One of the proposals for delivering a cooled muon beam to a muon collider o
r a high intensity neutrino source uses an induction Linac to phase rotate
the muons that result from the decay of pions produced by a high intensity
proton beam on a target, An induction linac with an acceleration gradient o
f 2MV per meter is proposed to produce bunches of muons that have a momentu
m of 200 MeV/c. The induction accelerator is assembled around the 3T superc
onducting solenoids needed to contain the muon beam. The superconducting so
lenoid must have a warm 100-mm gap at 1000-mm intervals down the phase rota
tion channel. The acceleration structure for the induction linac is around
this gap. The superconducting solenoid will have an Inside warm radius of 2
01 mm, The thickness of the superconducting magnet and its cryostat must be
about 60 mm near the acceleration gap. An access region of 85 mm between i
nduction linac sections is allowed for the superconducting coil cold mass s
upports, the electrical leads and the supply of cryogenic cooling. This rep
ort presents a design for a 3 T phase rotation induction linac superconduct
ing magnet system, its cryostat, and its cooling system.