Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes

In this paper, we study spontaneous coherent undulator emission from a short dense electron bunch. A special “negative-mass” undulator ensuring stabilization of the axial size of the bunch is considered. We focus on the situation where the competition between two different transverse waveguide modes...

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Main Authors: Yuliya Oparina, Andrei Savilov
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/15/5/1053
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author Yuliya Oparina
Andrei Savilov
author_facet Yuliya Oparina
Andrei Savilov
author_sort Yuliya Oparina
collection DOAJ
description In this paper, we study spontaneous coherent undulator emission from a short dense electron bunch. A special “negative-mass” undulator ensuring stabilization of the axial size of the bunch is considered. We focus on the situation where the competition between two different transverse waveguide modes takes place, so that the undulator resonance is provided simultaneously for three waves placed on the dispersion diagram symmetrically with respect to electrons (namely, the group velocity of the higher waveguide mode coincides with the electron velocity, whereas two resonance frequencies of the lower transverse mode correspond to wave group velocities, one of which slightly exceeds the translational velocity of electrons, with the other being less than the electron velocity). We show that the higher waveguide mode can win this competition due to its proximity to group synchronization with the electron bunch.
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spelling doaj.art-dabef05b840a4b3d9b511cd0a28737082023-11-18T03:30:15ZengMDPI AGSymmetry2073-89942023-05-01155105310.3390/sym15051053Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide ModesYuliya Oparina0Andrei Savilov1Department of Electrical and Electronic Engineering, The Schlesinger Family Center for Compact Accelerators, Radiation Sources and Applications (FEL), Ariel University, Ariel 40700, IsraelDepartment of Plasma Physics and High-Power Electronics, Institute of Applied Physics, Russian Academy of Sciences, 46 Ulyanov St., 603950 Nizhny Novgorod, RussiaIn this paper, we study spontaneous coherent undulator emission from a short dense electron bunch. A special “negative-mass” undulator ensuring stabilization of the axial size of the bunch is considered. We focus on the situation where the competition between two different transverse waveguide modes takes place, so that the undulator resonance is provided simultaneously for three waves placed on the dispersion diagram symmetrically with respect to electrons (namely, the group velocity of the higher waveguide mode coincides with the electron velocity, whereas two resonance frequencies of the lower transverse mode correspond to wave group velocities, one of which slightly exceeds the translational velocity of electrons, with the other being less than the electron velocity). We show that the higher waveguide mode can win this competition due to its proximity to group synchronization with the electron bunch.https://www.mdpi.com/2073-8994/15/5/1053undulator radiationterahertz radiationmode competition
spellingShingle Yuliya Oparina
Andrei Savilov
Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes
Symmetry
undulator radiation
terahertz radiation
mode competition
title Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes
title_full Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes
title_fullStr Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes
title_full_unstemmed Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes
title_short Coherent Spontaneous Emission from Short Electron Bunches: Competition between Different Transverse Waveguide Modes
title_sort coherent spontaneous emission from short electron bunches competition between different transverse waveguide modes
topic undulator radiation
terahertz radiation
mode competition
url https://www.mdpi.com/2073-8994/15/5/1053
work_keys_str_mv AT yuliyaoparina coherentspontaneousemissionfromshortelectronbunchescompetitionbetweendifferenttransversewaveguidemodes
AT andreisavilov coherentspontaneousemissionfromshortelectronbunchescompetitionbetweendifferenttransversewaveguidemodes