Analysis of perturbed magnetic fields via construction of nearby integrable fields

S. R. Hudson; R. L. Dewar

doi:10.1063/1.873406

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 journal › Conference article › peer-review

14 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1532-1538
Number of pages	7
Journal	Physics of Plasmas
Volume	6
Issue number	5 II
DOIs	https://doi.org/10.1063/1.873406
Publication status	Published - May 1999
Event	Proceedings 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 1998 → 20 Nov 1998

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abstract = "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 Poincar{\'e} plots.",

author = "Hudson, {S. R.} and Dewar, {R. L.}",

year = "1999",

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AU - Dewar, R. L.

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AB - 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.

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DO - 10.1063/1.873406

M3 - Conference article

SN - 1070-664X

VL - 6

SP - 1532

EP - 1538

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IS - 5 II

T2 - Proceedings of the 1998 40th Annual Meeting of the Division of Plasma Physics of the American Physical Society

Y2 - 16 November 1998 through 20 November 1998

ER -

Analysis of perturbed magnetic fields via construction of nearby integrable fields

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