Exact computation of derivatives with differential algebra and applications to beam dynamics. Part 1, A survey of differential algebra and its use for the extraction of maps to arbitrary order; Part 2, Normal form methods for complicated periodic systems:

摘要

The new method of differential algebras for the description of beam dynamics is presented. It allows a very straightforward and elegant computation of transfer maps of accelerator systems which can be analyzed for data relevant to accelerators. The order of the procedure is unlimited and it is accurate to machine precision. The theoretical background of the method is presented in detail. It is shown how the method can be used in practice. 17 refs.