2)
Matrix Formalism of Linear Coupling
155(5)
Nonlinear Coupling
160(12)
Two-Degree-of-Freedom Sum Resonance Due to Distribution of Sextupoles
160(6)
Multipoles and Resonance Lines
166(4)
Problems
170(2)
Intensity Dependent Effects
172(49)
Space Charge
173(7)
The Transverse Space Charge Force
173(2)
Equation of Motion in the Presence of Space Charge
175(1)
Incoherent Tune Shift
176(1)
The Beam-Beam Tune Shift
177(1)
Image Charge and Image Current Effects
178(2)
The Negative Mass Instability
180(6)
The Longitudinal Space Charge Field
181(2)
Perturbation of the Line Density
183(3)
Wake Fields and Impedance
186(13)
Field of a Relativistic Charge in Vacuum
187(2)
Wake Field for a Resistive Wall
189(6)
Wake Functions
195(2)
Impedance
197(2)
Macroparticle Models of Coherent Instabilities
199(6)
Beam Breakup in Linacs
199(2)
The Strong Head-Tail Instability
201(2)
The Head-Tail Instability
203(2)
Evolution of the Distribution Function
205(7)
The Vlasov Equation
206(1)
The Dispersion Relation
207(2)
Application to the Negative Mass Instability
209(3)
Landau Damping
212(9)
Problems
215(6)
Emittance Preservation
221(48)
Injection Mismatch
222(17)
Steering Errors
228(4)
Focusing Errors
232(7)
Diffusion Processes
239(13)
RF Noise and Excitation of Oscillations
246(3)
Beam-Gas Scattering
249(3)
Emittance Reduction
252(11)
Transverse Stochastic Cooling
253(5)
Longitudinal Stochastic Cooling
258(5)
Some Remarks on Beam Distributions
263(6)
Problems
265(4)
Synchrotron Radiation
269(14)
Radiation from Relativistic Particles
270(3)
Damping of Oscillations
273(4)
Quantum Fluctuations and Equilibrium Beam Size
277(6)
Problems
281(2)
Appendix A Tables of Accelerator Parameters 283(4)
Bibliography 287(2)
Index 289


The authors, D.A. Edwards and M.J. Syphers, are both with the SSC Laboratory, Dallas, Texas.