Analytic Nonlinear Methods for Beam Optics
In recent years there have been major advances in the computation and use of high-order maps for the design, optimization and operation of beamlines. We will describe five practical examples for both linear and circular colliders. From least to most complex these examples will be: use of similarity transformations (FFTB design, SLC diagnosis); statistical maps (SSC smear and tune-shift); aberrations (SLC upgrade); resonance basis and nPB tracking (PEP-II design); and kick factorization (possibly LHC).
43 PARTICLE ACCELERATORS↗