The Physics of Particle Accelerators : An Introduction

Name: The Physics of Particle Accelerators : An Introduction
Author: Klaus Wille, Jason McFall
ISBN: 9780198505495

by Klaus Wille, Jason McFall

Not Applicable

The Physics of Particle Accelerators : An Introduction

by Klaus Wille, Jason McFall

Not Applicable

Condition

Overview

The complex technology of particle accelerators is based upon a series of simple physical concepts. This introduction to the subject focuses on providing a physical understanding of these key ideas. The study surveys the many aspects of accelerator physics and not only explains how accelerators work, but also why the underlying physics leads to a particular choice of design or technique, and points out the limitations of the technology. The mathematical treatment always emphasizes the physical principles described by the equations, and includes a range of calculations which develop a feeling for the quantities and concepts involved.

FormatNot Applicable

LanguageEnglish

PublisherOxford University Press, Incorporated

Publication DateMay. 3rd, 2001

ISBN-139780198505495

Dimensions6.14 x 9.21 x 0.71 inches

ISBN-100198505493

Shipping Weight1.10 lbs

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Professional Reviews

"Starting from a historical overview of particle accelerator development and an emphasis on the importance of high energy particles in fundamental research, Wille (physics, U. of Dortmund) surveys many aspects of accelerator physics also relevant to other disciplines and develops relevant formulas step-by-step. Suitable for a senior undergraduate text. The translator is in the physics department at the U. of Bristol."-- SciTech Book News

List of symbols	p. xi
Introduction	p. 1
The importance of high energy particles in fundamental research	p. 1
Forces used in particle acceleration	p. 3
Overview of the development of accelerators	p. 4
The direct-voltage accelerator	p. 5
The Cockroft-Walton cascade generator	p. 6
The Marx generator	p. 7
The Van de Graaff accelerator	p. 8
The linear accelerator	p. 9
The cyclotron	p. 13
The microtron	p. 16
The betatron	p. 17
The synchrotron	p. 19
Particle production by colliding beams	p. 22
The physics of particle collisions	p. 22
The storage ring	p. 25
The linear collider	p. 27
Synchrotron radiation	p. 30
Radiation from relativistic particles	p. 30
Linear acceleration	p. 31
Circular acceleration	p. 32
Angular distribution of synchrotron radiation	p. 35
Time dependence and frequency spectrum of the radiation	p. 37
Storage rings for synchrotron radiation	p. 40
Linear beam optics	p. 44
Charged particle motion in a magnetic field	p. 44
Equation of motion in a co-moving coordinate system	p. 46
Beam steering magnets	p. 50
Calculation of magnetic fields for beam steering	p. 51
Conventional ferromagnets	p. 53
Superconducting magnets	p. 58
Particle trajectories and transfer matrices	p. 65
Calculation of a particle trajectory through a system of many beam-steering magnets	p. 72
Dispersion and momentum compaction factor	p. 74
Beta function and betatron oscillation	p. 77
The phase space ellipse and Liouville's theorem	p. 80
Beam cross-section and emittance	p. 81
Evolution of the beta function through the magnet structure	p. 83
Method 1	p. 83
Method 2	p. 85
Determination of the transfer matrix from the beta function	p. 88
Matching of beam optics	p. 89
The one-dimensional case	p. 90
The n-dimensional case	p. 91
Periodicity conditions in circular accelerators	p. 93
The periodic solution	p. 93
The symmetric solution	p. 95
Worked example: beam optics of a circular accelerator with a FODO structure	p. 97
Tune and optical resonances	p. 101
Periodic solution of Hill's differential equation	p. 101
Floquet's transformation	p. 103
Optical resonances	p. 104
The effect of magnetic field errors on beam optics	p. 112
Effect of dipole kicks	p. 112
Effect of quadrupole field errors	p. 115
Chromaticity of beam optics and its compensation	p. 120
Restriction of the dynamic aperture by sextupoles	p. 123
Local orbit bumps	p. 127
Examples of local orbit bumps	p. 132
Injection and extraction	p. 136
The process of injection and extraction	p. 136
Particle sources	p. 137
The fundamental problem of injection	p. 141
Injection of high proton and ion currents by 'stacking'	p. 142
Injection of proton beams using stripping foils	p. 144
Injection into an electron storage ring	p. 145
Kicker and septum magnets	p. 147
RF systems for particle acceleration	p. 152
Waveguides and their properties	p. 152
Rectangular waveguides	p. 154
Cylindrical waveguides	p. 156
Resonant cavities	p. 158
Rectangular waveguides as resonant cavities	p. 158
Cylindrical resonant cavities	p. 159
Accelerating structures for linacs	p. 163
Klystrons as power generators for accelerators	p. 169
The klystron modulator	p. 171
Phase focusing and synchrotron frequency	p. 176
Region of phase stability (separatrix)	p. 180
Radiative effects	p. 185
Damping of synchrotron oscillations	p. 185
Damping of betatron oscillations	p. 188
The Robinson theorem	p. 191
The beam emittance	p. 192
The lower limit of the beam emittance: the low emittance lattice	p. 197
Luminosity	p. 202
Beam current restriction due to the space charge effect	p. 204
The 'mini-beta' principle	p. 213
Wigglers and undulators	p. 217
The wiggler or undulator field	p. 217
Equation of motion in a wiggler or undulator	p. 222
Undulator radiation	p. 227
The free electron laser (FEL)	p. 232
Conditions for energy transfer in the FEL	p. 233
Equation of motion for electrons in the FEL (pendulum equation)	p. 236
Amplification of the FEL (low gain approximation)	p. 241
The Madey theorem	p. 247
FEL amplification in the high-gain regime	p. 248
The FEL amplifier and FEL oscillator	p. 250
The optical klystron	p. 252
Time structure of the FEL radiation	p. 254
Diagnostics	p. 258
Observation of the beam and measurement of the beam current	p. 258
The fluorescent screen	p. 258
The Faraday cup	p. 259
The wall current monitor	p. 261
The beam transformer	p. 262
The current transformer	p. 264
The measurement cavity	p. 266
Determination of the beam lifetime in a storage ring	p. 269
Measurement of the momentum and energy of a particle beam	p. 271
The magnetic spectrometer	p. 271
Energy measurement by spin depolarization	p. 273
Measurement and correction of the beam position	p. 274
Transverse beam position measurement	p. 275
Correction of the transverse field position	p. 281
Measurement of the betatron frequency and the tune Q	p. 287
Measurement of the synchrotron frequency	p. 291
Measurement of the optical parameters of the beam	p. 294
Measurement of the dispersion	p. 294
Measurement of the beta function	p. 295
Measurement of the chromaticity	p. 296
Maxwell's equations	p. 297
Important relations in special relativity	p. 299
General equation of an ellipse in phase space	p. 302
Bibliography	p. 304
Index	p. 310
Table of Contents provided by Syndetics. All Rights Reserved.

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Overview

Product Details

FormatNot Applicable

LanguageEnglish

PublisherOxford University Press, Incorporated

Publication DateMay. 3rd, 2001

ISBN-139780198505495

Dimensions6.14 x 9.21 x 0.71 inches

ISBN-100198505493

Shipping Weight1.10 lbs

Professional Reviews

List of symbols	p. xi
Introduction	p. 1
The importance of high energy particles in fundamental research	p. 1
Forces used in particle acceleration	p. 3
Overview of the development of accelerators	p. 4
The direct-voltage accelerator	p. 5
The Cockroft-Walton cascade generator	p. 6
The Marx generator	p. 7
The Van de Graaff accelerator	p. 8
The linear accelerator	p. 9
The cyclotron	p. 13
The microtron	p. 16
The betatron	p. 17
The synchrotron	p. 19
Particle production by colliding beams	p. 22
The physics of particle collisions	p. 22
The storage ring	p. 25
The linear collider	p. 27
Synchrotron radiation	p. 30
Radiation from relativistic particles	p. 30
Linear acceleration	p. 31
Circular acceleration	p. 32
Angular distribution of synchrotron radiation	p. 35
Time dependence and frequency spectrum of the radiation	p. 37
Storage rings for synchrotron radiation	p. 40
Linear beam optics	p. 44
Charged particle motion in a magnetic field	p. 44
Equation of motion in a co-moving coordinate system	p. 46
Beam steering magnets	p. 50
Calculation of magnetic fields for beam steering	p. 51
Conventional ferromagnets	p. 53
Superconducting magnets	p. 58
Particle trajectories and transfer matrices	p. 65
Calculation of a particle trajectory through a system of many beam-steering magnets	p. 72
Dispersion and momentum compaction factor	p. 74
Beta function and betatron oscillation	p. 77
The phase space ellipse and Liouville's theorem	p. 80
Beam cross-section and emittance	p. 81
Evolution of the beta function through the magnet structure	p. 83
Method 1	p. 83
Method 2	p. 85
Determination of the transfer matrix from the beta function	p. 88
Matching of beam optics	p. 89
The one-dimensional case	p. 90
The n-dimensional case	p. 91
Periodicity conditions in circular accelerators	p. 93
The periodic solution	p. 93
The symmetric solution	p. 95
Worked example: beam optics of a circular accelerator with a FODO structure	p. 97
Tune and optical resonances	p. 101
Periodic solution of Hill's differential equation	p. 101
Floquet's transformation	p. 103
Optical resonances	p. 104
The effect of magnetic field errors on beam optics	p. 112
Effect of dipole kicks	p. 112
Effect of quadrupole field errors	p. 115
Chromaticity of beam optics and its compensation	p. 120
Restriction of the dynamic aperture by sextupoles	p. 123
Local orbit bumps	p. 127
Examples of local orbit bumps	p. 132
Injection and extraction	p. 136
The process of injection and extraction	p. 136
Particle sources	p. 137
The fundamental problem of injection	p. 141
Injection of high proton and ion currents by 'stacking'	p. 142
Injection of proton beams using stripping foils	p. 144
Injection into an electron storage ring	p. 145
Kicker and septum magnets	p. 147
RF systems for particle acceleration	p. 152
Waveguides and their properties	p. 152
Rectangular waveguides	p. 154
Cylindrical waveguides	p. 156
Resonant cavities	p. 158
Rectangular waveguides as resonant cavities	p. 158
Cylindrical resonant cavities	p. 159
Accelerating structures for linacs	p. 163
Klystrons as power generators for accelerators	p. 169
The klystron modulator	p. 171
Phase focusing and synchrotron frequency	p. 176
Region of phase stability (separatrix)	p. 180
Radiative effects	p. 185
Damping of synchrotron oscillations	p. 185
Damping of betatron oscillations	p. 188
The Robinson theorem	p. 191
The beam emittance	p. 192
The lower limit of the beam emittance: the low emittance lattice	p. 197
Luminosity	p. 202
Beam current restriction due to the space charge effect	p. 204
The 'mini-beta' principle	p. 213
Wigglers and undulators	p. 217
The wiggler or undulator field	p. 217
Equation of motion in a wiggler or undulator	p. 222
Undulator radiation	p. 227
The free electron laser (FEL)	p. 232
Conditions for energy transfer in the FEL	p. 233
Equation of motion for electrons in the FEL (pendulum equation)	p. 236
Amplification of the FEL (low gain approximation)	p. 241
The Madey theorem	p. 247
FEL amplification in the high-gain regime	p. 248
The FEL amplifier and FEL oscillator	p. 250
The optical klystron	p. 252
Time structure of the FEL radiation	p. 254
Diagnostics	p. 258
Observation of the beam and measurement of the beam current	p. 258
The fluorescent screen	p. 258
The Faraday cup	p. 259
The wall current monitor	p. 261
The beam transformer	p. 262
The current transformer	p. 264
The measurement cavity	p. 266
Determination of the beam lifetime in a storage ring	p. 269
Measurement of the momentum and energy of a particle beam	p. 271
The magnetic spectrometer	p. 271
Energy measurement by spin depolarization	p. 273
Measurement and correction of the beam position	p. 274
Transverse beam position measurement	p. 275
Correction of the transverse field position	p. 281
Measurement of the betatron frequency and the tune Q	p. 287
Measurement of the synchrotron frequency	p. 291
Measurement of the optical parameters of the beam	p. 294
Measurement of the dispersion	p. 294
Measurement of the beta function	p. 295
Measurement of the chromaticity	p. 296
Maxwell's equations	p. 297
Important relations in special relativity	p. 299
General equation of an ellipse in phase space	p. 302
Bibliography	p. 304
Index	p. 310
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The Physics of Particle Accelerators : An Introduction

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The Physics of Particle Accelerators : An Introduction

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