Coherent synchrotron radiation by electrons moving on circular orbits
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 substitu...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017-06-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.20.064402 |
| _version_ | 1818504827348451328 |
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| author | Yunhai Cai |
| author_facet | Yunhai Cai |
| author_sort | Yunhai Cai |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T21:42:30Z |
| format | Article |
| id | doaj.art-193eb0864679498fa8b7d268ff0440f6 |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-12-10T21:42:30Z |
| publishDate | 2017-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-193eb0864679498fa8b7d268ff0440f62022-12-22T01:32:28ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882017-06-0120606440210.1103/PhysRevAccelBeams.20.064402Coherent synchrotron radiation by electrons moving on circular orbitsYunhai CaiWe 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.http://doi.org/10.1103/PhysRevAccelBeams.20.064402 |
| spellingShingle | Yunhai Cai Coherent synchrotron radiation by electrons moving on circular orbits Physical Review Accelerators and Beams |
| title | Coherent synchrotron radiation by electrons moving on circular orbits |
| title_full | Coherent synchrotron radiation by electrons moving on circular orbits |
| title_fullStr | Coherent synchrotron radiation by electrons moving on circular orbits |
| title_full_unstemmed | Coherent synchrotron radiation by electrons moving on circular orbits |
| title_short | Coherent synchrotron radiation by electrons moving on circular orbits |
| title_sort | coherent synchrotron radiation by electrons moving on circular orbits |
| url | http://doi.org/10.1103/PhysRevAccelBeams.20.064402 |
| work_keys_str_mv | AT yunhaicai coherentsynchrotronradiationbyelectronsmovingoncircularorbits |