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554 Pages
Revised
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This is a good book which goes well beyond the standard introductory text on the filed ... Should satisfy the graduate student specializing in the field and the accelerator scientist willing to cover in major detail the fundamental aspects of the physics of particle accelerators. -- IL Nuovo Saggiatore "IL Nuovo Saggiatore"
| Preface | p. vii |
| Preface to Second Edition | p. ix |
| Preface to First Edition | p. xi |
| Acknowledgments | p. xiii |
| Introduction | p. 1 |
| Historical Developments | p. 4 |
| Natural Accelerators | p. 5 |
| Electrostatic Accelerators | p. 5 |
| Induction Accelerators | p. 6 |
| Radio-Frequency (RF) Accelerators | p. 8 |
| Colliders and Storage Rings | p. 16 |
| Synchrotron Radiation Storage Rings | p. 18 |
| Layout and Components of Accelerators | p. 18 |
| Acceleration Cavities | p. 19 |
| Accelerator Magnets | p. 20 |
| Other Important Components | p. 22 |
| Accelerator Applications | p. 22 |
| High Energy and Nuclear Physics | p. 22 |
| Solid-State and Condensed-Matter Physics | p. 23 |
| Other Applications | p. 23 |
| Exercise 1: Basics | p. 24 |
| Transverse Motion | p. 33 |
| Hamiltonian for Particle Motion in Accelerators | p. 34 |
| Hamiltonian in Frenet-Serret Coordinate System | p. 35 |
| Magnetic Field in Frenet-Serret Coordinate System | p. 37 |
| Equation of Betatron Motion | p. 38 |
| Particle Motion in Dipole and Quadrupole Magnets | p. 39 |
| Exercise 2.1 | p. 40 |
| Linear Betatron Motion | p. 44 |
| Transfer Matrix and Stability of Betatron Motion | p. 44 |
| Courant-Snyder Parametrization | p. 47 |
| Floquet Transformation | p. 48 |
| Action-Angle Variable and Floquet Transformation | p. 53 |
| Courant-Snyder Invariant and Emittance | p. 55 |
| Stability of Betatron Motion: A FODO Cell Example | p. 60 |
| Symplectic Condition | p. 61 |
| Effect of Space-Charge Force on Betatron Motion | p. 62 |
| Exercise 2.2 | p. 69 |
| Effect of Linear Magnet Imperfections | p. 80 |
| Closed-Orbit in the Presence of Dipole Field Error | p. 80 |
| Extended Matrix Method for the Closed Orbit | p. 86 |
| Application of Dipole Field Error | p. 86 |
| Quadrupole Field (Gradient) Errors | p. 95 |
| Basic Beam Observation of Transverse Motion | p. 99 |
| Application of Quadrupole Field Error | p. 102 |
| Beam Spectra | p. 104 |
| Beam Injection and Extraction | p. 108 |
| Mechanisms of Emittance Dilution and Diffusion | p. 110 |
| Exercise 2.3 | p. 115 |
| Off-Momentum Orbit | p. 122 |
| Dispersion Function | p. 122 |
| H-Function, Action, and Integral Representation | p. 126 |
| Momentum Compaction Factor | p. 129 |
| Dispersion Suppression and Dispersion Matching | p. 132 |
| Achromat Transport Systems | p. 134 |
| Transport Notation | p. 136 |
| Experimental Measurements of Dispersion Function | p. 137 |
| Transition Energy Manipulation | p. 138 |
| Minimum (H) Modules | p. 149 |
| Exercise 2.4 | p. 152 |
| Chromatic Aberration | p. 160 |
| Chromaticity Measurement and Correction | p. 161 |
| Nonlinear Effects of Chromatic Sextupoles | p. 165 |
| Chromatic Aberration and Correction | p. 165 |
| Lattice Design Strategy | p. 170 |
| Exercise 2.5 | p. 171 |
| Linear Coupling | p. 173 |
| The Linear Coupling Hamiltonian | p. 173 |
| Effects of an Isolated Linear Coupling Resonance | p. 175 |
| Experimental Measurement of Linear Coupling | p. 179 |
| Linear Coupling Correction with Skew Quadrupoles | p. 182 |
| Linear Coupling Using Transfer Matrix Formalism | p. 183 |
| Exercise 2.6 | p. 184 |
| Nonlinear Resonances | p. 188 |
| Nonlinear Resonances Driven by Sextupoles | p. 188 |
| Higher-Order Resonances | p. 195 |
| Nonlinear Detuning from Sextupoles and Octupoles | p. 197 |
| Betatron Tunes and Nonlinear Resonances | p. 198 |
| Emittance Growth and Dynamic Aperture | p. 199 |
| Exercise 2.7 | p. 203 |
| Collective Instability and Landau Damping | p. 209 |
| Impedance | p. 209 |
| Transverse Wave Modes | p. 212 |
| Effect of Wakefield on Transverse Wave | p. 213 |
| Frequency Spread and Landau Damping | p. 217 |
| Exercise 2.8 | p. 220 |
| Synchro-Betatron Hamiltonian | p. 223 |
| Exercise 2.9 | p. 227 |
| Synchrotron Motion | p. 229 |
| Longitudinal Equation of Motion | p. 230 |
| The Synchrotron Hamiltonian | p. 233 |
| The Synchrotron Mapping Equation | p. 234 |
| Evolution of Synchrotron Phase-Space Ellipses | p. 235 |
| Some Practical Examples | p. 236 |
| Summary of Synchrotron Equations of Motion | p. 237 |
| Exercise 3.1 | p. 238 |
| Adiabatic Synchrotron Motion | p. 240 |
| Fixed Points | p. 240 |
| Bucket Area | p. 241 |
| Small-Amplitude Oscillations and Bunch Area | p. 243 |
| Small-Amplitude Synchrotron Motion at the UFP | p. 246 |
| Synchrotron Motion for Large-Amplitude Particles | p. 246 |
| Experimental Tracking of Synchrotron Motion | p. 248 |
| Exercise 3.2 | p. 250 |
| RF Phase and Voltage Modulations | p. 255 |
| Normalized Phase-Space Coordinates | p. 255 |
| RF Phase Modulation and Parametric Resonances | p. 258 |
| Measurements of Synchrotron Phase Modulation | p. 262 |
| Effects of Dipole Field Modulation | p. 266 |
| RF Voltage Modulation | p. 274 |
| Measurement of RF Voltage Modulation | p. 279 |
| Exercise 3.3 | p. 281 |
| Nonadiabatic and Nonlinear Synchrotron Motion | p. 284 |
| Linear Synchrotron Motion Near Transition Energy | p. 285 |
| Nonlinear Synchrotron Motion at ≈T | p. 288 |
| Beam Manipulation Near Transition Energy | p. 291 |
| Synchrotron Motion with Nonlinear Phase Slip Factor | p. 292 |
| The QI Dynamical Systems | p. 294 |
| Exercise 3.4 | p. 298 |
| Beam Manipulation in Synchrotron Phase Space | p. 299 |
| RF Frequency Requirements | p. 300 |
| Capture and Acceleration of Proton and Ion Beams | p. 302 |
| Bunch Compression and Rotation | p. 304 |
| Debunching | p. 308 |
| Beam Stacking and Phase Displacement Acceleration | p. 308 |
| Double rf Systems | p. 309 |
| The Barrier RF Bucket | p. 316 |
| Exercise 3.5 | p. 322 |
| Fundamentals of RF Systems | p. 324 |
| Pillbox Cavity | p. 324 |
| Low Frequency Coaxial Cavities | p. 326 |
| Beam Loading | p. 334 |
| Beam Loading Compensation and Robinson Instability | p. 336 |
| Exercise 3.6 | p. 339 |
| Longitudinal Collective Instabilities | p. 342 |
| Beam Spectra of Synchrotron Motion | p. 343 |
| Collective Microwave Instability in Coasting Beams | p. 348 |
| Longitudinal Impedance | p. 349 |
| Single Bunch Microwave Instability | p. 352 |
| Exercise 3.7 | p. 359 |
| Introduction to Linear Accelerators | p. 361 |
| Historical Milestones | p. 361 |
| Fundamental Properties of Accelerating Structures | p. 364 |
| Particle Acceleration by EM Waves | p. 366 |
| Longitudinal Particle Dynamics in a Linac | p. 378 |
| Transverse Beam Dynamics in a Linac | p. 381 |
| Exercise 3.8 | p. 385 |
| Physics of Electron Storage Rings | p. 391 |
| Fields of a Moving Charged Particle | p. 396 |
| Non-relativistic Reduction | p. 398 |
| Radiation Field for Particles at Relativistic Velocities | p. 398 |
| Frequency and Angular Distribution | p. 400 |
| Quantum Fluctuation | p. 406 |
| Exercise 4.1 | p. 408 |
| Radiation Damping and Excitation | p. 410 |
| Damping of Synchrotron Motion | p. 410 |
| Damping of Betatron Motion | p. 414 |
| Damping Rate Adjustment | p. 417 |
| Radiation Excitation and Equilibrium Energy Spread | p. 420 |
| Radial Bunch Width and Distribution Function | p. 424 |
| Vertical Beam Width | p. 426 |
| Beam Lifetime | p. 427 |
| Summary: Radiation Integrals | p. 432 |
| Exercise 4.2 | p. 433 |
| Emittance in Electron Storage Rings | p. 438 |
| Emittance of Synchrotron Radiation Lattices | p. 438 |
| Insertion Devices | p. 450 |
| Effect of IDs on Beam Dynamics | p. 456 |
| Beam Physics of High Brightness Storage Rings | p. 461 |
| Exercise 4.3 | p. 464 |
| Special Topics in Beam Physics | p. 469 |
| Free Electron Laser (FEL) | p. 470 |
| Small Signal Regime | p. 472 |
| Interaction of the Radiation Field with the Beam | p. 477 |
| High Gain FEL Facilities | p. 480 |
| Exercise 5.1 | p. 480 |
| Beam-Beam Interaction | p. 482 |
| The Beam-Beam Force in Round Beam Geometry | p. 482 |
| The Coherent Beam-Beam Effects | p. 485 |
| Nonlinear Beam-Beam Effects | p. 486 |
| Experimental Observations and Numerical Simulations | p. 487 |
| Beam-Beam Interaction in Linear Colliders | p. 491 |
| Exercise 5.2 | p. 492 |
| Classical Mechanics and Analysis | p. 495 |
| Hamiltonian Dynamics | p. 495 |
| Canonical Transformations | p. 495 |
| Fixed Points | p. 496 |
| Poisson Bracket | p. 496 |
| Liouville Theorem | p. 496 |
| Floquet Theorem | p. 497 |
| Stochastic Beam Dynamics | p. 498 |
| Central Limit Theorem | p. 498 |
| Langevin Equation of Motion | p. 499 |
| Fokker-Planck Equation | p. 501 |
| Model Independent Analysis | p. 502 |
| Model Independent Analysis | p. 502 |
| Independent Component Analysis | p. 503 |
| Appendix B Numerical Methods and Physical Constants | p. 505 |
| Fourier Transform | p. 505 |
| Nyquist Sampling Theorem | p. 505 |
| Discrete Fourier Transform | p. 506 |
| Digital Filtering | p. 507 |
| Some Simple Fourier Transforms | p. 508 |
| Cauchy Theorem and the Dispersion Relation | p. 508 |
| Cauchy Integral Formula | p. 508 |
| Dispersion Relation | p. 509 |
| Useful Handy Formulas | p. 509 |
| Generating Functions for the Bessel Functions | p. 509 |
| The Hankel Transform | p. 510 |
| The Complex Error Function [30] | p. 510 |
| A Multipole Expansion Formula | p. 510 |
| Cylindrical Coordinates | p. 510 |
| Gauss' and Stokes' Theorems | p. 511 |
| Vector Operation | p. 511 |
| Maxwell's Equations | p. 512 |
| Lorentz Transformation of EM Fields | p. 512 |
| Cylindrical Waveguides | p. 512 |
| Voltage Standing Wave Ratio | p. 514 |
| Physical Properties and Constants | p. 515 |
| Bibliography | p. 519 |
| Index | p. 521 |
| Symbols and Notations | p. 529 |
| List of Tables | p. 533 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9789814374941
ISBN-10: 9814374946
Published: 17th November 2011
Format: Paperback
Language: English
Number of Pages: 554
Audience: College, Tertiary and University
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: GB
Edition Number: 3
Edition Type: Revised
Dimensions (cm): 22.86 x 15.24 x 2.85
Weight (kg): 0.79
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