  A muon collider as well as a neutrino factory requires a large number of
muons with a kinetic energy of 50GeV or more. Muon survival demands a high
gradient linac. The large transverse and longitudinal emittance of the muon
beam coming from a muon cooling system implies the need for a large acceptance,
acceleration system. These two requirements point clearly to a linac based on
superconducting technology. The design of a 2GeV Superconducting muon Linac
based on computer programs developed at LANL will be presented. The design is
based on the technology available today or components that will be avaible in
the very near future.
