Producing circular field harmonics inside elliptic magnet apertures with superconducting canted-cosine-theta coils

Brouwer, L.

doi:10.1103/physrevaccelbeams.27.022402

Title: Producing circular field harmonics inside elliptic magnet apertures with superconducting canted-cosine-theta coils

Journal Article · 27 February 2024 · Physical Review Accelerators and Beams

DOI: https://doi.org/10.1103/physrevaccelbeams.27.022402 · OSTI ID:2315051

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Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Superconducting magnets with noncircular aperture are desired for accelerators and many other high-field applications. This paper presents new methods for the analytic design of elliptic bore superconducting accelerator magnets. Part 1 of this work shares the derivation of current to field relations between a sheet current density on an elliptic cylinder and the magnetic field harmonics inside the aperture. This result is explored in the general context of elliptic bore magnet design with relevant scaling laws compared between elliptic and circular bore magnets. In part 2, this approach is applied to the specific geometry of canted-cosine-theta (CCT) accelerator magnets, enabling analytic winding design for single or mixed circular harmonics within elliptic aperture CCT magnets.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2315051

Alternate ID(s):: OSTI ID: 2429237

Journal Information:: Physical Review Accelerators and Beams, Vol. 27, Issue 2; ISSN 2469-9888

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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