Beam Dynamics  book cover
1st Edition

Beam Dynamics

ISBN 9789057025747
Published July 7, 1998 by CRC Press
463 Pages

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Book Description

This volume lays down the foundations of a theory of rings based on finite maps. The purpose of the ring is entirely discussed in terms of the global properties of the one-turn map. Proposing a theory of rings based on such maps, this work offers another perspective on storage ring theory.

Table of Contents

A pictorial view in one degree of freedom; from the Hamiltonian to the map; classification of one-turn maps; from linear to nonlinear maps; vector fields and canonical transformations; the ring; floquet rings; a theoretical construct; power series and analytic/symbolic calculations; examples of the analytical normalization; the layout in the laboratory frame; symplectic integration; "small" rings - using the correct Hamiltonian; fringe effects in ring dynamics; large ring approximations and the rest; inclusion of radiation.

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