Coherent synchrotron radiation by electrons moving on circular orbits
Abstract
Here, we study coherent synchrotron radiation by electrons in the Frenet-Serret coordinate system with a constant curvature 1/ρ. Based on the Hamiltonian in the Courant-Synder theory of particle accelerators, we find in general that the transverse force is essentially the Lorentz force but with a substitution of the transverse magnetic field Bx,y → (1+x/ρ)Bx,y, where x and y are the transverse positions. The curvature term provides us a key to derive the point-charge wakefield explicitly in terms of the incomplete elliptic integrals of the first and second kind, resulting in a steady-state theory of the coherent synchrotron radiation in two-dimensional free space.
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1363971
- Alternate Identifier(s):
- OSTI ID: 1369392
- 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: 6; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cai, Yunhai. Coherent synchrotron radiation by electrons moving on circular orbits. United States: N. p., 2017.
Web. doi:10.1103/PhysRevAccelBeams.20.064402.
Cai, Yunhai. Coherent synchrotron radiation by electrons moving on circular orbits. United States. https://doi.org/10.1103/PhysRevAccelBeams.20.064402
Cai, Yunhai. Wed .
"Coherent synchrotron radiation by electrons moving on circular orbits". United States. https://doi.org/10.1103/PhysRevAccelBeams.20.064402.
@article{osti_1363971,
title = {Coherent synchrotron radiation by electrons moving on circular orbits},
author = {Cai, Yunhai},
abstractNote = {Here, we study coherent synchrotron radiation by electrons in the Frenet-Serret coordinate system with a constant curvature 1/ρ. Based on the Hamiltonian in the Courant-Synder theory of particle accelerators, we find in general that the transverse force is essentially the Lorentz force but with a substitution of the transverse magnetic field Bx,y → (1+x/ρ)Bx,y, where x and y are the transverse positions. The curvature term provides us a key to derive the point-charge wakefield explicitly in terms of the incomplete elliptic integrals of the first and second kind, resulting in a steady-state theory of the coherent synchrotron radiation in two-dimensional free space.},
doi = {10.1103/PhysRevAccelBeams.20.064402},
journal = {Physical Review Accelerators and Beams},
number = 6,
volume = 20,
place = {United States},
year = {Wed Jun 14 00:00:00 EDT 2017},
month = {Wed Jun 14 00:00:00 EDT 2017}
}
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https://doi.org/10.1103/PhysRevAccelBeams.20.064402
https://doi.org/10.1103/PhysRevAccelBeams.20.064402
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Cited by: 10 works
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Works referencing / citing this record:
Beyond the limits of 1D coherent synchrotron radiation
journal, July 2018
- Brynes, A. D.; Smorenburg, P.; Akkermans, I.
- New Journal of Physics, Vol. 20, Issue 7