• J.A. Crittenden, A.A. Mikhailichenko, A. Temnykh
  Cornell University, Department of Physics, Ithaca, New York
• E.N. Smith, K.W. Smolenski
  Cornell University, Ithaca, New York

Superconducting wiggler magnets for operation of the CESR electron-storage ring at energies as low as 1.5 \gev have been designed, built and installed in the years 2000 to 2004. Finite-element models of field quality have been developed, various sources of field errors investigated and compared to field measurements. Minimization algorithms providing accurate analytic representations of the wiggler fields have been established. We present quantitative descriptions of field modelling, of measured field quality and of the accuracy achieved in the analytic functions of the field.