Schnizer P. Advanced Multipoles for Accelerator Magnets: Theoretical Analysis and Their Measurement

Springer International Publishing AG, 2017. — 172 p. — (Springer Tracts in Modern Physics 277) — ISBN: 3319656651.This monograph presents research on the transversal beam dynamics of accelerators and evaluates and describes the respective magnetic field homogeneity.
Studying the transversal beam dynamic of accelerators requires a sound description of the magnetic field homogeneity. Cylindrical circular multipoles, typically used, have shortcomings if the beam aperture is elliptical or the curvature of the particle path has to be taken into account.Electromagnetic Fields and Particle Motion
Coordinate Systems
Field Descriptions
Rotating Coils
Experimental Setup
Applications
Measuring Advanced Multipoles
Error Propagation
Conclusions
Appendixes
Changes to Previous Publications
Mathematica Scripts
Approximate Inversion of a Perturbed Matrix