skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Effect of an angular trajectory kick in a high-gain free-electron laser

Abstract

In a free-electron laser, a transverse momentum offset (or “kick”) results in an oscillation of the centroid of the electron beam about the undulator axis. Studying the influence of this effect on the free-electron laser (FEL) interaction is important both from a tolerance point of view and for its potential diagnostic applications. In this paper, we present a self-consistent theoretical analysis of a high-gain FEL driven by such a “kicked” beam. In particular, we derive a solution to the three-dimensional, linearized initial value problem of the FEL through an orthogonal expansion technique and also describe a variational method for calculating the average FEL growth rate. Lastly, our results are benchmarked with genesis simulations and provide a robust theoretical background for a comparison with previous analytical results.

Authors:
; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1352100
Alternate Identifier(s):
OSTI ID: 1360911
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 20 Journal Issue: 4; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Baxevanis, Panagiotis, Huang, Zhirong, and Stupakov, Gennady. Effect of an angular trajectory kick in a high-gain free-electron laser. United States: N. p., 2017. Web. doi:10.1103/PhysRevAccelBeams.20.040703.
Baxevanis, Panagiotis, Huang, Zhirong, & Stupakov, Gennady. Effect of an angular trajectory kick in a high-gain free-electron laser. United States. doi:10.1103/PhysRevAccelBeams.20.040703.
Baxevanis, Panagiotis, Huang, Zhirong, and Stupakov, Gennady. Tue . "Effect of an angular trajectory kick in a high-gain free-electron laser". United States. doi:10.1103/PhysRevAccelBeams.20.040703.
@article{osti_1352100,
title = {Effect of an angular trajectory kick in a high-gain free-electron laser},
author = {Baxevanis, Panagiotis and Huang, Zhirong and Stupakov, Gennady},
abstractNote = {In a free-electron laser, a transverse momentum offset (or “kick”) results in an oscillation of the centroid of the electron beam about the undulator axis. Studying the influence of this effect on the free-electron laser (FEL) interaction is important both from a tolerance point of view and for its potential diagnostic applications. In this paper, we present a self-consistent theoretical analysis of a high-gain FEL driven by such a “kicked” beam. In particular, we derive a solution to the three-dimensional, linearized initial value problem of the FEL through an orthogonal expansion technique and also describe a variational method for calculating the average FEL growth rate. Lastly, our results are benchmarked with genesis simulations and provide a robust theoretical background for a comparison with previous analytical results.},
doi = {10.1103/PhysRevAccelBeams.20.040703},
journal = {Physical Review Accelerators and Beams},
number = 4,
volume = 20,
place = {United States},
year = {2017},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.20.040703

Save / Share:

Works referenced in this record:

Operation of a free-electron laser from the extreme ultraviolet to the water window
journal, June 2007


Collective instabilities and high-gain regime in a free electron laser
journal, July 1984


Consideration on the BPM alignment tolerance in X-ray FELs
journal, August 2004

  • Tanaka, T.; Kitamura, H.; Shintake, T.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 528, Issue 1-2
  • DOI: 10.1016/j.nima.2004.04.040

A compact X-ray free-electron laser emitting in the sub-ångström region
journal, June 2012


Review of x-ray free-electron laser theory
journal, March 2007


Polarization control in an X-ray free-electron laser
journal, May 2016

  • Lutman, Alberto A.; MacArthur, James P.; Ilchen, Markus
  • Nature Photonics, Vol. 10, Issue 7
  • DOI: 10.1038/nphoton.2016.79

First lasing and operation of an ångstrom-wavelength free-electron laser
journal, August 2010


Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet
journal, September 2012


GENESIS 1.3: a fully 3D time-dependent FEL simulation code
journal, June 1999

  • Reiche, S.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 429, Issue 1-3
  • DOI: 10.1016/S0168-9002(99)00114-X

Analysis of radiation focusing and steering in the free-electron laser by use of a source-dependent expansion technique
journal, September 1987


General method for analyzing three-dimensional effects in free-electron laser amplifiers
journal, January 2013

  • Baxevanis, Panagiotis; Ruth, Ronald D.; Huang, Zhirong
  • Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 1
  • DOI: 10.1103/PhysRevSTAB.16.010705

High gain free electron lasers driven by flat electron beam
journal, July 2003

  • Xie, Ming
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 507, Issue 1-2
  • DOI: 10.1016/S0168-9002(03)00964-1