Low emittance lattice cell with large dynamic aperture

TL;DR

This paper presents a design for a low emittance lattice cell with large dynamic aperture, suitable for 3 GeV storage rings with 10 pm emittance, by implementing a -I condition for chromatic sextupoles.

Contribution

It develops a low emittance lattice cell that maintains large dynamic aperture using a -I condition for sextupoles, adaptable for various emittance and length configurations.

Findings

Achieved large dynamic aperture despite finite sextupole length.

Designed a lattice cell suitable for 3 GeV, 10 pm emittance storage rings.

Demonstrated the cell's applicability as a modular component.

Abstract

Compact low emittance lattice cell providing large dynamic aperture is essentual for development of extremely low (pm range) emittance storage rings. As it is well known, a pair of identical sextupoles connected by a minus-identy matrix transformer in ideal case of kick-like magnets provides infinite dynamic aperture. Though the finite sextupole length degrades the aperture, it is still large enough, and in this report we discuss development of the low emittance lattice cell providing the -I condition for both horizontal and vertical chromatic sextupoles. Such cell can be used as a module for lattices of different emittance and length. As an example we develop a 3 GeV 10 pm emittance storage ring and study its transverse dynamic aperture.