THP42

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URL	https://doi.org/10.18429/JACoW-SAP2025-THP42
Title	Spectral form function with applications in beam physics
Authors	X. Deng Tsinghua University
Abstract	To describe longitudinal fine structure within a particle beam like microbunching, a classical approach is to define a bunching factor or form factor which is the Fourier transform of the particle density distribution in longitudinal dimension. Such a 1D definition of form factor can be generalized to 6D spectral form function (SFF) to describe more complicated structure in phase space. The complex SFF is another complete description of beam in spectral domain and can offer complementary and valuable insight in beam dynamics study which usually invokes the real particle density distribution. The basic property and Fokker-Planck equation of the SFF is presented, along with its solution in a general coupled linear lattice. The example applications of SFF in electron storage ring physics and laser-induced microbunching are presented.
Paper	download: THP42.pdf
Cite	BibTeX, LaTeX, Text/Word, RIS, EndNote
Conference	15th Symposium on Accelerator Physics
Series
Location	Urumqi, China
Date	02-05 Sep 2025
Publisher	JACoW Publishing, Geneva, Switzerland
Editorial Board	Lin Bian - Editor in Chief (IHEP), Zhichu Chen (SARI), Fancong Zeng (IHEP).
Online ISBN	978-3-95450-279-0
Online ISSN	3043-0208
Received	17 October 2025
Revised	11 November 2025
Accepted	11 November 2025
Issued	09 March 2026
DOI	10.18429/JACoW-SAP2025-THP42
Pages	76-79
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.