Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers

This paper examines the impact of non-linear longitudinal phase distortions on the spectral bandwidth in echo seeded free electron lasers (FELs). It extends the existing theory developed in Hemsing [1] for echo-enabled harmonic generation (EEHG) to include finite laser pulse durations. An analytic e...

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Main Author: Erik Hemsing
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-03-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00035/full
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author Erik Hemsing
author_facet Erik Hemsing
author_sort Erik Hemsing
collection DOAJ
description This paper examines the impact of non-linear longitudinal phase distortions on the spectral bandwidth in echo seeded free electron lasers (FELs). It extends the existing theory developed in Hemsing [1] for echo-enabled harmonic generation (EEHG) to include finite laser pulse durations. An analytic expression for the shape of the optimized longitudinal bunching envelope is derived, and is used to determine the laser and electron beam pulse durations that minimize the seeded bandwidth in the presence of arbitrary phase distortions. The time-bandwidth product (TBP) is also derived, and is shown that the TBP and the bandwidth increase by no more than 2 from their transform-limited values when the bandwidth is minimized.
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spelling doaj.art-6ff8231eae184826aeb4571bd806fe372022-12-22T00:30:18ZengFrontiers Media S.A.Frontiers in Physics2296-424X2019-03-01710.3389/fphy.2019.00035428831Minimum Spectral Bandwidth in Echo Seeded Free Electron LasersErik HemsingThis paper examines the impact of non-linear longitudinal phase distortions on the spectral bandwidth in echo seeded free electron lasers (FELs). It extends the existing theory developed in Hemsing [1] for echo-enabled harmonic generation (EEHG) to include finite laser pulse durations. An analytic expression for the shape of the optimized longitudinal bunching envelope is derived, and is used to determine the laser and electron beam pulse durations that minimize the seeded bandwidth in the presence of arbitrary phase distortions. The time-bandwidth product (TBP) is also derived, and is shown that the TBP and the bandwidth increase by no more than 2 from their transform-limited values when the bandwidth is minimized.https://www.frontiersin.org/article/10.3389/fphy.2019.00035/fullFEL (free electron laser)EEHGechoseededxraychirp
spellingShingle Erik Hemsing
Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers
Frontiers in Physics
FEL (free electron laser)
EEHG
echo
seeded
xray
chirp
title Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers
title_full Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers
title_fullStr Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers
title_full_unstemmed Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers
title_short Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers
title_sort minimum spectral bandwidth in echo seeded free electron lasers
topic FEL (free electron laser)
EEHG
echo
seeded
xray
chirp
url https://www.frontiersin.org/article/10.3389/fphy.2019.00035/full
work_keys_str_mv AT erikhemsing minimumspectralbandwidthinechoseededfreeelectronlasers