An introduction to the physics of particle accelerators:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2008
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XV, 374 S. Ill., graph. Darst. |
| ISBN: | 9789812779601 9812779604 9789812779618 9812779612 |
Internformat
MARC
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| 100 | 1 | |a Conte, Mario |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to the physics of particle accelerators |c Mario Conte ; William W. MacKay |
| 246 | 1 | 3 | |a Physics of particle accelerators |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2008 | |
| 300 | |a XV, 374 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Particle accelerators | |
| 650 | 0 | 7 | |a Teilchenbeschleuniger |0 (DE-588)4059318-6 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a MacKay, William W. |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017145507 | ||
Datensatz im Suchindex
| _version_ | 1804138657604435968 |
|---|---|
| adam_text | Contents
Preface
to the
2nd
Edition
................................................xiii
Preface to the
1st
Edition
.................................................xiv
1
Introduction
..............................................................1
1.3
Motivation and overview
..............................................1
1.4
Direct-voltage accelerators
...........................................3
1.5
A review of relativistic particle motion
................................6
1.6
Linear accelerators with oscillating electric fields
......................9
1.7
Circular machines
...................................................12
1.8
Momentum compaction and the synchronous particle
................14
Problems
............................................................16
2
Equations of Motion for Weak Focusing
..................................20
2.1
Reference system for a circular machine
..............................20
2.2
Equations of motion
.................................................20
2.3
Solutions of the motion equations and transfer matrices
..............23
2.4
Momentum dispersion
...............................................27
2.5
Weak focusing synchrotron
..........................................29
2.6
Momentum compaction factor
.......................................32
Problems
............................................................33
3
Mechanics of Trajectories
................................................35
3.1
Liouville s theorem
..................................................35
3.2
General transformations
.............................................39
3.3
Canonical momentum and vector potential
...........................40
3.4
Hamiltonian formalism and canonical coordinates
....................42
3.5
Symplectic transformations and matrices
............................45
3.6
The standard canonical coordinates
..................................49
3.7
Symplectic generators
...............................................52
3.8
Symplectic integrators
...............................................57
3.8.1
Lie groups and algebras
.........................................61
3.8.2
Cayley transforms and symplectification
.........................64
3.8.3
Integration by Cayley transform
.................................67
3.8.4
Runge-Kutta-Munthe-Kas integration
...........................69
Problems
............................................................70
viii Contents
4
Optical Elements with Static Magnetic Fields
............................76
4.1
Transverse fields and multipoles
.....................................77
4.2
Equipotential surfaces and pole face contours
........................79
4.3
Quadrupole lenses
...................................................82
4.4
End field effects in
a dipole
..........................................83
4.5
Ideal solenoid with thin fringes
......................................87
Problems
............................................................91
5
Strong Focusing
.........................................................96
5.1
Transfer matrix approach and stability of the linear system
..........97
5.2
Analytical approach
................................................100
5.3
Emittances
.........................................................104
5.4
Adiabatic invariants
................................................107
5.5
Dispersion
.........................................................108
5.6
Momentum compaction
............................................110
Problems
...........................................................
Ill
6
Lattice Exercises
........................................................115
6.1
The FODO lattice
..................................................115
6.2
Stability diagrams
..................................................116
6.3
FODO cell dispersion
..............................................117
6.4
A few explicit forms of the Twiss matrix
............................119
6.5
Insertions
..........................................................121
6.6
Dispersion suppressors
.............................................122
6.7
Low beta insertion
.................................................125
6.8
Coupled motion
....................................................127
6.9
Finding the eigenvalues of a
4
χ
4
transfer matrix
...................130
6.10
Chromaticity
.......................................................134
Problems
...........................................................137
7
Synchrotron Oscillations
................................................140
7.1
Transition energy
..................................................140
7.2
The phase stability principle
........................................141
7.3
Resonant acceleration
..............................................142
7.4
The phase oscillation equation
......................................144
7.5
Large oscillations
...................................................146
7.6
Hamiltonian formalism
.............................................149
7.7
Adiabatic invariant
.................................................155
Contents ix
7.8
Bunch manipulations
...............................................156
Problems
...........................................................161
8
Synchrotron Radiation
..................................................164
8.1
Radiated power
....................................................164
8.2
Radiation damping of energy oscillations
...........................167
8.3
Damping of the vertical oscillations
.................................169
8.4
Damping of the horizontal oscillations
..............................171
8.5
Damping partition numbers
........................................174
8.6
Frequency spectrum of the radiation
................................175
8.7
Energy spread and bunch length
....................................178
8.8
Transverse excitations
..............................................181
8.9
Beam lifetime considerations
.......................................183
Problems
...........................................................185
9
RF Linear Accelerators
.................................................188
9.1
Maxwell s equations and waves
.....................................188
9.2
Cylindrical waveguides
.............................................191
9.3
Electron capture
...................................................196
9.4
Cylindrical cavities
.................................................198
9.5
Longitudinal equations of motion in a linac
.........................204
9.6
Transverse defocusing
..............................................206
9.7
Radio frequency quadrupoles
.......................................208
Problems
...........................................................211
10
Resonances
.............................................................213
10.1
Integer resonances
..................................................213
10.2
Linear coupling resonances
.........................................215
10.2.1
Stability of difference resonance and instability of
sum resonance
.................................................215
10.3
Assessment of resonances
...........................................217
10.4
Krylov-Bogoliubov method
.........................................221
10.5
Half-integer resonance
..............................................223
10.6
The nonlinear third-integer resonance
...............................225
10.7
Recapitulation
.....................................................228
Problems
...........................................................229
11
Space-Charge Effects
...................................................231
11.1
Transverse effects: tune shift
.......................................231
í
Contents
11.2
Luminosity and collider rings
.......................................234
11.3
Transverse effects: beam-beam interaction
..........................235
11.4
Longitudinal effects
................................................238
12
How to Baffle Liouville
.................................................243
12.1
Beam temperatures
................................................243
12.2
Electron cooling
....................................................246
12.3
Stochastic cooling
..................................................252
12.4
Center of mass of a system of oscillators
............................256
12.5
Noise
..............................................................258
12.6
Mixing
.............................................................260
Problems
...........................................................263
13
Spin Dynamics
.........................................................265
13.1
Introduction
.......................................................265
13.1.1
Simple nonrelativistic model of a spinning body
................265
13.2
Magnetic moments of particles in the rest system
...................268
13.3
Basic Thomas precession
...........................................271
13.4
The Thomas-Prenkel-BMT equation
................................275
13.5
Covariant form of spin precession
...................................279
13.5.1
Relativistic boost of a slowly spinning disk
.....................279
13.5.2
Covariant formulation of the Thomas-Frenkel-BMT equation
... 282
13.6
Review of nonrelativistic quantum mechanics with emphasis on spin
284
13.6.1
Constructing Pauli-like matrices for higher spins
...............289
13.7
Rotation matrices for spinors
.......................................295
13.8
Spin precession on the closed orbit
..................................297
13.9
Spin motion in the standard coordinate system
.....................301
13.9.1
Sector bend magnets
...........................................303
13.9.2
Quadrupole magnets
...........................................304
13.10
Vertical betatron oscillations and intrinsic resonances
...............305
13.11
Proissart-Stora formula for a single resonance
.......................308
13.12
Invariant spin field
.................................................311
13.13
Polarization of electron beams
......................................313
Problems
...........................................................315
14
Position Measurements and Spectra
.....................................319
14.1
Transverse position measurement
...................................319
14.2
Coherent and Schottky frequency spectra of beams
.................323
Contents xi
14.2.1
A single Gaussian bunch
.......................................323
14.2.2
Circulating bunches
............................................324
14.2.3
Momentum spread
.............................................326
14.2.4
Longitudinal Schottky spectrum of an unbunched beam
........327
14.2.5
Synchrotron oscillations of a single particle
.....................328
14.2.6
Transverse Schottky spectrum of an unbunched beam
..........330
Problems
...........................................................333
A Confusion of Definitions in Other Sources
...............................335
A.I Coordinates
........................................................335
A.
2
Emittance
..........................................................335
A.3 Tunes:
Q
от и ......................................................
336
Α.
4
Betatron functions
.................................................336
Α.
5
Dispersion function
.................................................336
A.
6
Chromaticity
.......................................................337
A.
7
Momentum compaction
............................................337
A.
8
Multipole numbering
...............................................337
A.9 Phase slip
..........................................................337
A.
10
Longitudinal canonical momentum
W
..............................338
В
Properties of a Generic Optical System
..................................339
С
Generating Functions
...................................................341
D
Luminosity
.............................................................344
D.I Basic definition of luminosity
.......................................344
D.2 Gaussian beam distributions
........................................346
D.3 Estimation of luminosities in RHIC
.................................351
E
Leapfrog Integration of Equations of Motion
............................356
P
Some Useful Mathematical Formulae
....................................358
Index
.....................................................................361
An Introduction to the
Physics of Particle Accelerators
Second Edition
This book provides a concise and coherent introduction to the physics
of particle accelerators, with attention being paid to the design of
an accelerator for use as an experimental tool. In the second edition,
new chapters on spin dynamics of polarized beams as well as
instrumentation and measurements are included, with a discussion
of frequency spectra and Schottky signals. The additional material
also covers quadratic Lie groups and integration highlighting new
techniques using Cayley transforms, detailed estimation of collider
luminosities, and new problems.
|
| any_adam_object | 1 |
| author | Conte, Mario MacKay, William W. |
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| discipline | Physik |
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| id | DE-604.BV035341212 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:40Z |
| institution | BVB |
| isbn | 9789812779601 9812779604 9789812779618 9812779612 |
| language | English |
| lccn | 2008276757 |
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| owner_facet | DE-703 DE-20 DE-11 DE-19 DE-BY-UBM DE-355 DE-BY-UBR |
| physical | XV, 374 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Conte, Mario Verfasser aut An introduction to the physics of particle accelerators Mario Conte ; William W. MacKay Physics of particle accelerators 2. ed. New Jersey [u.a.] World Scientific 2008 XV, 374 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Particle accelerators Teilchenbeschleuniger (DE-588)4059318-6 gnd rswk-swf Teilchenbeschleuniger (DE-588)4059318-6 s DE-604 MacKay, William W. Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017145507&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017145507&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Conte, Mario MacKay, William W. An introduction to the physics of particle accelerators Particle accelerators Teilchenbeschleuniger (DE-588)4059318-6 gnd |
| subject_GND | (DE-588)4059318-6 |
| title | An introduction to the physics of particle accelerators |
| title_alt | Physics of particle accelerators |
| title_auth | An introduction to the physics of particle accelerators |
| title_exact_search | An introduction to the physics of particle accelerators |
| title_full | An introduction to the physics of particle accelerators Mario Conte ; William W. MacKay |
| title_fullStr | An introduction to the physics of particle accelerators Mario Conte ; William W. MacKay |
| title_full_unstemmed | An introduction to the physics of particle accelerators Mario Conte ; William W. MacKay |
| title_short | An introduction to the physics of particle accelerators |
| title_sort | an introduction to the physics of particle accelerators |
| topic | Particle accelerators Teilchenbeschleuniger (DE-588)4059318-6 gnd |
| topic_facet | Particle accelerators Teilchenbeschleuniger |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017145507&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017145507&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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