Study of two-dimensional magnetic fields of a superconducting dipole by the image current method

The two-dimensional magnetic field of a superconducting dipole with rectangular aperture has been studied theoretically using the image current method. The calculation formulae realized by the FORTRAN program on a CDC-6500 computer are presented. Inhomogeneities of the field were investigated arising inside the magnet aperture. The method of formation of a high homogeneous field was found by means of compensation of the third and fifth harmonics. The ratio of the third and fifth harmonic amplitude values to the first harmonic amplitude Csub(n) on the internal radius r=2.5 cm are as follows: 1) at the injection C3=-0.015 %, C5=-0.01 %; 2) at the end of acceleration C3=+0.23 % and C5=-0.02 %