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arXiv · 2411.16068

Generation of circular field harmonics in quasi-polygonal magnet apertures using superconducting canted-cosine-theta coils

Jie Li·Kedong Wang·Kun Zhu
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Abstract

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.

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Jie Li, Kedong Wang, Kun Zhu. 2024-11-25. Generation of circular field harmonics in quasi-polygonal magnet apertures using superconducting canted-cosine-theta coils. https://arxiv.org/abs/2411.16068

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