Bounds on geometric wakefields in collimators and step transitions of arbitrary cross sections
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916181028372480 |
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| author | Shaposhnikov, L. A. Baturin, S. S. |
| author_facet | Shaposhnikov, L. A. Baturin, S. S. |
| contents | We present the wakefield conformal mapping technique that can be readily applied to the analysis of the radiation generated by an ultra-relativistic particle in the step transition and a collimator. We derive simple analytical expressions for the lower and upper bounds of both longitudinal and transverse wake potentials. We test the derived expressions against well-known formulas in several representative examples. The proposed method can greatly simplify the optimization of collimating sections, as well as become a useful tool in the shape optimization problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_01235 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bounds on geometric wakefields in collimators and step transitions of arbitrary cross sections Shaposhnikov, L. A. Baturin, S. S. Accelerator Physics Classical Physics Plasma Physics We present the wakefield conformal mapping technique that can be readily applied to the analysis of the radiation generated by an ultra-relativistic particle in the step transition and a collimator. We derive simple analytical expressions for the lower and upper bounds of both longitudinal and transverse wake potentials. We test the derived expressions against well-known formulas in several representative examples. The proposed method can greatly simplify the optimization of collimating sections, as well as become a useful tool in the shape optimization problems. |
| title | Bounds on geometric wakefields in collimators and step transitions of arbitrary cross sections |
| topic | Accelerator Physics Classical Physics Plasma Physics |
| url | https://arxiv.org/abs/2308.01235 |