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Title: Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers

Abstract

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 Ref.~\cite{HemsingBunchingPhase} 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 $$\sqrt{2}$$ from their transform-limited values when the bandwidth is minimized.

Authors:
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1498530
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Program Document
Country of Publication:
United States
Language:
English

Citation Formats

Hemsing, Erik. Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers. United States: N. p., 2019. Web.
Hemsing, Erik. Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers. United States.
Hemsing, Erik. Tue . "Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers". United States. https://www.osti.gov/servlets/purl/1498530.
@article{osti_1498530,
title = {Minimum Spectral Bandwidth in Echo Seeded Free Electron Lasers},
author = {Hemsing, Erik},
abstractNote = {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 Ref.~\cite{HemsingBunchingPhase} 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 $\sqrt{2}$ from their transform-limited values when the bandwidth is minimized.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {1}
}

Program Document:
Other availability
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