Generation of circular field harmonics in quasi-polygonal magnet apertures using superconducting canted-cosine-theta coils
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| Format: | Preprint |
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2024
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| _version_ | 1866916494276820992 |
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| author | Li, Jie Wang, Kedong Zhu, Kun |
| author_facet | Li, Jie Wang, Kedong Zhu, Kun |
| contents | Superconducting magnets with non-circular apertures are important for handling unconventional beam profiles and specialized accelerator applications. This paper presents an analytical framework for designing superconducting accelerator magnets with quasi-polygonal apertures, aimed at generating precise circular field harmonics. In Part 1, we explore the relationship between current distributions on quasi-polygonal formers and their corresponding magnetic field harmonics. By employing conformal mapping techniques, we establish a connection between the design of quasi-polygonal bore magnets and traditional circular bore configurations, facilitating the simplification of complex mathematical formulations. Part 2 applies the derived current distributions to the canted cosine theta (CCT) coil magnet concept, focusing on designing analytic winding schemes that generate single or mixed circular harmonics within quasi-polygonal apertures. This work not only advances the design of superconducting magnets but also broadens the scope of CCT technology to accommodate more complex geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16068 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generation of circular field harmonics in quasi-polygonal magnet apertures using superconducting canted-cosine-theta coils Li, Jie Wang, Kedong Zhu, Kun Accelerator Physics Superconducting magnets with non-circular apertures are important for handling unconventional beam profiles and specialized accelerator applications. This paper presents an analytical framework for designing superconducting accelerator magnets with quasi-polygonal apertures, aimed at generating precise circular field harmonics. In Part 1, we explore the relationship between current distributions on quasi-polygonal formers and their corresponding magnetic field harmonics. By employing conformal mapping techniques, we establish a connection between the design of quasi-polygonal bore magnets and traditional circular bore configurations, facilitating the simplification of complex mathematical formulations. Part 2 applies the derived current distributions to the canted cosine theta (CCT) coil magnet concept, focusing on designing analytic winding schemes that generate single or mixed circular harmonics within quasi-polygonal apertures. This work not only advances the design of superconducting magnets but also broadens the scope of CCT technology to accommodate more complex geometries. |
| title | Generation of circular field harmonics in quasi-polygonal magnet apertures using superconducting canted-cosine-theta coils |
| topic | Accelerator Physics |
| url | https://arxiv.org/abs/2411.16068 |