Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation
A new technique for the simulation of coherent synchrotron radiation (CSR) and space-charge fields from a single electron bunch in straight or toroidal rectangular waveguide sections has been developed. It is based on the integration of the paraxial approximation to the wave equations, using the per...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2007-05-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.10.054402 |
| _version_ | 1817988352727580672 |
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| author | D. R. Gillingham T. M. Antonsen, Jr. |
| author_facet | D. R. Gillingham T. M. Antonsen, Jr. |
| author_sort | D. R. Gillingham |
| collection | DOAJ |
| description | A new technique for the simulation of coherent synchrotron radiation (CSR) and space-charge fields from a single electron bunch in straight or toroidal rectangular waveguide sections has been developed. It is based on the integration of the paraxial approximation to the wave equations, using the perturbation technique where the bending radius is large compared to the dimension of the waveguide. We have implemented an unconditionally stable integration method in the time domain with transparent boundary conditions that allows the use of a minimally sized computational domain about the bunch. This technique explicitly enforces the causality condition so that no portion of the fields can propagate faster than the speed of light, can be used with arbitrary three-dimensional charge distributions, and contains corrections for finite energy. We have also developed a method for the calculation of the transverse forces within the bunch including space-charge. This method has been developed for incorporation with a particle-in-cell code so that we may self-consistently model CSR and space-charge in combinations of bending sections with a fully dynamic electron bunch in an efficient manner. In this paper we describe the model and methods for calculation of the fields in detail and compare results to theory wherever possible. |
| first_indexed | 2024-04-14T00:33:13Z |
| format | Article |
| id | doaj.art-900b88c81fa54439a1dca49b92b05380 |
| institution | Directory Open Access Journal |
| issn | 1098-4402 |
| language | English |
| last_indexed | 2024-04-14T00:33:13Z |
| publishDate | 2007-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Special Topics. Accelerators and Beams |
| spelling | doaj.art-900b88c81fa54439a1dca49b92b053802022-12-22T02:22:28ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022007-05-0110505440210.1103/PhysRevSTAB.10.054402Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equationD. R. GillinghamT. M. Antonsen, Jr.A new technique for the simulation of coherent synchrotron radiation (CSR) and space-charge fields from a single electron bunch in straight or toroidal rectangular waveguide sections has been developed. It is based on the integration of the paraxial approximation to the wave equations, using the perturbation technique where the bending radius is large compared to the dimension of the waveguide. We have implemented an unconditionally stable integration method in the time domain with transparent boundary conditions that allows the use of a minimally sized computational domain about the bunch. This technique explicitly enforces the causality condition so that no portion of the fields can propagate faster than the speed of light, can be used with arbitrary three-dimensional charge distributions, and contains corrections for finite energy. We have also developed a method for the calculation of the transverse forces within the bunch including space-charge. This method has been developed for incorporation with a particle-in-cell code so that we may self-consistently model CSR and space-charge in combinations of bending sections with a fully dynamic electron bunch in an efficient manner. In this paper we describe the model and methods for calculation of the fields in detail and compare results to theory wherever possible.http://doi.org/10.1103/PhysRevSTAB.10.054402 |
| spellingShingle | D. R. Gillingham T. M. Antonsen, Jr. Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation Physical Review Special Topics. Accelerators and Beams |
| title | Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation |
| title_full | Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation |
| title_fullStr | Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation |
| title_full_unstemmed | Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation |
| title_short | Calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation |
| title_sort | calculation of coherent synchrotron radiation in toroidal waveguides by paraxial wave equation |
| url | http://doi.org/10.1103/PhysRevSTAB.10.054402 |
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