Full Description
A comprehensive reference to the theory and practice of accelerator-magnet design and measurement
Particle accelerators have many fundamental and applied research applications in physics, materials science, chemistry, and life science. To accelerate electrons or hadrons to the required energy, magnets of highly uniform fields are needed, whose design and optimization are some of the most critical aspects of accelerator construction.
Field Simulation for Accelerator Magnets is a comprehensive two-volume reference work on the electromagnetic design of iron- and coil-dominated accelerator magnets and methods of magnetic-field measurements. It provides project engineers and beam physicists with the necessary mathematical foundations for their work.
Students of electrical engineering and physics will likewise find much value in these volumes, as the challenges to be met for field quality, electrical integrity, and robustness of accelerator magnets require an in-depth knowledge of electromagnetism. Accelerator-magnet design provides an excellent opportunity to learn mathematical methods and numerical techniques that have wide-ranging applications in industry and science.
Readers of the two volumes of this work will find:
Authorship by the leading expert on magnetic fields of accelerator magnets
Detailed discussion of topics such as vector algebra and analysis, network theory, analytical and numerical field computation, magnetic measurements, elementary beam optics, and many more
Application of mathematical optimization techniques, multiphysics simulation, and model-based systems engineering
Contents
Volume 1
Preface xv
Notation xix
1 Algebraic Structures and Vector Fields 1
2 Classical Vector Analysis 41
3 Maxwell's Equations and Boundary-Value Problems in Magnetostatics 103
4 Fields and Potentials of Line Currents 153
5 Harmonic Fields 205
6 Complex Analysis Methods for Magnet Design 271
7 Faraday's Law of Induction 305
8 Field Diffusion 319
9 Synchrotron Radiation 339
10 Theory of the Coil Magnetometer 357
11 Stretched-Wire Field Measurements 415
Appendix A Differential Forms 469
Appendix B The Vibration of the Taut String 485
Appendix C Uncertainty in Measurement and Approximation 497
Appendix D Orthogonal Array Testing 511
Appendix E SI Units 523
Volume 2
Preface xv
Notation xix
12 Magnets for Accelerators 525
13 Elementary Beam Optics and Field Requirements 573
14 Reference Frames and Magnet Polarities 603
15 Iron-Dominated Magnets 619
16 Coil-Dominated Magnets 653
17 Finite-Element Formulations 701
18 Discretization 721
19 Coupling of Boundary and Finite Elements 743
20 Superconductor Magnetization 781
21 Interstrand Coupling Currents 827
22 Quench Simulation 855
23 Differential Geometry Applied to Coil-Head Design 895
24 Mathematical Optimization Techniques 923
25 Model-Based Systems Engineering 983
Appendix F Material-Property Data for Field Simulation 1015
Appendix G The LHC Magnet Catalog 1035
Appendix H Ramping the LHC Dipoles 1061
Reference 1063
Glossary 1065
Index 1075
