Equilibrium parameters in coupled storage ring lattices and practical applications

TL;DR

This paper presents a method to calculate equilibrium emittances and damping times in coupled storage ring lattices, including orbit distortions, with explicit formulas implemented in a design code.

Contribution

It introduces explicit formulas for equilibrium parameters in coupled lattices, incorporating orbit distortions, and implements them into the OPA lattice design software.

Findings

Explicit formulas enable fast calculations of equilibrium parameters.

Inclusion of orbit distortions improves accuracy of radiation integral evaluations.

Implementation in OPA facilitates practical lattice design and analysis.

Abstract

We calculate equilibrium emittances and damping times due to the emission of synchrotron radiation for coupled storage ring lattices by evaluating the projections of the commonly used synchrotron radiation integrals onto the normal modes of the coupled motion. Orbit distortion is included by calculating off-axis contributions to the radiation integrals. We provide explicit formulae for fast forward calculation, which have been implemented into the interactive lattice design code OPA.