REC Quadrupoles and Dipoles with Circular and Elliptical Cross Sections

We have shown that a 2-D elliptical REC ring can be designed to produce a pure quadrupole or a pure dipole field, and that the limiting quadrupole field at the bore can be increased by a factor 32/27 over the circular ring for a major/minor axis ratio of 2. We have also obtained the multipole field spectrum for trapezoidal segments and developed a computer program which adjusts the easy axis orientation and segment angle openings to cause several of the unwanted multipole. coefficients to vanish. Numerical results are presented which show that a large number of segments is needed to approach the results for the elliptical case.