This report describes the results of a study of arrays of up to sixteen qua
drupoles in a single cryostat surrounded by an induction accelerator that i
s used for accelerating high current heavy ion beams for fusion, Each quadr
upole in the array can have a gradient of 72 T/m, when the quadrupole has a
warm bore diameter of 90 mm, An array of sixteen quadrupoles can be made t
o fit into a round cryostat vacuum vessel with a diameter of 850 mm, If the
number of quadrupoles in the array is reduced to nine, the outer diameter
of the cryostat is 700 mm. It is proposed that the quadrupole array be cond
uction cooled using either a 4 K cryocooler or two phase liquid helium in p
ipes around the magnet array. The two-phase helium can be supplied to a str
ing of multi-bore quadrupoles using a large refrigerator.