Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification

In the aspect of longitudinal beam bunching, the bunching strength can be controlled by the rf cavity phase and voltage. However, these machine parameters are different from those that interact with the beam itself. In order to gain control of the beam-cavity interaction, cavity calibration must be...

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Main Authors: K. Shih, I. Petrushina, V. N. Litvinenko, I. Pinayev, J. Ma, G. Wang, Y. Jing, Y. Wu
Format: Article
Language:English
Published: American Physical Society 2023-06-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.26.064201
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author K. Shih
I. Petrushina
V. N. Litvinenko
I. Pinayev
J. Ma
G. Wang
Y. Jing
Y. Wu
author_facet K. Shih
I. Petrushina
V. N. Litvinenko
I. Pinayev
J. Ma
G. Wang
Y. Jing
Y. Wu
author_sort K. Shih
collection DOAJ
description In the aspect of longitudinal beam bunching, the bunching strength can be controlled by the rf cavity phase and voltage. However, these machine parameters are different from those that interact with the beam itself. In order to gain control of the beam-cavity interaction, cavity calibration must be performed. Furthermore, it relies on fitting the beam energy gain versus cavity phase to a calibration function. Under the conventional assumption of relativistic beam conditions, the calibration function is a first harmonic sinusoidal function (a sinusoidal function with a period of 2π). However, this expression is insufficient for a high-voltage bunching cavity. Due to beam acceleration inside the cavity, an energy bias and a second harmonic function should be included to modify the conventional calibration function, even for a relativistic electron beam. In this paper, we will derive this modification and provide a comparison to both the Coherent Electron Cooling Experiment and the impact-t simulation, respectively.
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spelling doaj.art-42c17e2575fb47c4b0245e86434326f32023-06-13T14:20:05ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882023-06-0126606420110.1103/PhysRevAccelBeams.26.064201Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verificationK. ShihI. PetrushinaV. N. LitvinenkoI. PinayevJ. MaG. WangY. JingY. WuIn the aspect of longitudinal beam bunching, the bunching strength can be controlled by the rf cavity phase and voltage. However, these machine parameters are different from those that interact with the beam itself. In order to gain control of the beam-cavity interaction, cavity calibration must be performed. Furthermore, it relies on fitting the beam energy gain versus cavity phase to a calibration function. Under the conventional assumption of relativistic beam conditions, the calibration function is a first harmonic sinusoidal function (a sinusoidal function with a period of 2π). However, this expression is insufficient for a high-voltage bunching cavity. Due to beam acceleration inside the cavity, an energy bias and a second harmonic function should be included to modify the conventional calibration function, even for a relativistic electron beam. In this paper, we will derive this modification and provide a comparison to both the Coherent Electron Cooling Experiment and the impact-t simulation, respectively.http://doi.org/10.1103/PhysRevAccelBeams.26.064201
spellingShingle K. Shih
I. Petrushina
V. N. Litvinenko
I. Pinayev
J. Ma
G. Wang
Y. Jing
Y. Wu
Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification
Physical Review Accelerators and Beams
title Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification
title_full Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification
title_fullStr Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification
title_full_unstemmed Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification
title_short Improved calibration of rf cavities for relativistic electron beams: Effects of secondary corrections and experimental verification
title_sort improved calibration of rf cavities for relativistic electron beams effects of secondary corrections and experimental verification
url http://doi.org/10.1103/PhysRevAccelBeams.26.064201
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