  To achieve high focal spot intensities in heavy ion fusion, the ion beam must
be compressed longitudinally by factors of ten to one hundred before it is
focused onto the target. The longitudinal compression is achieved by imposing
an initial velocity profile tilt on the drifting beam. In this paper, the
problem of longitudinal drift compression of intense charged particle beams is
solved analytically for the two important cases corresponding to a cold beam,
and a pressure-dominated beam, using a one-dimensional warm-fluid model
describing the longitudinal beam dynamics.
