Lattice Design in High-energy Particle Accelerators

TL;DR

This paper introduces the principles and methods for designing high-energy storage ring lattices, covering formalism, stability, and special insertions, with practical rules for initial estimations.

Contribution

It provides a comprehensive overview of lattice design principles, including formalism, stability conditions, and practical estimation rules for high-energy particle accelerators.

Findings

Explains the formalism of transverse beam optics for lattice design.

Discusses stability and scaling of beam parameters in storage rings.

Provides practical rules of thumb for initial lattice design estimates.

Abstract

This lecture gives an introduction into the design of high-energy storage ring lattices. Applying the formalism that has been established in transverse beam optics, the basic principles of the development of a magnet lattice are explained and the characteristics of the resulting magnet structure are discussed. The periodic assembly of a storage ring cell with its boundary conditions concerning stability and scaling of the beam optics parameters is addressed as well as special lattice insertions such asdrifts, mini beta sections, dispersion suppressors, etc. In addition to the exact calculations that are indispensable for a rigorous treatment of the matter, scaling rules are shown and simple rules of thumb are included that enable the lattice designer to do the first estimates and get the basic numbers 'on the back of an envelope'.