Paper  Title  Page 

WEPA80  Progress on Convergence Map Based on Square Matrix for Nonlinear Lattice Optimization  823 


Funding: DOE. We report progress on applying the square matrix method to obtain in high speed a "convergence map", which is similar but different from a frequency map. We give an example of applying the method to optimize a nonlinear lattice for the NSLSII upgrade. The convergence map is obtained by solving the nonlinear dynamical equation by iteration of the perturbation method and studying the convergence. The map provides information about the stability border of the dynamical aperture. We compare the map with the frequency map from tracking. The result in our example of nonlinear optimization of the NSLSII lattice shows the new method may be applied in nonlinear lattice optimization, taking advantage of the high speed (about 30~300 times faster) to explore x, y, and the offmomentum phase space. 

Poster WEPA80 [5.392 MB]  
DOI •  reference for this paper ※ doi:10.18429/JACoWNAPAC2022WEPA80  
About •  Received ※ 19 July 2022 — Revised ※ 26 July 2022 — Accepted ※ 08 August 2022 — Issue date ※ 10 August 2022  
Cite •  reference for this paper using ※ BibTeX, ※ LaTeX, ※ Text/Word, ※ RIS, ※ EndNote (xml)  