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Possible emittance growth induced by nonlinear space charge fields for arbitrary particle distributions

Takashi Kikuchi (菊池 崇志) and Kazuhiko Horioka (堀岡 一彦)
Phys. Rev. Accel. Beams 19, 064201 – Published 16 June 2016

Abstract

A procedure to obtain a ratio of beam radii at final and initial states in arbitrary particle distributions is proposed, and is applied to the estimation of possible emittance growth for Gaussian and thermal equilibrium distributions. The ratios are estimated for Gaussian and thermal equilibrium distributions as a function of tune depression. The possible emittance growth as a function of tune depression and nonlinear field energy factor is also estimated with and without a constant radius ratio approximation. It is confirmed that the possible emittance growths are almost the same in comparison to the cases with and without the constant radius ratio approximation at each distribution.

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  • Received 14 April 2016

DOI:https://doi.org/10.1103/PhysRevAccelBeams.19.064201

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Accelerators & Beams

Authors & Affiliations

Takashi Kikuchi (菊池 崇志)*

  • Department of Nuclear System Safety Engineering, Nagaoka University of Technology, 1603–1 Kamitomioka-machi, Nagaoka, Niigata 940–2188, Japan

Kazuhiko Horioka (堀岡 一彦)

  • Department of Energy Sciences, Tokyo Institute of Technology, 4259 Nagatsuta-cho, Yokohama, Kanagawa 226–8502, Japan

  • *tkikuchi@vos.nagaokaut.ac.jp

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Issue

Vol. 19, Iss. 6 — June 2016

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