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

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:
 [1] ;  [1] ;  [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Grant/Contract Number:
AC02-76SF00515
Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Volume: 20; Journal Issue: 4; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS
OSTI Identifier:
1352100
Alternate Identifier(s):
OSTI ID: 1360911

Baxevanis, Panagiotis, Huang, Zhirong, and Stupakov, Gennady. Effect of an angular trajectory kick in a high-gain free-electron laser. United States: N. p., 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. 2017. "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}
}