Efficient computation of coherent synchrotron radiation in a rectangular chamber
We study coherent synchrotron radiation (CSR) in a perfectly conducting vacuum chamber of rectangular cross section, in a formalism allowing an arbitrary sequence of bends and straight sections. We apply the paraxial method in the frequency domain, with a Fourier development in the vertical coordina...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2016-09-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.19.090705 |
| _version_ | 1818617717674999808 |
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| author | Robert L. Warnock David A. Bizzozero |
| author_facet | Robert L. Warnock David A. Bizzozero |
| author_sort | Robert L. Warnock |
| collection | DOAJ |
| description | We study coherent synchrotron radiation (CSR) in a perfectly conducting vacuum chamber of rectangular cross section, in a formalism allowing an arbitrary sequence of bends and straight sections. We apply the paraxial method in the frequency domain, with a Fourier development in the vertical coordinate but with no other mode expansions. A line charge source is handled numerically by a new method that rids the equations of singularities through a change of dependent variable. The resulting algorithm is fast compared to earlier methods, works for short bunches with complicated structure, and yields all six field components at any space-time point. As an example we compute the tangential magnetic field at the walls. From that one can make a perturbative treatment of the Poynting flux to estimate the energy deposited in resistive walls. The calculation was motivated by a design issue for LCLS-II, the question of how much wall heating from CSR occurs in the last bend of a bunch compressor and the following straight section. Working with a realistic longitudinal bunch form of r.m.s. length 10.4 μm and a charge of 100 pC we conclude that the radiated power is quite small (28 W at a 1 MHz repetition rate), and all radiated energy is absorbed in the walls within 7 m along the straight section. |
| first_indexed | 2024-12-16T17:10:08Z |
| format | Article |
| id | doaj.art-4bfc841ba1064080b4a72600efe66ca3 |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-12-16T17:10:08Z |
| publishDate | 2016-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-4bfc841ba1064080b4a72600efe66ca32022-12-21T22:23:26ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882016-09-0119909070510.1103/PhysRevAccelBeams.19.090705Efficient computation of coherent synchrotron radiation in a rectangular chamberRobert L. WarnockDavid A. BizzozeroWe study coherent synchrotron radiation (CSR) in a perfectly conducting vacuum chamber of rectangular cross section, in a formalism allowing an arbitrary sequence of bends and straight sections. We apply the paraxial method in the frequency domain, with a Fourier development in the vertical coordinate but with no other mode expansions. A line charge source is handled numerically by a new method that rids the equations of singularities through a change of dependent variable. The resulting algorithm is fast compared to earlier methods, works for short bunches with complicated structure, and yields all six field components at any space-time point. As an example we compute the tangential magnetic field at the walls. From that one can make a perturbative treatment of the Poynting flux to estimate the energy deposited in resistive walls. The calculation was motivated by a design issue for LCLS-II, the question of how much wall heating from CSR occurs in the last bend of a bunch compressor and the following straight section. Working with a realistic longitudinal bunch form of r.m.s. length 10.4 μm and a charge of 100 pC we conclude that the radiated power is quite small (28 W at a 1 MHz repetition rate), and all radiated energy is absorbed in the walls within 7 m along the straight section.http://doi.org/10.1103/PhysRevAccelBeams.19.090705 |
| spellingShingle | Robert L. Warnock David A. Bizzozero Efficient computation of coherent synchrotron radiation in a rectangular chamber Physical Review Accelerators and Beams |
| title | Efficient computation of coherent synchrotron radiation in a rectangular chamber |
| title_full | Efficient computation of coherent synchrotron radiation in a rectangular chamber |
| title_fullStr | Efficient computation of coherent synchrotron radiation in a rectangular chamber |
| title_full_unstemmed | Efficient computation of coherent synchrotron radiation in a rectangular chamber |
| title_short | Efficient computation of coherent synchrotron radiation in a rectangular chamber |
| title_sort | efficient computation of coherent synchrotron radiation in a rectangular chamber |
| url | http://doi.org/10.1103/PhysRevAccelBeams.19.090705 |
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