Sensitivity of the magnetic axis to variations in the magnetic field

Hudson, S. R.; Guinchard, S.; Sengupta, W.

doi:10.1063/5.0241455

Title: Sensitivity of the magnetic axis to variations in the magnetic field

Journal Article · 23 January 2025 · Physics of Plasmas

DOI: https://doi.org/10.1063/5.0241455 · OSTI ID:2506913

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Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Ecole Polytechnique Federale Lausanne (EPFL) (Switzerland). Swiss Plasma Center
Princeton Univ., NJ (United States)

Lagrangian variational principles are used to locate the magnetic axis and to determine its sensitivity to variations in the magnetic field. Only the change in the magnetic field on axis is required to determine, to lowest order, the location of the new magnetic axis. Using a simple example, namely, the magnetic field produced by a set of current-carrying filaments (a.k.a. coils), the variation in the coil geometry that induces the largest change in the magnetic axis is determined using singular value decomposition.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 2506913

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 32; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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