Coherent synchrotron radiation by electrons moving on circular orbits
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 B _{x,y} → (1+x/ρ)B _{x,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.
- 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: 6; 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:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
- OSTI Identifier:
- 1363971
- Alternate Identifier(s):
- OSTI ID: 1369392
Cai, Yunhai. Coherent synchrotron radiation by electrons moving on circular orbits. United States: N. p.,
Web. doi:10.1103/PhysRevAccelBeams.20.064402.
Cai, Yunhai. Coherent synchrotron radiation by electrons moving on circular orbits. United States. doi:10.1103/PhysRevAccelBeams.20.064402.
Cai, Yunhai. 2017.
"Coherent synchrotron radiation by electrons moving on circular orbits". United States.
doi: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 = {2017},
month = {6}
}