JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
@inproceedings{park:hb2023-wea3c3,
author = {C.S. Park},
title = {{Differential Algebra for Accelerator Optimization with Truncated Green’s Function}},
% booktitle = {Proc. HB'23},
booktitle = {Proc. 68th Adv. Beam Dyn. Workshop High-Intensity High-Brightness Hadron Beams (HB'23)},
eventdate = {2023-10-09/2023-10-13},
pages = {254--257},
paper = {WEA3C3},
language = {english},
keywords = {space-charge, simulation, framework, multipole, operation},
venue = {Geneva, Switzerland},
series = {ICFA Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams},
number = {68},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {04},
year = {2024},
issn = {2673-5571},
isbn = {978-3-95450-253-0},
doi = {10.18429/JACoW-HB2023-WEA3C3},
url = {https://jacow.org/hb2023/papers/wea3c3.pdf},
abstract = {{Accelerator optimization is a critical problem in the design of high-performance particle accelerators. The truncated Green’s function space charge algorithm is a powerful tool for simulating the effects of space charge in accelerators. However, the truncated Green’s function algorithm can be computationally expensive, especially for large accelerators. In this work, we present a new approach to accelerator optimization using differential algebra with the truncated Green’s function space charge algorithm. Our approach uses differential algebra to symbolically represent the equations of the truncated Green’s function algorithm. This allows us to perform efficient symbolic analysis of the equations, which can be used to identify and optimize the accelerator parameters. We demonstrate the effectiveness of our approach by applying it to the optimization of a linear accelerator. We show that our approach can significantly reduce the computational cost of the truncated Green’s function algorithm, while still achieving high accuracy.}},
}