Field Simulation for Accelerator Magnets: Volume 1: Theory of Fields and Magnetic Measurements / Volume 2: Methods for Design and Optimization

by Stephan Russenschuck

Overview

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

Product Details

ISBN-13:	9783527414178
Publisher:	Wiley
Publication date:	07/08/2025
Pages:	1136
Product dimensions:	6.69(w) x 9.61(h) x 0.59(d)

About the Author

Stephan Russenschuck is a Principal Applied Physicist in the Accelerator Technology Department of the European Organization for Nuclear Research (CERN), Geneva, Switzerland, and the head of CERN’s test and magnetic measurement section.

He is a leading authority on the electromagnetic design of accelerator magnets, the author of the CERN field-computation program ROXIE, and a University Lecturer (Habilitation) for the Theory of Electromagnetic Fields at the Technical University of Vienna, Austria.

Dr. Russenschuck has served as chairman of the Technical and Doctoral Student Committee at CERN and for 25 years as a member of the Board of the International COMPUMAG Society. Since 1998, he has been a member of the organizing committees of the ICAP conferences on computational accelerator physics and the NUMELEC conferences on numerical field computation.

Table of 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