Dipole and Quadrupole Magnets Design with 2D and 3D Electromagnetic Analysis Codes

Abstract

The design of magnets for particle accelerators must satisfy rather stringent requirements on uniformity of magnetic flux density in dipoles and of gradient of flux density in quadrupoles. Further requirements are also relevant to the integral of the previous quantities along the longitudinal direction. While in the central part of the magnets satisfactory informations on magnetic field can be drawn from two dimensional magnetic analysis codes, the evaluation of fields in the end part of the device becomes more difficult due to the fringing effects, and would require a three dimensional analysis. In this paper different design strategies using approximate two dimensional analysis of the end part of the devices are presented, a comparison with a three dimensional analysis is performed and results are reviewed and discussed.