Calculation of magnetic field for 4 T fast cycling superconducting dipole magnet

The problem of optimization of the two-dimensional magnetic field distribution of a dipole magnet with a field of 4 T and aperture diameter of 100–110 mm for a fast cycling synchrotron is considered. A singlelayer winding with a small number of turns is made from a hollow NbTi superconducting cable with an operating current up to 30 kA. The mathematical method providing optimization of the higher harmonics amplitude of the magnetic field by varying the position of current windings is described. The results of calculation of two-dimensional magnetic fields of the superconducting magnet are given.