|
Hamiltonian Formulation of Beam Dynamics |
|
|
1 | (42) |
|
|
|
1 | (11) |
|
|
|
1 | (3) |
|
|
|
4 | (2) |
|
Canonical Transformations |
|
|
6 | (4) |
|
|
|
10 | (2) |
|
Hamiltonian Resonance Theory |
|
|
12 | (17) |
|
|
|
12 | (4) |
|
|
|
16 | (2) |
|
Resonance Patterns and Stop-Band Width |
|
|
18 | (7) |
|
|
|
25 | (4) |
|
|
|
29 | (10) |
|
|
|
29 | (9) |
|
Higher-Order Coupling Resonances |
|
|
38 | (1) |
|
|
|
39 | (1) |
|
Symplectic Transformation |
|
|
39 | (4) |
|
|
|
41 | (2) |
|
General Electromagnetic Fields |
|
|
43 | (30) |
|
General Transverse Magnetic-Field Expansion |
|
|
43 | (8) |
|
Third-Order Differential Equation of Motion |
|
|
51 | (6) |
|
|
|
57 | (9) |
|
Wiggler Field Configuration |
|
|
57 | (4) |
|
Focusing in a Wiggler Magnet |
|
|
61 | (3) |
|
Hard-Edge Model of Wiggler Magnets |
|
|
64 | (2) |
|
|
|
66 | (7) |
|
|
|
71 | (2) |
|
Dynamics of Coupled Motion |
|
|
73 | (20) |
|
|
|
73 | (2) |
|
Particle Motion in a Solenoidal Field |
|
|
75 | (5) |
|
Transverse Coupled Oscillations |
|
|
80 | (13) |
|
Equations of Motion in Coupling Systems |
|
|
80 | (1) |
|
Coupled Beam Dynamics in Skew Quadrupoles |
|
|
80 | (2) |
|
Equations of Motion in a Solenoid Magnet |
|
|
82 | (1) |
|
Transformation Matrix for a Solenoid Magnet |
|
|
83 | (3) |
|
Betatron Functions for Coupled Motion |
|
|
86 | (6) |
|
|
|
92 | (1) |
|
Higher-Order Perturbations |
|
|
93 | (34) |
|
Kinematic Perturbation Terms |
|
|
93 | (2) |
|
Control of the Central Beam Path |
|
|
95 | (7) |
|
Dipole Field Errors and Dispersion Function |
|
|
102 | (3) |
|
Dispersion Function in Higher Order |
|
|
105 | (9) |
|
Chromaticity in Higher Approximation |
|
|
107 | (3) |
|
|
|
110 | (4) |
|
Perturbation Methods in Beam Dynamics |
|
|
114 | (13) |
|
Periodic Distribution of Statistical Perturbations |
|
|
115 | (6) |
|
Statistical Methods to Evaluate Perturbations |
|
|
121 | (5) |
|
|
|
126 | (1) |
|
Hamiltonian Nonlinear Beam Dynamics |
|
|
127 | (36) |
|
Higher-Order Beam Dynamics |
|
|
127 | (9) |
|
|
|
127 | (4) |
|
Nonlinear Matrix Formalism |
|
|
131 | (5) |
|
|
|
136 | (16) |
|
|
|
137 | (6) |
|
Filamentation of Phase Space |
|
|
143 | (4) |
|
|
|
147 | (2) |
|
|
|
149 | (3) |
|
Hamiltonian Perturbation Theory |
|
|
152 | (11) |
|
Tune Shift in Higher Order |
|
|
158 | (2) |
|
|
|
160 | (3) |
|
Charged Particle Acceleration |
|
|
163 | (66) |
|
Accelerating Fields in Resonant rf Cavities |
|
|
163 | (18) |
|
|
|
164 | (1) |
|
|
|
165 | (5) |
|
|
|
170 | (5) |
|
Cavity Losses and Shunt Impedance |
|
|
175 | (4) |
|
Determination of rf Parameters |
|
|
179 | (2) |
|
|
|
181 | (27) |
|
Coupling Between rf Field and Particles |
|
|
181 | (6) |
|
Beam Loading and rf System |
|
|
187 | (5) |
|
Higher-Order Mode Losses in an rf Cavity |
|
|
192 | (5) |
|
Beam Loading in Circular Accelerators |
|
|
197 | (11) |
|
Higher-Order Phase Focusing |
|
|
208 | (12) |
|
Path Length in Higher Order |
|
|
208 | (2) |
|
Higher-Order Phase Space Motion |
|
|
210 | (4) |
|
|
|
214 | (6) |
|
FODO Lattice and Acceleration |
|
|
220 | (9) |
|
Transverse Beam Dynamics and Acceleration |
|
|
222 | (3) |
|
|
|
225 | (2) |
|
|
|
227 | (2) |
|
|
|
229 | (40) |
|
Theory of Synchrotron Radiation |
|
|
229 | (7) |
|
|
|
229 | (7) |
|
Synchrotron Radiation Power and Energy Loss |
|
|
236 | (5) |
|
Spatial Distribution of Synchrotron Radiation |
|
|
241 | (4) |
|
Synchrotron Radiation Spectrum |
|
|
245 | (24) |
|
Radiation Field in the Frequency Domain |
|
|
246 | (5) |
|
Spectral Distribution in Space and Polarization |
|
|
251 | (9) |
|
Angle-Integrated Spectrum |
|
|
260 | (7) |
|
|
|
267 | (2) |
|
Hamiltonian Many-Particle Systems |
|
|
269 | (36) |
|
|
|
269 | (10) |
|
Betatron Oscillations and Perturbations |
|
|
275 | (2) |
|
|
|
277 | (2) |
|
Damping of Oscillations in Electron Accelerations |
|
|
279 | (12) |
|
Damping of Synchrotron Oscillations |
|
|
279 | (6) |
|
Damping of Vertical Betatron Oscillations |
|
|
285 | (2) |
|
Robinson's Damping Criterion |
|
|
287 | (3) |
|
Damping of Horizontal Betatron Oscillations |
|
|
290 | (1) |
|
The Fokker-Planck Equation |
|
|
291 | (14) |
|
Stationary Solution of the Fokker-Planck Equation |
|
|
294 | (4) |
|
Particle Distribution Within a Finite Aperture |
|
|
298 | (3) |
|
Particle Distribution in the Absence of Damping |
|
|
301 | (1) |
|
|
|
302 | (3) |
|
|
|
305 | (20) |
|
Particle Distribution in Phase Space |
|
|
305 | (6) |
|
Diffusion Coefficient and Synchrotron Radiation |
|
|
305 | (3) |
|
Quantum Excitation of Beam Emittance |
|
|
308 | (1) |
|
Horizontal Equilibrium Beam Emittance |
|
|
308 | (1) |
|
Vertical Equilibrium Beam Emittance |
|
|
309 | (2) |
|
Equilibrium Energy Spread and Bunch Length |
|
|
311 | (2) |
|
|
|
313 | (7) |
|
Exchange of Transverse Phase-Space Parameters |
|
|
313 | (1) |
|
Exchange of Longitudinal Phase-Space Parameters |
|
|
314 | (6) |
|
Polarization of Particle Beam |
|
|
320 | (5) |
|
|
|
323 | (2) |
|
|
|
325 | (81) |
|
|
|
325 | (7) |
|
|
|
326 | (2) |
|
|
|
328 | (1) |
|
|
|
328 | (2) |
|
|
|
330 | (2) |
|
|
|
332 | (13) |
|
|
|
332 | (2) |
|
Fields from Image Charges |
|
|
334 | (4) |
|
|
|
338 | (5) |
|
Longitudinal Space-Charge Field |
|
|
343 | (2) |
|
|
|
345 | (5) |
|
Wake Fields and Impedance |
|
|
350 | (18) |
|
Definitions of Wake Field and Impedance |
|
|
353 | (8) |
|
Impedances in an Accelerator Environment |
|
|
361 | (7) |
|
Coasting-Beam Instabilities |
|
|
368 | (14) |
|
Negative-Mass Instability |
|
|
368 | (4) |
|
|
|
372 | (6) |
|
|
|
378 | (2) |
|
Transverse Coasting-Beam Instability |
|
|
380 | (2) |
|
Longitudinal Single-Bunch Effects |
|
|
382 | (8) |
|
Potential-Well Distortion |
|
|
382 | (8) |
|
Transverse Single-Bunch Instabilities |
|
|
390 | (9) |
|
Beam Break-Up in Linear Accelerators |
|
|
390 | (2) |
|
|
|
392 | (5) |
|
|
|
397 | (2) |
|
Multi-Bunch Instabilities |
|
|
399 | (7) |
|
|
|
404 | (2) |
|
Insertion Device Radiation |
|
|
406 | (29) |
|
Particle Dynamics in a Undulator |
|
|
407 | (2) |
|
|
|
409 | (3) |
|
Undulator Radiation Distribution |
|
|
412 | (17) |
|
|
|
429 | (6) |
|
|
|
434 | (1) |
| Appendix |
|
435 | (10) |
| References |
|
445 | (8) |
| Suggested Reading |
|
453 | (8) |
| Author Index |
|
461 | (4) |
| Subject Index |
|
465 | |
Biežāk uzdotie jautājumi par e-grāmatām