# 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}

}

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DOI: 10.1103/PhysRevAccelBeams.23.014402

DOI: 10.1103/PhysRevAccelBeams.23.014402

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