Analysis of perturbed magnetic fields via construction of nearby integrable fields

S. R. Hudson*, R. L. Dewar

*Corresponding author for this work

    Research output: Contribution to journalConference articlepeer-review

    14 Citations (Scopus)


    For a given nonintegrable toroidal magnetic field, a nearby integrable magnetic field is constructed from quadratic-flux minimizing surfaces. A new mathematical definition and derivation of quadratic-flux minimizing surfaces, which directly exploits the analogy between toroidal magnetic fields and 1 1/2 degree of freedom Hamiltonian systems, is given. The width and phase of magnetic islands (calculated from the shear of the integrable field and the magnitude and phase of the perturbation harmonics) are in excellent agreement with detailed Poincaré plots.

    Original languageEnglish
    Pages (from-to)1532-1538
    Number of pages7
    JournalPhysics of Plasmas
    Issue number5 II
    Publication statusPublished - May 1999
    EventProceedings of the 1998 40th Annual Meeting of the Division of Plasma Physics of the American Physical Society - New Orleans, LA, United States
    Duration: 16 Nov 199820 Nov 1998


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