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@unpublished{yuan:hb2023-tua1c2,
author = {Y.S. Yuan and G. Franchetti},
title = {{Coherent Dispersion Effects in 2-D Coasting Beams and 3-D Bunched Beams in High-Intensity Hadron Synchrotrons}},
% booktitle = {Proc. HB'23},
booktitle = {Proc. ICFA Adv. Beam Dyn. Workshop High-Intensity High-Brightness Hadron Beams (HB'23)},
eventdate = {2023-10-09/2023-10-13},
language = {english},
intype = {presented at the},
series = {ICFA Advanced Beam Dynamics Workshop on High-Intensity and High-Brightness Hadron Beams},
number = {68},
venue = {Geneva, Switzerland},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {04},
year = {2024},
note = {presented at HB'23 in Geneva, Switzerland, unpublished},
abstract = {{Both space charge and dispersion have an effect on high intensity beams in circular accelerators or transport sections with bending magnets, and may lead to emittance growth or even beam loss. In this work we study the combined effect of dispersion and space charge on both 2-D and 3-D high-intensity beams. Based on 2-D envelope equations extended by dispersion, and particle-in-cell simulations, we investigate the mismatched oscillation and coherent instabilities in an rms self-consistent manner. Main characteristics of the space-charge modified dispersion are discussed. It is found that the parametric and confluent resonances in 90 deg envelope insatiability can be separated because of dispersion. The recently-discovered 120 deg dispersion instability is also detailed discussed. For 3-D bunched beams, a splitting effect on dispersion mode and side bands of envelope modes due to synchrotron motion are presented. The mechanism of the splitting effect on the dispersion mode with space charge is analyzed. Moreover, the 120 deg dispersion instability in the 3-D bunched beam are presented with a discussion on possible methods for measuring the dispersion mode in hadron synchrotrons.}},
}