Nonlinear optimization of the modern synchrotron radiation storage ring based on frequency map analysis

Abstract

TIAN Shun-Qiang( ) 1,2;1) LIU Gui-Min( ) 1;2) LI Hao-Hu( )HOU Jie( ) 1,2 CHEN Guang-Ling( ) 1,2 WAN Cheng-Lan( ) 1,2

Optimization of harmonic sextupoles in Indus-2 electron storage ring

“…change in betatron frequency with turns of tracking) for different initial conditions of particle in phase space, which provides an idea of the possible resonances, responsible for reducing the dynamic aperture. This has been applied to analyze nonlinear motion in various synchrotron radiation sources and also in the selection of the better working point [25][26][27].…”

Tune optimization of the third generation light source storage ring based on Frequency Map Analysis

“…In Section 3, three working points, ( ) 22 [18], and has been successfully commissioned in the SSRF. In this section, the nonlinear optimizations and nonlinearities of the lattice with Tunes and will be introduced.…”

“…It has been discussed in Ref. [18]. The second one is carried out by the frequency maps of a series of matched tunes in a large zone.…”

“…Some studies about tune optimization in the SSRF storage ring based on FMA have been reported in Refs. [8,18]. In this paper, we take FMA as a tune scanning method to select a large quiet tune zone, which is relatively free of serious nonlinear resonance.…”

Design and first commissioning of a new mode with lower emittance in the SSRF storage ring

“…Because the structure of the SSRF storage ring was optimized for the nominal mode, in addition to the stronger nonlinearities, nonlinear optimization of the new mode is very difficult. We have made extensive attempts by means of several methods, such as a step-by-step chromaticity compensation [4] , resonance approach [5] and Frequency Map Analysis [6] , to finally get an acceptable nonlinear solution. The sextupole strengths of the solution are listed in Table 2, where the chromaticities are compensated to zero for both the transverse planes.…”