Abstract
We continue the study of single-particle dynamics in a more realistic cell, namely, the double-bend achromat with three families of quadrupoles. The cell is parametrized with the optical parameters including the phase advances and the horizontal beta functions at its entry and center. At zero chromaticity, we find that the landscape of the dynamic aperture in the tune plane can be captured by a simple formula constructed from the effective Hamiltonian of fourth order. Furthermore, the optimal dynamic aperture can be found by simply minimizing the third-order driving terms with equal weight in the effective Hamiltonian.
Highlights
Modern and dedicated synchrotron light sources based on electron storage rings were initiated by Chasman, Green, and Rowe [1], proposing a double focusing achromat lattice
Each periodical structure consists of two double-bend achromat (DBA) cells with a wiggler in the middle of the straight
The DBA cell was naturally extended to a triple-bend achromat [2,3]
Summary
Modern and dedicated synchrotron light sources based on electron storage rings were initiated by Chasman, Green, and Rowe [1], proposing a double focusing achromat lattice. In computation, dedicated codes BETA [13] and OPA [14] were developed to minimize the third- and fourth-order driving terms These codes have been successfully used to optimize the design of many light sources [15,16,17]. Utilizing enormous computing power, the multiobjective genetic algorithm [18,19] was introduced and enhanced by machine learning [20] to directly optimize the dynamic aperture. Despite these practical improvements, the relationship between the driving terms and dynamic aperture is still elusive. Region, we will naturally use harmonic sextupoles for the optimization
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
