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Title: 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.
Authors:
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
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}
}