Ideal matching of heavy ion beams

A novel technique is developed, and demonstrated via simulations, which all ows ideal matching of an ultrahigh-brightness heavy ion beam in a linear fo cusing channel with general magnetic focusing field profile. Unlike the con ventional rms matching used in accelerator design, this technique is based on a new class of corkscrewing elliptic beam equilibria in a linear focusin g channel consisting of uniform solenoidal fields, periodic solenoidal fiel ds, and/or alternating-gradient quadrupole magnetic focusing fields in an a rbitrary arrangement including field tapering. As an illustration of the ef fectiveness of this technique, a perfect matching of an ultrahigh-brightnes s heavy ion beam from an axisymmetric particle source into alternating-grad ient quadrupole focusing channel is achieved without beam hollowing and bea m halo formation. Discussions are made of how to implement such a perfect b eam matching to avoid beam hollowing observed in the LBNL 2-MV Heavy Ion In jector Experiment. (C) 2001 Published by Elsevier Science B.V.