SPECTRAL-ANALYSIS OF CORRECTION TECHNIQUES FOR LINEAR COLLIDERS

Spectral analysis has been used to study emittance growth due to chrom atic effects in future linear colliders. This formalism allows us to s tudy the effects of static initial misalignments, as well as the effec ts of magnet displacements produced by ground motion, the latter descr ibed adequately by the two-dimensional power spectrum P(omega,k). The effectiveness of correction techniques, envisaged in long linacs to re cover the small required emittance, has been also evaluated by this sp ectral approach. For illustration, analytical predictions for the ''on e-to-one'' algorithm and the ''adaptive alignment'' method are given a nd compared to numerical simulations.