Steady fields of coherent synchrotron radiation in a rectangular pipe
We study longitudinal fields of coherent synchrotron radiation in a perfectly conducting rectangular pipe. Our theory is based on the paraxial approximation of electromagnetic waves in the frequency domain. The longitudinal impedance of coherent radiation is obtained. By considering the pole structu...
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| Format: | Article |
| Language: | English |
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American Physical Society
2009-09-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.12.094402 |
| _version_ | 1818309751245635584 |
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| author | Tomonori Agoh |
| author_facet | Tomonori Agoh |
| author_sort | Tomonori Agoh |
| collection | DOAJ |
| description | We study longitudinal fields of coherent synchrotron radiation in a perfectly conducting rectangular pipe. Our theory is based on the paraxial approximation of electromagnetic waves in the frequency domain. The longitudinal impedance of coherent radiation is obtained. By considering the pole structure of the impedance in a rectangular pipe, we have derived the analytical expression of the longitudinal field in the time domain. According to the analysis, we show how the sidewalls of the vacuum chamber affect the longitudinal field of coherent radiation. In addition, we discuss the limit of applicability of the paraxial approximation. |
| first_indexed | 2024-12-13T07:35:09Z |
| format | Article |
| id | doaj.art-8405fe491230488697c30337049006d3 |
| institution | Directory Open Access Journal |
| issn | 1098-4402 |
| language | English |
| last_indexed | 2024-12-13T07:35:09Z |
| publishDate | 2009-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Special Topics. Accelerators and Beams |
| spelling | doaj.art-8405fe491230488697c30337049006d32022-12-21T23:55:05ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022009-09-0112909440210.1103/PhysRevSTAB.12.094402Steady fields of coherent synchrotron radiation in a rectangular pipeTomonori AgohWe study longitudinal fields of coherent synchrotron radiation in a perfectly conducting rectangular pipe. Our theory is based on the paraxial approximation of electromagnetic waves in the frequency domain. The longitudinal impedance of coherent radiation is obtained. By considering the pole structure of the impedance in a rectangular pipe, we have derived the analytical expression of the longitudinal field in the time domain. According to the analysis, we show how the sidewalls of the vacuum chamber affect the longitudinal field of coherent radiation. In addition, we discuss the limit of applicability of the paraxial approximation.http://doi.org/10.1103/PhysRevSTAB.12.094402 |
| spellingShingle | Tomonori Agoh Steady fields of coherent synchrotron radiation in a rectangular pipe Physical Review Special Topics. Accelerators and Beams |
| title | Steady fields of coherent synchrotron radiation in a rectangular pipe |
| title_full | Steady fields of coherent synchrotron radiation in a rectangular pipe |
| title_fullStr | Steady fields of coherent synchrotron radiation in a rectangular pipe |
| title_full_unstemmed | Steady fields of coherent synchrotron radiation in a rectangular pipe |
| title_short | Steady fields of coherent synchrotron radiation in a rectangular pipe |
| title_sort | steady fields of coherent synchrotron radiation in a rectangular pipe |
| url | http://doi.org/10.1103/PhysRevSTAB.12.094402 |
| work_keys_str_mv | AT tomonoriagoh steadyfieldsofcoherentsynchrotronradiationinarectangularpipe |