Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor
Abstract
We develop a three-dimensional theory of coherent synchrotron radiation in steady-state. Starting from the Hamiltonian in the Courant-Synder theory in a curvilinear coordinate system, we find that the transverse force is essentially the Lorentz force with an additional term: -eϕ/ρ in the bending plane, where ϕ is the potential and ρ the bending radius. The potential term partially cancels the centrifugal force, resulting in a residual wakefield: -Λδ(z)/ρ, where, 2 ≤ Λ ≤ 4 and z is the longitudinal coordinate. The measurement in the bunch compressor supports the sign predicted by the theory but with a smaller value.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1581843
- Alternate Identifier(s):
- OSTI ID: 1591611; OSTI ID: 1591613
- 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: 23 Journal Issue: 1; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS
Citation Formats
Cai, Yunhai, and Ding, Yuantao. Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor. United States: N. p., 2020.
Web. doi:10.1103/PhysRevAccelBeams.23.014402.
Cai, Yunhai, & Ding, Yuantao. Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor. United States. doi:10.1103/PhysRevAccelBeams.23.014402.
Cai, Yunhai, and Ding, Yuantao. Wed .
"Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor". United States. doi:10.1103/PhysRevAccelBeams.23.014402.
@article{osti_1581843,
title = {Three-dimensional effects of coherent synchrotron radiation by electrons in a bunch compressor},
author = {Cai, Yunhai and Ding, Yuantao},
abstractNote = {We develop a three-dimensional theory of coherent synchrotron radiation in steady-state. Starting from the Hamiltonian in the Courant-Synder theory in a curvilinear coordinate system, we find that the transverse force is essentially the Lorentz force with an additional term: -eϕ/ρ in the bending plane, where ϕ is the potential and ρ the bending radius. The potential term partially cancels the centrifugal force, resulting in a residual wakefield: -Λδ(z)/ρ, where, 2 ≤ Λ ≤ 4 and z is the longitudinal coordinate. The measurement in the bunch compressor supports the sign predicted by the theory but with a smaller value.},
doi = {10.1103/PhysRevAccelBeams.23.014402},
journal = {Physical Review Accelerators and Beams},
number = 1,
volume = 23,
place = {United States},
year = {2020},
month = {1}
}
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.23.014402
DOI: 10.1103/PhysRevAccelBeams.23.014402
Other availability
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Threshold studies of the microwave instability in electron storage rings
journal, October 2010
- Bane, K. L. F.; Cai, Y.; Stupakov, G.
- Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 10
Curvature-induced bunch self-interaction for an energy-chirped bunch in magnetic bends
journal, February 2008
- Li, Rui
- Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 2
Simple method for particle tracking with coherent synchrotron radiation
journal, July 2001
- Borland, M.
- Physical Review Special Topics - Accelerators and Beams, Vol. 4, Issue 7
Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation
journal, May 2007
- Gillingham, D. R.; Antonsen, T. M.
- Physical Review Special Topics - Accelerators and Beams, Vol. 10, Issue 5
Coherent synchrotron radiation instability in a bunch compressor
journal, June 2002
- Heifets, S.; Stupakov, G.; Krinsky, S.
- Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue 6
On the coherent radiation of an electron bunch moving in an arc of a circle
journal, October 1997
- Saldin, E. L.; Schneidmiller, E. A.; Yurkov, M. V.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 398, Issue 2-3
Novel Relativistic Effect Important in Accelerators
journal, April 1986
- Talman, Richard
- Physical Review Letters, Vol. 56, Issue 14
Theory of the alternating-gradient synchrotron
journal, January 1958
- Courant, E. D.; Snyder, H. S.
- Annals of Physics, Vol. 3, Issue 1
Measurements and modeling of coherent synchrotron radiation and its impact on the Linac Coherent Light Source electron beam
journal, March 2009
- Bane, K. L. F.; Decker, F. -J.; Ding, Y.
- Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 3
Coherent synchrotron radiation by electrons moving on circular orbits
journal, June 2017
- Cai, Yunhai
- Physical Review Accelerators and Beams, Vol. 20, Issue 6
Efficient field calculation of 3D bunches on general trajectories
journal, May 2000
- Dohlus, M.; Kabel, A.; Limberg, T.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 445, Issue 1-3
Field dynamics of coherent synchrotron radiation using a direct numerical solution of Maxwell’s equations
journal, June 2011
- Novokhatski, A.
- Physical Review Special Topics - Accelerators and Beams, Vol. 14, Issue 6
Simulation codes for high brightness electron beam free-electron laser experiments
journal, November 2003
- Giannessi, Luca
- Physical Review Special Topics - Accelerators and Beams, Vol. 6, Issue 11
Three-dimensional quasistatic model for high brightness beam dynamics simulation
journal, April 2006
- Qiang, Ji; Lidia, Steve; Ryne, Robert D.
- Physical Review Special Topics - Accelerators and Beams, Vol. 9, Issue 4
Formulas for coherent synchrotron radiation microbunching in a bunch compressor chicane
journal, July 2002
- Huang, Zhirong; Kim, Kwang-Je
- Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue 7
Microbunching instability in a chicane: Two-dimensional mean field treatment
journal, August 2009
- Bassi, Gabriele; Ellison, James A.; Heinemann, Klaus
- Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 8
Emittance growth due to wake fields on curved bunch trajectories
journal, July 1997
- Dohlus, M.; Limberg, T.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 393, Issue 1-3