ABSTRACT

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.

chapter 1|12 pages

Introduction

part I|91 pages

A Pictorial View in One Degree of Freedom

chapter 2|49 pages

From the Map to the Hamiltonian

chapter 3|39 pages

From The Hamiltonian To The Map

part II|181 pages

Global Description: Purpose

chapter 4|29 pages

Classification of One-Turn Maps

chapter 5|27 pages

From Linear to Nonlinear Maps

chapter 7|25 pages

The Ring

chapter 9|23 pages

Examples of the Analytical Normalization

part III|156 pages

Local Description: Means

chapter 10|37 pages

The Layout in the Laboratory Frame

chapter 11|23 pages

Symplectic Integration

chapter 13|19 pages

Fringe Effects in Ring Dynamics

chapter 14|13 pages

Large Ring Approximations and the Rest!

chapter 15|22 pages

Inclusion of Radiation

chapter 16|8 pages

Conclusion