© 2017

Advanced Multipoles for Accelerator Magnets

Theoretical Analysis and Their Measurement


Part of the Springer Tracts in Modern Physics book series (STMP, volume 277)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Pierre Schnizer
    Pages 1-10
  3. Pierre Schnizer
    Pages 11-20
  4. Pierre Schnizer
    Pages 21-33
  5. Pierre Schnizer
    Pages 35-73
  6. Pierre Schnizer
    Pages 75-84
  7. Pierre Schnizer
    Pages 85-100
  8. Pierre Schnizer
    Pages 101-106
  9. Pierre Schnizer
    Pages 107-132
  10. Pierre Schnizer
    Pages 133-147
  11. Pierre Schnizer
    Pages 149-152
  12. Back Matter
    Pages 153-166

About this book


This monograph presents research on the transversal beam dynamics of accelerators and evaluates and describes the respective magnetic field homogeneity. 

The widely used cylindrical circular multipoles have disadvantages for elliptical apertures or curved trajectories, and the book also introduces new types of advanced multipole magnets, detailing their application, as well as the numerical data and measurements obtained. The research presented here provides more precise descriptions of the field and better estimates of the beam dynamics. Moreover, the effects of field inhomogeneity can be estimated with higher precision than before. These findings are further elaborated to demonstrate their usefulness for real magnets and accelerator set ups, showing their advantages over cylindrical circular multipoles. The research findings are complemented with data obtained from the new superconducting beam guiding magnet models (SIS100) for the FAIR (Facility for Antiproton and Ion Research) project. 

Lastly, the book offers a comprehensive survey of error propagation in multipole measurements and an appendix with Mathematica scripts to calculate advanced magnetic coil designs.


Magnetic Field Accelerator Magnets in Accelerator Physics Elliptical Symmetry Accelerator Toroidal Symmetry Accelerator Integral Method Accelerator Accelerator Beam Physics Cylindrical Circular Multipole Cylindrical Elliptical Multipole Toroidal Circular Multipole Coil Probe Geometry Coil Probe Torus Superconducting Beam Guiding Magnets Beam Physics FAIR Beam Physics CERN

Authors and affiliations

  1. 1.Helmholtz-Zentrum Berlin für Materialien und EnergieBerlinGermany

About the authors

Dr. Pierre Schnizer has studied accelerator physics at the University of Graz and at the Large Hadron Collider at CERN. He has been research associate at the GSI Helmholtz Centre for Heavy Ion Research in Darmstadt, analyzing and evaluating accelerator magnets for FAIR (Facility for Antiproton and Ion Research). He has been deputy director in the CERN-GSI collaboration for testing superconducting magnets. Today, he is technical project director at the Helmholtz Center for Energy and Materials in Berlin, responsible for BESSY VSR (variable pulse-length storage ring).

Bibliographic information