Superconducting magnets for particle accelerators

All new large hadron storage rings or colliders are equipped with superconducting magnets, which allow significantly higher particle energies to be achieved at much reduced operational costs. The basis properties and design criteria of superconducting accelerator magnets are reviewed with special emphasis on the following topics: field calculation and multipole expansion; layout of coils; influence of iron yoke; mechanical tolerances; magnetic forces and stresses in the coils; persistent currents in the superconductor filaments and resulting field distortions; stability of the magnets; quench origins, quench protection; performance of practical magnets; prospects for future applications.