TUPB058

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URL	https://doi.org/10.18429/JACoW-LINAC2024-TUPB058
Title	A comparison of RMS moments and statistical divergences as ways to quantify the difference between beam phase space distributions
Authors	Y. Du, Z. Wang, C. Wong, L. Liu, C. Su, M. Yi, T. Zhang, B. Ma, Y. Chu, T. Li Institute of Modern Physics, Chinese Academy of Sciences L. Gong European Spallation Source ERIC H. Zhou, T. Wang Institute of Modern physics, Chinese Academy of Science
Abstract	Accurately assessing the difference between two beam distributions in high-dimensional phase space is crucial for interpreting experimental or simulation results. In this paper, we compare the common method of RMS moments and mismatch factors, and the method of statistical divergences that give the total contribution of differences at all points. We first show that, in the case of commonly used initial distributions, there is a one-to-one correspondence between mismatch factors and statistical divergences. This enables us to show how the values of several popular divergences vary with the mismatch factors, independent of the orientation of the phase space ellipsoid. We utilize these results to propose evaluation standards for these popular divergences, which will help interpret their values in the context of beam phase space distributions.
Paper	download: TUPB058.pdf
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Conference	32nd Linear Accelerator Conference (LINAC2024)
Series
Location	Chicago, IL, USA
Date	25-30 Aug 2024
Publisher	JACoW Publishing, Geneva, Switzerland
Editorial Board	Kelly Jaje (ANL), Kip Bishofberger (LANL), Ryan Brody (ANL), Gustavo Bruno (ANL), Jan Chrin (PSI), Cathy Eyberger (ANL), Maggie Montes (SLAC), Denise Skiadopoulos (ANL), Ling Wang (MSU/FRIB), Kent Wootton (ANL)
Online ISBN	978-3-95450-219-6
Online ISSN	2226-0366
Received	20 August 2024
Revised	28 August 2024
Accepted	28 August 2024
Issued	23 October 2024
DOI	10.18429/JACoW-LINAC2024-TUPB058
Pages	442-445
Copyright	Published by JACoW Publishing under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s), the published article's title, publisher, and DOI.