Field Simulation for Accelerator Magnets

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.

• Volume 1Preface xvNotation xix1 Algebraic Structures and Vector Fields 12 Classical Vector Analysis 413 Maxwell’s Equations and Boundary-Value Problems in Magnetostatics 1034 Fields and Potentials of Line Currents 1535 Harmonic Fields 2056 Complex Analysis Methods for Magnet Design 2717 Faraday’s Law of Induction 3058 Field Diffusion 3199 Synchrotron Radiation 33910 Theory of the Coil Magnetometer 35711 Stretched-Wire Field Measurements 415Appendix A Differential Forms 469Appendix B The Vibration of the Taut String 485Appendix C Uncertainty in Measurement and Approximation 497Appendix D Orthogonal Array Testing 511Appendix E SI Units 523Volume 2Preface xvNotation xix12 Magnets for Accelerators 52513 Elementary Beam Optics and Field Requirements 57314 Reference Frames and Magnet Polarities 60315 Iron-Dominated Magnets 61916 Coil-Dominated Magnets 65317 Finite-Element Formulations 70118 Discretization 72119 Coupling of Boundary and Finite Elements 74320 Superconductor Magnetization 78121 Interstrand Coupling Currents 82722 Quench Simulation 85523 Differential Geometry Applied to Coil-Head Design 89524 Mathematical Optimization Techniques 92325 Model-Based Systems Engineering 983Appendix F Material-Property Data for Field Simulation 1015Appendix G The LHC Magnet Catalog 1035Appendix H Ramping the LHC Dipoles 1061Reference 1063Glossary 1065Index 1075