Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator

It has been known that a high-brightness electron beam emits broadband synchrotron radiation when traversing a curved orbit. The radiation reaction at wavelengths comparable to the bunch length or to the wavelength of a phase space modulated beam may lead to collective instabilities. In this paper,...

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Autores principales:	Cheng-Ying Tsai, Alexander Wu Chao, Yi Jiao, Hao-Wen Luo, Make Ying, Qinghong Zhou
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/9f993ab1971c42939d94b55f5d7fe93a
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spelling	oai:doaj.org-article:9f993ab1971c42939d94b55f5d7fe93a2021-11-29T18:36:15ZCoherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator10.1103/PhysRevAccelBeams.24.1144012469-9888https://doaj.org/article/9f993ab1971c42939d94b55f5d7fe93a2021-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevAccelBeams.24.114401http://doi.org/10.1103/PhysRevAccelBeams.24.114401https://doaj.org/toc/2469-9888It has been known that a high-brightness electron beam emits broadband synchrotron radiation when traversing a curved orbit. The radiation reaction at wavelengths comparable to the bunch length or to the wavelength of a phase space modulated beam may lead to collective instabilities. In this paper, we investigate a potential single-pass instability mechanism of coherent-radiation-induced longitudinal multibunch beam breakup (BBU) instability in the presence of a closely spaced microbunch train in an undulator, particularly when the microbunch spacing is close to the resonant wavelength of the undulator. This problem is formulated based on the macroparticle model together with the slippage constraint on the beam-wave interaction. The set of coupled differential equations for individual microbunches can be solved analytically for the first few microbunches with linearization of the coherent radiation wakefield, and numerically in general nonlinear cases for unequal spacing or nonuniform filling charges. The underlying mechanisms, including the slippage effect, the potential-well effect leading to extra focusing, dependence of microbunch spacing and filling patterns, are discussed. The analysis is then applied to the recently proposed steady-state microbunching (SSMB) mechanism with two examples serving for the high average coherent radiation power sources for extreme ultraviolet (EUV) and infrared wavelength regions. For the specific scenario considered in this paper, it is found that when the microbunch spacing is close to the fundamental resonant wavelength, the coherent radiation can provide extra longitudinal focusing for the individual microbunches, leading to more stable multibunch oscillations. For the preliminary nominal SSMB designs with the average beam current of 1 A, our studies show that the single-pass longitudinal BBU instability should not be a severe issue.Cheng-Ying TsaiAlexander Wu ChaoYi JiaoHao-Wen LuoMake YingQinghong ZhouAmerican Physical SocietyarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENPhysical Review Accelerators and Beams, Vol 24, Iss 11, p 114401 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Cheng-Ying Tsai Alexander Wu Chao Yi Jiao Hao-Wen Luo Make Ying Qinghong Zhou Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
description	It has been known that a high-brightness electron beam emits broadband synchrotron radiation when traversing a curved orbit. The radiation reaction at wavelengths comparable to the bunch length or to the wavelength of a phase space modulated beam may lead to collective instabilities. In this paper, we investigate a potential single-pass instability mechanism of coherent-radiation-induced longitudinal multibunch beam breakup (BBU) instability in the presence of a closely spaced microbunch train in an undulator, particularly when the microbunch spacing is close to the resonant wavelength of the undulator. This problem is formulated based on the macroparticle model together with the slippage constraint on the beam-wave interaction. The set of coupled differential equations for individual microbunches can be solved analytically for the first few microbunches with linearization of the coherent radiation wakefield, and numerically in general nonlinear cases for unequal spacing or nonuniform filling charges. The underlying mechanisms, including the slippage effect, the potential-well effect leading to extra focusing, dependence of microbunch spacing and filling patterns, are discussed. The analysis is then applied to the recently proposed steady-state microbunching (SSMB) mechanism with two examples serving for the high average coherent radiation power sources for extreme ultraviolet (EUV) and infrared wavelength regions. For the specific scenario considered in this paper, it is found that when the microbunch spacing is close to the fundamental resonant wavelength, the coherent radiation can provide extra longitudinal focusing for the individual microbunches, leading to more stable multibunch oscillations. For the preliminary nominal SSMB designs with the average beam current of 1 A, our studies show that the single-pass longitudinal BBU instability should not be a severe issue.
format	article
author	Cheng-Ying Tsai Alexander Wu Chao Yi Jiao Hao-Wen Luo Make Ying Qinghong Zhou
author_facet	Cheng-Ying Tsai Alexander Wu Chao Yi Jiao Hao-Wen Luo Make Ying Qinghong Zhou
author_sort	Cheng-Ying Tsai
title	Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
title_short	Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
title_full	Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
title_fullStr	Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
title_full_unstemmed	Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
title_sort	coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/9f993ab1971c42939d94b55f5d7fe93a
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Coherent-radiation-induced longitudinal single-pass beam breakup instability of a steady-state microbunch train in an undulator

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