Series Preface |
|
ix | |
Preface |
|
xi | |
|
|
1 | (17) |
|
|
3 | (4) |
|
|
7 | (11) |
|
Luminosity of a High Energy Collider |
|
|
8 | (2) |
|
Synchrotron Radiation Sources |
|
|
10 | (2) |
|
|
12 | (6) |
|
Acceleration and Phase Stability |
|
|
18 | (39) |
|
|
19 | (11) |
|
|
19 | (2) |
|
Time Varying Electromagnetic Fields |
|
|
21 | (3) |
|
|
24 | (4) |
|
|
28 | (2) |
|
|
30 | (22) |
|
|
31 | (10) |
|
Adiabatic Damping and Longitudinal Emmittance |
|
|
41 | (5) |
|
|
46 | (6) |
|
The Need for Transverse Focusing |
|
|
52 | (5) |
|
|
53 | (4) |
|
|
57 | (51) |
|
Stability of Transverse Oscillations |
|
|
58 | (8) |
|
|
59 | (1) |
|
|
60 | (3) |
|
|
63 | (3) |
|
|
66 | (19) |
|
Piecewise Method of Solution |
|
|
71 | (1) |
|
|
72 | (2) |
|
Courant-Snyder Parameters |
|
|
74 | (4) |
|
|
78 | (5) |
|
Adiabatic Damping of Betatron Oscillations |
|
|
83 | (2) |
|
|
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) |
|
|
96 | (3) |
|
|
99 | (9) |
|
Resonances and Transverse Nonlinear Motion |
|
|
108 | (36) |
|
|
110 | (5) |
|
|
110 | (1) |
|
|
111 | (2) |
|
The Driven Oscillator and Rational Numbers |
|
|
113 | (2) |
|
A Third-Integer Resonance |
|
|
115 | (14) |
|
|
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) |
|
|
140 | (4) |
|
Transverse Coupled Motion |
|
|
144 | (28) |
|
|
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) |
|
|
160 | (12) |
|
Two-Degree-of-Freedom Sum Resonance Due to Distribution of Sextupoles |
|
|
160 | (6) |
|
Multipoles and Resonance Lines |
|
|
166 | (4) |
|
|
170 | (2) |
|
Intensity Dependent Effects |
|
|
172 | (49) |
|
|
173 | (7) |
|
The Transverse Space Charge Force |
|
|
173 | (2) |
|
Equation of Motion in the Presence of Space Charge |
|
|
175 | (1) |
|
|
176 | (1) |
|
|
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) |
|
|
195 | (2) |
|
|
197 | (2) |
|
Macroparticle Models of Coherent Instabilities |
|
|
199 | (6) |
|
|
199 | (2) |
|
The Strong Head-Tail Instability |
|
|
201 | (2) |
|
The Head-Tail Instability |
|
|
203 | (2) |
|
Evolution of the Distribution Function |
|
|
205 | (7) |
|
|
206 | (1) |
|
|
207 | (2) |
|
Application to the Negative Mass Instability |
|
|
209 | (3) |
|
|
212 | (9) |
|
|
215 | (6) |
|
|
221 | (48) |
|
|
222 | (17) |
|
|
228 | (4) |
|
|
232 | (7) |
|
|
239 | (13) |
|
RF Noise and Excitation of Oscillations |
|
|
246 | (3) |
|
|
249 | (3) |
|
|
252 | (11) |
|
Transverse Stochastic Cooling |
|
|
253 | (5) |
|
Longitudinal Stochastic Cooling |
|
|
258 | (5) |
|
Some Remarks on Beam Distributions |
|
|
263 | (6) |
|
|
265 | (4) |
|
|
269 | (14) |
|
Radiation from Relativistic Particles |
|
|
270 | (3) |
|
|
273 | (4) |
|
Quantum Fluctuations and Equilibrium Beam Size |
|
|
277 | (6) |
|
|
281 | (2) |
Appendix A Tables of Accelerator Parameters |
|
283 | (4) |
Bibliography |
|
287 | (2) |
Index |
|
289 | |