Steering algorithms for a heavy-ion recirculating accelerator

For inertial-fusion applications, the beam in proposed recirculating heavy-ion accelerators must complete fifty to one hundred laps around lattices that are between two and four killmeters in circumference. Frequent monitoring and correction of the beam-centroid position is essential to avoid unrealistic tolerances on dipole strengths and quadrupole alignment, the beam centroid. Analytic and numerical estimates are made of the beam-centroid displacement due algorithms for both time-dependent and time-independent beam steering are presented. An envelope-code simulation is used to demonstrate their effectiveness.