Stability of non-linear integrable accelerator

TL;DR

This paper investigates the stability and dynamic aperture of the non-linear Integrable Optics Test Accelerator (IOTA), analyzing how non-linear lens strength and chromaticity compensation affect beam stability and size.

Contribution

It introduces a comprehensive analysis of stability regions, tune spread, and particle loss in the IOTA model, including effects of sextupoles for chromaticity correction.

Findings

Stable region size varies with non-linear lens strength

Maximum tune spread depends on system parameters

Particle loss correlates with turn number and system stability

Abstract

The stability of non-linear Integrable Optics Test Accelerator (IOTA) model was tested. The area of the stable region in transverse coordinates and the maximum attainable tune spread were found as a function of non-linear lens strength. Particle loss as a function of turn number was analyzed to determine whether a dynamic aperture limitation present in the system. The system was also tested with sextupoles included in the machine for chromaticity compensation. A method of evaluation of the beam size in the linear part of the accelerator was proposed.