Nonlinear accelerator problems via wavelets. II. Orbital dynamics in general multipolar field

Abstract

For refs. to previous papers see Fedorova et al., AIP Conf. Proc., vol.468, p.69 (1999). In this series of eight papers we present the applications of methods from wavelet analysis to polynomial approximations for a number of accelerator physics problems. In this part we consider orbital motion in the transverse plane for a single particle in a circular magnetic lattice in the case when we take into account multipolar expansion up to an arbitrary finite number. We reduce initial dynamical problem to a finite number (equal to the number of n-poles) of standard algebraical problems and represent all dynamical variables via an expansion in the base of periodic wavelets.