Magnetic design of the Fermilab 11 T Nb/sub 3/Sn short dipole model

High field accelerator magnets for a future Very Large Hadron Collider are being developed at Fermilab in collaboration with LBNL and KEK. The goal of this work is to elaborate a cost-effective Nb/sub 3/Sn dipole magnet design and technology which provide the nominal field of 11 T. This paper presents a description of the magnetic design of the first short model including cable and strand parameters, coil and yoke cross-section and magnet end geometry. The results of field distribution and field quality calculations including geometrical and random harmonics, coil magnetization and iron saturation effects are also reported.