| Preface |
|
vii | |
| Preface to Third Edition |
|
ix | |
| Preface to Second Edition |
|
xi | |
| Preface to First Edition |
|
xiii | |
| Acknowledgments |
|
xv | |
| Symbols and Notations |
|
xxix | |
| List of Tables |
|
xxxiii | |
| 1 Introduction |
|
1 | (32) |
|
I Historical Developments |
|
|
4 | (14) |
|
|
|
5 | (1) |
|
I.2 Electrostatic Accelerators |
|
|
5 | (1) |
|
I.3 Induction Accelerators |
|
|
6 | (2) |
|
I.4 Radio-Frequency (RF) Accelerators |
|
|
8 | (8) |
|
I.5 Colliders and Storage Rings |
|
|
16 | (2) |
|
I.6 Synchrotron Radiation Storage Rings |
|
|
18 | (1) |
|
II Layout and Components of Accelerators |
|
|
18 | (4) |
|
II.1 Acceleration Cavities |
|
|
19 | (1) |
|
|
|
20 | (2) |
|
II.3 Other Important Components |
|
|
22 | (1) |
|
III Accelerator Applications |
|
|
22 | (11) |
|
III.1 High Energy and Nuclear Physics |
|
|
22 | (1) |
|
III.2 Solid-State and Condensed-Matter Physics |
|
|
23 | (1) |
|
|
|
23 | (1) |
|
|
|
24 | (9) |
| 2 Transverse Motion |
|
33 | (196) |
|
I Hamiltonian for Particle Motion in Accelerators |
|
|
34 | (10) |
|
I.1 Hamiltonian in Frenet-Serret Coordinate System |
|
|
35 | (2) |
|
I.2 Magnetic Field in Frenet-Serret Coordinate System |
|
|
37 | (1) |
|
I.3 Equation of Betatron Motion |
|
|
38 | (1) |
|
I.4 Particle Motion in Dipole and Quadrupole Magnets |
|
|
39 | (1) |
|
|
|
40 | (4) |
|
II Linear Betatron Motion |
|
|
44 | (36) |
|
II.1 Transfer Matrix and Stability of Betatron Motion |
|
|
44 | (3) |
|
II.2 Courant-Snyder Parametrization |
|
|
47 | (1) |
|
II.3 Floquet Transformation |
|
|
48 | (5) |
|
|
|
50 | (1) |
|
|
|
50 | (2) |
|
|
|
52 | (1) |
|
II.4 Action-Angle Variable and Floquet Transformation |
|
|
53 | (2) |
|
II.5 Courant-Snyder Invariant and Emittance |
|
|
55 | (5) |
|
|
|
56 | (1) |
|
|
|
57 | (1) |
|
|
|
57 | (2) |
|
D Gaussian distribution function |
|
|
59 | (1) |
|
E Adiabatic damping and the normalized emittance |
|
|
60 | (1) |
|
II.6 Stability of Betatron Motion: A FODO Cell Example |
|
|
60 | (1) |
|
II.7 Symplectic Condition |
|
|
61 | (1) |
|
II.8 Effect of Space-Charge Force on Betatron Motion |
|
|
62 | (7) |
|
A The Kapchinskij-Vladimirskij (KV) distribution |
|
|
62 | (1) |
|
|
|
63 | (2) |
|
C The envelope equation for a space charge dominated beam |
|
|
65 | (1) |
|
D A uniform focusing paraxial system |
|
|
66 | (1) |
|
E Space-charge force for gaussian distribution |
|
|
67 | (2) |
|
|
|
69 | (11) |
|
III Effect of Linear Magnet Imperfections |
|
|
80 | (42) |
|
III.1 Closed-Orbit in the Presence of Dipole Field Error |
|
|
80 | (6) |
|
A The perturbed closed orbit and Green's function |
|
|
80 | (2) |
|
B Distributed dipole field error |
|
|
82 | (1) |
|
C The integer stopband integrals |
|
|
82 | (1) |
|
D Statistical estimation of closed-orbit errors |
|
|
83 | (1) |
|
E Closed-orbit correction |
|
|
83 | (1) |
|
F Effects of dipole field error on orbit length |
|
|
84 | (2) |
|
III.2 Extended Matrix Method for the Closed Orbit |
|
|
86 | (1) |
|
III.3 Application of Dipole Field Error |
|
|
86 | (9) |
|
|
|
86 | (1) |
|
B Fast kick for beam extraction |
|
|
87 | (2) |
|
C Effects of rf dipole field, rf knock-out |
|
|
89 | (2) |
|
D Orbit response matrix and accelerator modeling |
|
|
91 | (3) |
|
E Model Independent Analysis |
|
|
94 | (1) |
|
III.4 Quadrupole Field (Gradient) Errors |
|
|
95 | (4) |
|
|
|
95 | (1) |
|
B Betatron amplitude function modulation (beta-beat) |
|
|
96 | (1) |
|
C The half-integer stopband integrals |
|
|
96 | (2) |
|
D Example of one quadrupole error in FODO cell lattice |
|
|
98 | (1) |
|
E Statistical estimation of stopband integrals |
|
|
98 | (1) |
|
F Effect of a zero tune shift π-doublet quadrupole pair |
|
|
98 | (1) |
|
III.5 Basic Beam Observation of Transverse Motion |
|
|
99 | (3) |
|
A Beam position monitor (BPM) |
|
|
99 | (1) |
|
B Measurements of betatron tune and phase-space ellipse |
|
|
100 | (2) |
|
III.6 Application of Quadrupole Field Error |
|
|
102 | (1) |
|
|
|
102 | (1) |
|
|
|
102 | (1) |
|
|
|
103 | (5) |
|
A Transverse spectra of a particle |
|
|
103 | (2) |
|
B Fourier spectra of a single beam with finite time span |
|
|
105 | (1) |
|
C Fourier spectra of many particles and Schottky noise |
|
|
106 | (2) |
|
III.8 Beam, Injection and Extraction |
|
|
108 | (2) |
|
A Beam injection and extraction |
|
|
108 | (1) |
|
|
|
109 | (1) |
|
III.9 Mechanisms of Emittance Dilution and Diffusion |
|
|
110 | (5) |
|
A Emittance diffusion due to random scattering processes |
|
|
110 | (1) |
|
|
|
111 | (3) |
|
C Emittance evolution measurements and modeling |
|
|
114 | (1) |
|
|
|
115 | (7) |
|
|
|
122 | (36) |
|
|
|
122 | (4) |
|
|
|
124 | (1) |
|
B Dispersion function in terms of transfer matrix |
|
|
125 | (1) |
|
C Effect of dipole and quadrupole error on dispersion function |
|
|
126 | (1) |
|
IV.2 H-Function, Action, and Integral Representation |
|
|
126 | (2) |
|
IV.3 Momentum Compaction Factor |
|
|
128 | (4) |
|
A Transition energy and phase-slip factor |
|
|
129 | (1) |
|
B Phase stability of synchrotron motion |
|
|
130 | (1) |
|
C Effect of dispersion on the response matrix of the ORM |
|
|
131 | (1) |
|
IV.4 Dispersion Suppression and Dispersion Matching |
|
|
132 | (2) |
|
IV.5 Achromat Transport Systems |
|
|
134 | (2) |
|
|
|
136 | (1) |
|
IV.7 Experimental Measurements of Dispersion Function |
|
|
137 | (1) |
|
IV.8 Transition Energy Manipulation |
|
|
138 | (8) |
|
|
|
139 | (2) |
|
B Flexible momentum compaction (FMC) lattices |
|
|
141 | (5) |
|
|
|
146 | (4) |
|
|
|
150 | (8) |
|
|
|
158 | (13) |
|
V.1 Chromaticity Measurement and Correction |
|
|
159 | (4) |
|
A Chromaticity measurement |
|
|
159 | (1) |
|
|
|
160 | (2) |
|
C Nonlinear modeling from chromaticity measurement |
|
|
162 | (1) |
|
V.2 Nonlinear Effects of Chromatic Sextupoles |
|
|
163 | (1) |
|
V.3 Chromatic Aberration and Correction |
|
|
163 | (5) |
|
A Systematic chromatic half-integer stopband width |
|
|
164 | (1) |
|
B Chromatic stopband integrals of FODO cells |
|
|
165 | (1) |
|
C The chromatic stopband integral of insertions |
|
|
166 | (1) |
|
D Effect of the chromatic stopbands on chromaticity |
|
|
166 | (1) |
|
E Effect of sextupoles on the chromatic stopband integrals |
|
|
167 | (1) |
|
V.4 Lattice Design Strategy |
|
|
168 | (1) |
|
|
|
169 | (2) |
|
|
|
171 | (15) |
|
VI.1 The Linear Coupling Hamiltonian |
|
|
171 | (2) |
|
VI.2 Effects of an Isolated Linear Coupling Resonance |
|
|
173 | (4) |
|
A Normal modes at a single linear coupling resonance |
|
|
174 | (1) |
|
B Resonance precessing frame and Poincare surface of section |
|
|
174 | (1) |
|
C Initial horizontal orbit |
|
|
175 | (1) |
|
D General linear coupling solution |
|
|
176 | (1) |
|
VI.3 Experimental Measurement of Linear Coupling |
|
|
177 | (3) |
|
VI.4 Linear Coupling Correction with Skew Quadrupoles |
|
|
180 | (1) |
|
VI.5 Linear Coupling Using Transfer Matrix Formalism |
|
|
181 | (1) |
|
|
|
181 | (5) |
|
|
|
186 | (24) |
|
VII.1 Nonlinear Resonances Driven by Sextupoles |
|
|
186 | (7) |
|
|
|
186 | (1) |
|
B The leading order resonances driven by sextupoles |
|
|
187 | (2) |
|
C The third order resonance at 3vx = l |
|
|
189 | (2) |
|
D Experimental measurement of a 3vx = l resonance |
|
|
191 | (1) |
|
E Other 3rd-order resonances driven by sextupoles |
|
|
192 | (1) |
|
VII.2 Higher-Order Resonances |
|
|
193 | (3) |
|
VII.3 Nonlinear Detuning from Sextupoles and Octupoles |
|
|
196 | (1) |
|
VII.4 Betatron Tunes and Nonlinear Resonances |
|
|
197 | (6) |
|
A Emittance growth, beam loss and dynamic aperture |
|
|
198 | (1) |
|
B Tune diffusion rate and dynamic aperture |
|
|
199 | (2) |
|
|
|
201 | (2) |
|
|
|
203 | (7) |
|
VIII Collective Instability and Landau Damping |
|
|
210 | (14) |
|
|
|
210 | (3) |
|
A Resistive wall impedance |
|
|
210 | (1) |
|
|
|
211 | (1) |
|
|
|
212 | (1) |
|
|
|
212 | (1) |
|
E Properties of the transverse impedance |
|
|
212 | (1) |
|
VIII.2 Transverse Wave Modes |
|
|
213 | (1) |
|
VIII.3 Effect of Wakefield on Transverse Wave |
|
|
214 | (4) |
|
A Beam with zero frequency spread |
|
|
216 | (1) |
|
B Beam with finite frequency spread |
|
|
216 | (1) |
|
C A model of collective motion |
|
|
217 | (1) |
|
VIII.4 Frequency Spread and Landau Damping |
|
|
218 | (3) |
|
|
|
218 | (2) |
|
B Solutions of dispersion integral with Gaussian distribution |
|
|
220 | (1) |
|
|
|
221 | (3) |
|
IX Synchro-Betatron Hamiltonian |
|
|
224 | (5) |
|
|
|
228 | (1) |
| 3 Synchrotron Motion |
|
229 | (168) |
|
I Longitudinal Equation of Motion |
|
|
230 | (11) |
|
I.1 The Synchrotron Hamiltonian |
|
|
233 | (2) |
|
I.2 The Synchrotron Mapping Equation |
|
|
235 | (1) |
|
I.3 Evolution of Synchrotron Phase-Space Ellipses |
|
|
236 | (1) |
|
I.4 Some Practical Examples |
|
|
237 | (1) |
|
I.5 Summary of Synchrotron Equations of Motion |
|
|
237 | (1) |
|
A Using t as independent variable |
|
|
237 | (1) |
|
B Using longitudinal distance s as independent variable |
|
|
238 | (1) |
|
|
|
238 | (3) |
|
II Adiabatic Synchrotron Motion |
|
|
241 | (15) |
|
|
|
241 | (1) |
|
|
|
242 | (2) |
|
II.3 Small-Amplitude Oscillations and Bunch Area |
|
|
244 | (3) |
|
A Gaussian beam distribution |
|
|
244 | (1) |
|
B Synchrotron motion in reference time coordinates |
|
|
245 | (1) |
|
C Approximate action-angle variables |
|
|
246 | (1) |
|
II.4 Small-Amplitude Synchrotron Motion at the UFP |
|
|
247 | (1) |
|
II.5 Synchrotron Motion for Large-Amplitude Particles |
|
|
247 | (2) |
|
A Stationary synchrotron motion |
|
|
248 | (1) |
|
|
|
248 | (1) |
|
II.6 Experimental Tracking of Synchrotron Motion |
|
|
249 | (2) |
|
|
|
251 | (5) |
|
III RF Phase and Voltage Modulations |
|
|
256 | (29) |
|
III.1 Normalized Phase-Space Coordinates |
|
|
256 | (3) |
|
III.2 RF Phase Modulation and Parametric Resonances |
|
|
259 | (5) |
|
A Effective Hamiltonian near a parametric resonance |
|
|
260 | (1) |
|
|
|
260 | (2) |
|
|
|
262 | (1) |
|
D Separatrix of resonant islands |
|
|
263 | (1) |
|
III.3 Measurements of Synchrotron Phase Modulation |
|
|
264 | (3) |
|
A Sinusoidal rf phase modulation |
|
|
264 | (1) |
|
B Action angle derived from measurements |
|
|
265 | (1) |
|
C Poincare surface of section |
|
|
266 | (1) |
|
III.4 Effects of Dipole Field Modulation |
|
|
267 | (8) |
|
A Chaotic nature of parametric resonances |
|
|
269 | (1) |
|
B Observation of attractors |
|
|
270 | (2) |
|
C The hysteretic phenomena of attractors |
|
|
272 | (1) |
|
D Systematic property of parametric resonances |
|
|
273 | (2) |
|
III.5 RF Voltage Modulation |
|
|
275 | (5) |
|
A The equation of motion with rf voltage modulation |
|
|
275 | (1) |
|
B The perturbed Hamiltonian |
|
|
276 | (1) |
|
|
|
277 | (1) |
|
|
|
277 | (2) |
|
|
|
279 | (1) |
|
F The amplitude dependent island tune of 2:1 parametric resonance |
|
|
279 | (1) |
|
III.6 Measurement of RF Voltage Modulation |
|
|
280 | (2) |
|
A Voltage modulation control loop |
|
|
280 | (1) |
|
B Observations of the island structure |
|
|
281 | (1) |
|
|
|
282 | (3) |
|
IV Nonadiabatic and Nonlinear Synchrotron Motion |
|
|
285 | (15) |
|
IV.1 Linear Synchrotron Motion Near Transition Energy |
|
|
286 | (3) |
|
A The asymptotic properties of the phase space ellipse |
|
|
288 | (1) |
|
B The Gaussian distribution function at transition energy |
|
|
289 | (1) |
|
1V.2 Nonlinear Synchrotron Motion γ is approximately equal to γT |
|
|
289 | (3) |
|
IV.3 Beam Manipulation Near Transition Energy |
|
|
292 | (1) |
|
|
|
292 | (1) |
|
B Momentum aperture for faster beam acceleration |
|
|
292 | (1) |
|
C Flatten the rf wave near transition energy |
|
|
292 | (1) |
|
IV.4 Synchrotron Motion with Nonlinear Phase Slip Factor |
|
|
293 | (2) |
|
IV.5 The QI Dynamical Systems |
|
|
295 | (4) |
|
|
|
299 | (1) |
|
V Beam Manipulation in Synchrotron Phase Space |
|
|
300 | (30) |
|
V.1 RF Frequency Requirements |
|
|
301 | (2) |
|
A The choice of harmonic number |
|
|
302 | (1) |
|
B The choice of rf voltage |
|
|
302 | (1) |
|
V.2 Capture and Acceleration of Proton and Ion Beams |
|
|
303 | (2) |
|
|
|
303 | (1) |
|
|
|
303 | (2) |
|
C Chopped beam at the source |
|
|
305 | (1) |
|
V.3 Bunch Compression and Rotation |
|
|
305 | (4) |
|
A Bunch compression by rf voltage manipulation |
|
|
306 | (1) |
|
B Bunch compression using unstable fixed point |
|
|
307 | (1) |
|
C Bunch rotation using buncher/debuncher cavity |
|
|
308 | (1) |
|
|
|
309 | (1) |
|
V.5 Beam Stacking and Phase Displacement Acceleration |
|
|
309 | (1) |
|
|
|
310 | (7) |
|
A Synchrotron equation of motion in a double rf system |
|
|
311 | (1) |
|
B Action and synchrotron tune |
|
|
312 | (1) |
|
C The r < or equal to 0.5 case |
|
|
312 | (1) |
|
|
|
313 | (1) |
|
E Action-angle coordinates |
|
|
314 | (2) |
|
F Sill amplitude approximation |
|
|
316 | (1) |
|
G Sum'rule theorem and collective instabilities |
|
|
316 | (1) |
|
V.7 The Barrier RF Bucket |
|
|
317 | (6) |
|
A Equation of motion in a barrier bucket |
|
|
318 | (1) |
|
B Synchrotron Hamiltonian for general rf wave form |
|
|
319 | (1) |
|
C Square wave barrier bucket |
|
|
319 | (2) |
|
|
|
321 | (1) |
|
E Action-angle coordinates |
|
|
322 | (1) |
|
V.8 Beam-stacking in Longitudinal Phase space |
|
|
323 | (3) |
|
|
|
326 | (4) |
|
VI Fundamentals of RF Systems |
|
|
330 | (18) |
|
|
|
330 | (2) |
|
VI.2 Low Frequency Coaxial Cavities |
|
|
332 | (7) |
|
A Shunt impedance and Q-factor |
|
|
334 | (2) |
|
|
|
336 | (1) |
|
C Qualitative feature of rf cavities |
|
|
336 | (1) |
|
D The rf cavity of the IUCF cooler injector synchrotron |
|
|
337 | (2) |
|
E Wake-function and impedance of an RLC resonator model |
|
|
339 | (1) |
|
|
|
339 | (3) |
|
|
|
340 | (1) |
|
B Fundamental theorem of beam loading |
|
|
340 | (1) |
|
C Steady state solution of multiple bunch passage |
|
|
341 | (1) |
|
VI.4 Beam Loading Compensation and Robinson Instability |
|
|
342 | (3) |
|
A Robinson dipole mode instability |
|
|
343 | (1) |
|
B Qualitative feature of Robinson instability |
|
|
344 | (1) |
|
|
|
345 | (3) |
|
VII Longitudinal Collective Instabilities |
|
|
348 | (19) |
|
VII.1 Beam Spectra of Synchrotron Motion |
|
|
349 | (5) |
|
A Coherent synchrotron modes |
|
|
349 | (2) |
|
B Coherent synchrotron modes of a kicked beam |
|
|
351 | (1) |
|
C Measurements of coherent synchrotron modes |
|
|
352 | (2) |
|
VII.2 Collective Microwave Instability in Coasting Beams |
|
|
354 | (1) |
|
VII.3 Longitudinal Impedance |
|
|
355 | (3) |
|
|
|
355 | (2) |
|
B Resistive wall impedance |
|
|
357 | (1) |
|
C Narrowband and broadband impedance |
|
|
358 | (1) |
|
VII.4 Single Bunch Microwave Instability |
|
|
358 | (7) |
|
A Negative mass instability without momentum spread |
|
|
358 | (1) |
|
B Landau damping with finite frequency spread |
|
|
359 | (1) |
|
|
|
360 | (2) |
|
D Microwave instability near transition energy |
|
|
362 | (1) |
|
E Microwave instability and bunch lengthening |
|
|
363 | (1) |
|
F Microwave instability induced by narrowband resonances |
|
|
364 | (1) |
|
|
|
365 | (2) |
|
VIII Introduction to Linear Accelerators |
|
|
367 | (30) |
|
VIII.1 Historical Milestones |
|
|
367 | (3) |
|
VIII.2 Fundamental Properties of Accelerating Structures |
|
|
370 | (2) |
|
|
|
370 | (1) |
|
|
|
371 | (1) |
|
|
|
371 | (1) |
|
VIII.3 Particle Acceleration by EM Waves |
|
|
372 | (11) |
|
A EM waves in a cylindrical wave guide |
|
|
373 | (1) |
|
B Phase velocity and group velocity |
|
|
374 | (1) |
|
C TM modes in a cylindrical pillbox cavity |
|
|
375 | (2) |
|
|
|
377 | (1) |
|
E Loaded wave guide chain and the space harmonics |
|
|
378 | (3) |
|
F Standing wave, traveling wave, and coupled cavity linacs |
|
|
381 | (2) |
|
G High Order Modes (HOMs) |
|
|
383 | (1) |
|
VIII.4 Longitudinal Particle Dynamics in a Linac |
|
|
383 | (4) |
|
A The capture condition in an electron linac with vp = c |
|
|
384 | (1) |
|
B Energy spread of the beam |
|
|
385 | (1) |
|
C Synchrotron motion in proton linacs |
|
|
386 | (1) |
|
VIII.5 Transverse Beam Dynamics in a Linac |
|
|
387 | (3) |
|
|
|
390 | (7) |
| 4 Physics of Electron Storage Rings |
|
397 | (78) |
|
I Fields of a Moving Charged Particle |
|
|
401 | (14) |
|
I.1 Non-relativistic Reduction |
|
|
403 | (1) |
|
I.2 Radiation Field for Particles at Relativistic Velocities |
|
|
403 | (2) |
|
|
|
404 | (1) |
|
Example 2: Radiation from circular motion |
|
|
404 | (1) |
|
I.3 Frequency and Angular Distribution |
|
|
405 | (6) |
|
A Frequency spectrum of synchrotron radiation |
|
|
407 | (2) |
|
B Asymptotic property of the radiation |
|
|
409 | (1) |
|
C Angular distribution in the orbital plane |
|
|
409 | (1) |
|
D Angular distribution for the integrated energy spectrum |
|
|
409 | (1) |
|
E Frequency spectrum of radiated energy flux |
|
|
410 | (1) |
|
|
|
411 | (2) |
|
|
|
413 | (2) |
|
II Radiation Damping and Excitation |
|
|
415 | (28) |
|
II.1 Damping of Synchrotron Motion |
|
|
415 | (4) |
|
II.2 Damping of Betatron Motion |
|
|
419 | (3) |
|
A Transverse (vertical) betatron motion |
|
|
419 | (1) |
|
B Horizontal betatron motion |
|
|
420 | (2) |
|
II.3 Damping Rate Adjustment |
|
|
422 | (3) |
|
A Incease U to increase damping rate (damping wiggler) |
|
|
422 | (1) |
|
B Change D to re-partition the partition number |
|
|
422 | (2) |
|
|
|
424 | (1) |
|
II.4 Radiation Excitation and Equilibrium Energy Spread |
|
|
425 | (4) |
|
A Effects of quantum excitation |
|
|
425 | (1) |
|
B Equilibrium rms energy spread |
|
|
426 | (2) |
|
C Adjustment of rms momentum spread |
|
|
428 | (1) |
|
D Beam distribution function in momentum |
|
|
428 | (1) |
|
II.5 Radial Bunch Width and Distribution Function |
|
|
429 | (2) |
|
|
|
431 | (1) |
|
|
|
432 | (5) |
|
|
|
432 | (2) |
|
|
|
434 | (3) |
|
II.8 Summary: Radiation Integrals |
|
|
437 | (1) |
|
|
|
438 | (5) |
|
III Emittance in Electron Storage Rings |
|
|
443 | (32) |
|
III.1 Emittance of Synchrotron Radiation Lattices |
|
|
443 | (13) |
|
|
|
444 | (3) |
|
B Double-bend achromat (Chasman-Green lattice) |
|
|
447 | (3) |
|
C Theoretical Minimum Emittance (TME) lattice |
|
|
450 | (1) |
|
|
|
451 | (1) |
|
E Summary of Lattice Properties and QBA |
|
|
452 | (2) |
|
F Design concepts of recent light source upgrades |
|
|
454 | (2) |
|
|
|
456 | (5) |
|
A Ideal helical undulators or wigglers |
|
|
457 | (3) |
|
B Characteristics of radiation from undulators |
|
|
460 | (1) |
|
III.3 Effect of IDs on beam dynamics |
|
|
461 | (5) |
|
A Effect of IDs on beam emittances |
|
|
462 | (1) |
|
B Effect of IDs on momentum spread |
|
|
463 | (1) |
|
C Effect of ID induced dispersion functions |
|
|
463 | (2) |
|
D Effect of IDs on the betatron tunes |
|
|
465 | (1) |
|
III.4 Beam Physics of High Brightness Storage Rings |
|
|
466 | (3) |
|
|
|
469 | (6) |
| 5 Special Topics in Beam Physics |
|
475 | (26) |
|
I Free Electron Laser (FEL) |
|
|
476 | (12) |
|
|
|
478 | (5) |
|
A Vlasov equation in longitudinal phase-space coordinates |
|
|
479 | (2) |
|
B The free electron laser gain |
|
|
481 | (2) |
|
I.2 Interaction of the Radiation Field with the Beam |
|
|
483 | (3) |
|
A Perturbation solution of the Maxwell-Vlasov equations |
|
|
483 | (1) |
|
|
|
484 | (2) |
|
I.3 High Gain FEL Facilities |
|
|
486 | (1) |
|
|
|
486 | (2) |
|
|
|
488 | (13) |
|
II.1 The Beam-Beam Force in Round Beam Geometry |
|
|
488 | (3) |
|
A The beam-beam potential |
|
|
489 | (1) |
|
B Dynamics betatron amplitude functions |
|
|
489 | (1) |
|
|
|
490 | (1) |
|
II.2 The Coherent Beam-Beam Effects |
|
|
491 | (1) |
|
II.3 Nonlinear Beam-Beam Effects |
|
|
491 | (2) |
|
II.4 Experimental Observations and Numerical Simulations |
|
|
493 | (4) |
|
II.5 Beam-Beam Interaction in Linear Colliders |
|
|
497 | (1) |
|
|
|
498 | (3) |
| A Classical Mechanics and Analysis |
|
501 | (10) |
|
|
|
501 | (3) |
|
I.1 Canonical Transformations |
|
|
501 | (1) |
|
|
|
502 | (1) |
|
|
|
502 | (1) |
|
|
|
502 | (1) |
|
|
|
503 | (1) |
|
II Stochastic Beam Dynamics |
|
|
504 | (4) |
|
II.1 Central Limit Theorem |
|
|
504 | (1) |
|
II.2 Langevin Equation of Motion |
|
|
505 | (2) |
|
|
|
505 | (1) |
|
B Other stochastic integration methods |
|
|
506 | (1) |
|
II.3 Fokker-Planck Equation |
|
|
507 | (1) |
|
III Methods of Data Analysis in Beam Physics |
|
|
508 | (3) |
| B Numerical Methods and Physical Constants |
|
511 | (14) |
|
|
|
511 | (3) |
|
I.1 Nyquist Sampling Theorem |
|
|
511 | (1) |
|
I.2 Discrete Fourier Transform |
|
|
512 | (1) |
|
|
|
513 | (1) |
|
I.4 Some Simple Fourier Transforms |
|
|
514 | (1) |
|
II Cauchy Theorem and the Dispersion Relation |
|
|
514 | (1) |
|
II.1 Cauchy Integral Formula |
|
|
514 | (1) |
|
|
|
515 | (1) |
|
III Useful Handy Formulas |
|
|
515 | (3) |
|
III.1 Generating Functions for Bessel Functions |
|
|
515 | (1) |
|
III.2 The Hankel Transform |
|
|
516 | (1) |
|
III.3 The Complex Error Function [ 30] |
|
|
516 | (1) |
|
III.4 A Multipole Expansion Formula |
|
|
516 | (1) |
|
III.5 Cylindrical Coordinates |
|
|
516 | (1) |
|
III.6 Gauss' and Stokes' Theorems |
|
|
517 | (1) |
|
|
|
517 | (1) |
|
III.8 2D Magnetic Field in Multipole Expansion |
|
|
518 | (1) |
|
|
|
518 | (3) |
|
IV.1 Lorentz Transformation of EM Fields |
|
|
519 | (1) |
|
IV.2 Cylindrical Waveguides |
|
|
519 | (2) |
|
|
|
519 | (1) |
|
|
|
520 | (1) |
|
IV.3 Voltage Standing Wave Ratio |
|
|
521 | (1) |
|
V Physical Properties and Constants |
|
|
521 | (4) |
| Bibliography |
|
525 | (2) |
| Index |
|
527 | |
Biežāk uzdotie jautājumi par e-grāmatām