# 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:

- 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), Basic Energy Sciences (BES) (SC-22)

- 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 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. Thu .
"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:

##
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

##
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

##
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

##
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

##
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

##
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

##
Novel Relativistic Effect Important in Accelerators

journal, April 1986

- Talman, Richard
- Physical Review Letters, Vol. 56, Issue 14

##
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

##
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

##
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

##
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

##
Coherent synchrotron radiation by electrons moving on circular orbits

journal, June 2017

- Cai, Yunhai
- Physical Review Accelerators and Beams, Vol. 20, Issue 6

##
Theory of the alternating-gradient synchrotron

journal, January 1958

- Courant, E. D.; Snyder, H. S.
- Annals of Physics, Vol. 3, Issue 1

##
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

##
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

##
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