A METHOD FOR DERIVING THE HAMILTONIANS OF INSERTION DEVICES

Effects of wigglers and superconducting wigglers on the electrons in t he storage ring are discussed based on the Hamiltonian formalism. In t he local coordinates, it is useful to expand the wiggler field in the increasing order of the horizontal coordinate x, in which each coeffic ient of x(n) is itself an infinite polynomial of the vertical coordina te y. Combined with dimensional analysis, this expansion provides a si mple and systematic approximation for normal wigglers of sinusoidal ma gnetic field. In the case of a non-analytic wiggler field as in superc onducting wigglers, this method is still applicable with a little more care. In both cases, approximate Hamiltonians are derived.