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Beam Dynamics In High Energy Particle Accelerators [Kõva köide]

(The Univ Of Liverpool, Uk)
  • Formaat: Hardback, 608 pages
  • Ilmumisaeg: 24-Apr-2014
  • Kirjastus: Imperial College Press
  • ISBN-10: 178326277X
  • ISBN-13: 9781783262779
Teised raamatud teemal:
  • Formaat: Hardback, 608 pages
  • Ilmumisaeg: 24-Apr-2014
  • Kirjastus: Imperial College Press
  • ISBN-10: 178326277X
  • ISBN-13: 9781783262779
Teised raamatud teemal:
Wolski assembles in one volume the principles and methods that he has found most important, interesting, and useful in his work as an accelerator physicist, dealing with situations that range from the relatively simple to the rather complex. He develops the theory of beam dynamics in such a way that it can be applied, where necessary, to some of the more complex situations encountered in high energy particle accelerators. He assumes readers to be familiar with electromagnetism and classic mechanics, but reviews them to emphasize aspects that are of particular relevance to the behavior of charged particles in accelerators. Distributed in the US by World Scientific. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)

Particle accelerators are essential tools for scientific research in fields as diverse as high energy physics, materials science and structural biology. They are also widely used in industry and medicine. Producing the optimum design and achieving the best performance for an accelerator depends on a detailed understanding of many (often complex and sometimes subtle) effects that determine the properties and behavior of the particle beam.Beam Dynamics in High Energy Particle Accelerators provides an accessible introduction to the concepts underlying accelerator beam line design and analysis, taking an approach that emphasizes the elegance of the subject and leads into the development of a range of powerful techniques for understanding and modeling charged particle beams.Basic ideas are introduced from the start using an approach that leads logically into the development of more advanced concepts and techniques. In particular, linear dynamics is treated consistently using a Hamiltonian formalism, which provides a suitable foundation for not only perturbation theory, but also for more modern techniques based on Lie operators.
Preface xi
I Electromagnetism and Classical Mechanics
1(80)
1 Electromagnetic Fields in Accelerator Components
3(56)
1.1 Boundary Conditions on Electromagnetic Fields
7(5)
1.1.1 Surface of an infinite permeability material
8(3)
1.1.2 Surface of an ideal conductor
11(1)
1.2 Two-Dimensional Multipole Fields
12(21)
1.2.1 Current distribution for a pure multipole
18(4)
1.2.2 Geometry of iron-dominated multipole magnets
22(4)
1.2.3 Multipole decomposition
26(7)
1.3 Three-Dimensional Fields
33(10)
1.3.1 Cartesian and cylindrical modes
34(5)
1.3.2 Generalised gradients
39(4)
1.4 Fields in Radiofrequency Cavities
43(16)
1.4.1 Rectangular cavities
46(7)
1.4.2 Cylindrical cavities
53(6)
2 Hamiltonian for a Particle in an Accelerator Beam Line
59(22)
2.1 The Hamiltonian for a Straight Beam Line
61(7)
2.2 Dynamical Variables for Beam Dynamics
68(4)
2.3 The Hamiltonian in a Curved Co-ordinate System
72(4)
2.4 Symplectic Transfer Maps and Liouville's Theorem
76(5)
II Single-Particle Linear Dynamics
81(182)
3 Linear Transfer Maps for Common Components
83(44)
3.1 Drift Space
85(3)
3.2 Dipole Magnet
88(8)
3.3 Dipole Fringe Fields and Edge Focusing
96(5)
3.4 Quadrupole Magnet
101(5)
3.5 Solenoid
106(3)
3.6 Radiofrequency Cavity
109(7)
3.7 Spin Dynamics
116(11)
4 Linear Optics in Uncoupled Beam Lines
127(30)
4.1 A FODO Lattice
128(4)
4.2 The Courant--Snyder Parameters
132(4)
4.3 Action--Angle Variables
136(7)
4.4 Courant--Snyder Parameters in a FODO Beam Line
143(4)
4.5 Hill's Equation
147(3)
4.6 Courant--Snyder Parameters and Particle Distribution
150(7)
5 Coupled Optics
157(38)
5.1 Transverse--Longitudinal Coupling
158(18)
5.1.1 Dispersion
158(4)
5.1.2 Momentum compaction and phase slip
162(6)
5.1.3 Synchrotron motion
168(8)
5.2 Fully Coupled Motion
176(12)
5.3 Dispersion Revisited
188(2)
5.4 Examples of Coupled Optics
190(5)
5.4.1 Uniform solenoid field
190(1)
5.4.2 Flat-beam electron source
191(4)
6 Linear Imperfections in Storage Rings
195(20)
6.1 The Closed Orbit
196(2)
6.2 Dipole Field Errors
198(5)
6.3 Quadrupole Alignment Errors
203(1)
6.4 Focusing Errors
204(3)
6.5 Beam-Based Alignment of Quadrupoles
207(3)
6.6 Coupling Errors
210(5)
7 Effects of Synchrotron Radiation
215(48)
7.1 Classical Radiation: Radiation Damping
217(13)
7.2 Quantum Radiation: Quantum Excitation
230(7)
7.3 Equilibrium Emittance and Lattice Design
237(13)
7.3.1 Natural emittance in a FODO storage ring
239(4)
7.3.2 Double-bend achromat
243(3)
7.3.3 TME lattices and multibend achromats
246(4)
7.4 Computation of Equilibrium Emittances
250(8)
7.5 Synchrotron Radiation and Spin Polarisation
258(5)
III Single-Particle Nonlinear Dynamics
263(130)
8 Examples of Nonlinear Effects in Accelerator Beam Lines
265(22)
8.1 Longitudinal Dynamics in a Bunch Compressor
265(9)
8.2 Chromaticity in a Linear FODO Beam Line
274(5)
8.3 Chromaticity in Storage Rings
279(8)
9 Representations of Transfer Maps
287(22)
9.1 Lie Transformations
289(7)
9.2 Power Series Map for a Sextupole
296(5)
9.3 Mixed-Variable Generating Functions
301(8)
10 Symplectic Integrators
309(22)
10.1 Splitting Methods
310(9)
10.2 Explicit Symplectic Integrator for s-dependent Fields
319(6)
10.3 Symplectic Runge--Kutta Integrators
325(6)
11 Methods for Analysis of Single-Particle Dynamics
331(62)
11.1 A Lie Transformation Example: the -- I Transformer
332(3)
11.2 Canonical Perturbation Theory
335(25)
11.2.1 Dipole perturbations: closed orbit distortion
343(3)
11.2.2 Quadrupole perturbations: focusing errors
346(2)
11.2.3 Skew quadrupole perturbations: coupling
348(9)
11.2.4 Sextupole perturbations
357(3)
11.3 Resonances and Dynamic Aperture
360(13)
11.4 Normal Form Analysis
373(11)
11.5 A Numerical Method: Frequency Map Analysis
384(9)
IV Collective Effects
393(180)
12 Space Charge
395(50)
12.1 The Kapchinsky--Vladimirsky Distribution
397(5)
12.2 The Envelope Equations for the KV Distribution
402(5)
12.3 Elliptically Symmetric Non-KV Distributions
407(9)
12.4 Space-Charge Tune Shifts
416(9)
12.5 Matching a Continuous Beam to a Solenoid Field
425(4)
12.6 Longitudinal Dynamics with Space Charge
429(11)
12.7 Beam-Beam Effects
440(5)
13 Scattering Effects
445(24)
13.1 Touschek Effect
446(10)
13.2 Intrabeam Scattering
456(13)
13.2.1 Piwinski formulae
459(4)
13.2.2 Bjorken--Mtingwa formulae
463(2)
13.2.3 High energy approximation
465(4)
14 Wake Fields, Wake Functions and Impedance
469(42)
14.1 Wake Fields in a Resonant Cavity
471(8)
14.2 Resistive-Wall Wake Fields
479(12)
14.3 Wake Functions
491(8)
14.4 Impedance
499(12)
15 Coherent Instabilities
511(62)
15.1 Coupled-Bunch Instabilities
512(13)
15.1.1 Transverse modes
512(8)
15.1.2 Longitudinal modes
520(5)
15.2 Potential-Well Distortion
525(4)
15.3 Coasting Beams: Microwave Instability
529(11)
15.4 Single-Bunch Instabilities
540(33)
15.4.1 Head-tail instability
541(11)
15.4.2 Sacherer's integral equation
552(8)
15.4.3 Discrete modes: Robinson instability
560(6)
15.4.4 Mode coupling
566(7)
Bibliography 573(12)
Index 585