title: Hamiltonian analysis of transverse beam dynamics in high-brightness photoinjectors.
abstract: A general Hamiltonian suitable for perturbative analysis of rapidly accelerating beams is derived from first principles. With the proper choice of coordinates, the resulting Hamiltonian has a simple and familiar form, yet is able to take into account the rapid acceleration, rf focusing, magnetic focusing, and average space-charge forces in rf photoinjectors. From the linear Hamiltonian, the beam-envelope evolution is solved and analyzed, which better illuminates the invariant-envelope solution as well as the theory of emittance compensation. The third-order nonlinear Hamiltonian is derived and analyzed to some extent. To make the analysis systematic and self-contained, alternative derivations are given for the smoothed ponderomotive rf focusing and the transfer matrix of a rf cavity.
authors.affiliation: Argonne National Laboratory, Argonne, Illinois 60439, USA. wangcx@aps.anl.gov
authors.forename: Chun-xi
authors.initials: CX
authors.lastname: Wang