ABSTRACT

This chapter describes the design and technological aspects of the magnets used to realize accelerators. After a brief recapitulation of Maxwell’s equation, both analytical and numerical methods, using Matlab’s PDE toolbox, to calculate the fields in normal-conducting, iron-dominated magnets are presented. The PDE toolbox is used to calculate the size of shims to extend the good-field region of dipoles. Also super-conducting, current-dominated magnets are analyzed, both by analytical methods and the PDE toolbox. Multipole and undulator magnets, based on permanent magnet material, are treated analytically and design equations are derived. Discussions of magnet measurements, using Hall probes and rotating coils, round this chapter off.