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Visible light tomography of MHD eigenmodes in the H-1NF stellarator using magnetic coordinates

S.R. Haskey, B.D. Blackwell, B. Seiwald, J. Howard2014年被引用 6Nuclear FusionIF 3出版社

A tomographic reconstruction technique is described for the inversion of a set of limited-angle high-resolution 2D visible light emission projections of global MHD eigenmodes in the H-1NF heliac. The technique is well suited to limited viewing access in toroidal devices and the strong shaping of optimized stellarator/heliotron configurations. Fluctuations are represented as a finite sum of Fourier modes characterized by toroidal and poloidal mode numbers having fixed amplitude and phase in a set of nested flux volumes in Boozer coordinates (Boozer 1980 Phys. Fluids23 904–8). Iterative tomographic inversion techniques and standard linear least-squares methods are used to solve for the complex amplitudes. The method is applied to synchronous camera images of singly charged carbon impurity ion emission at 514 nm obtained at three discrete poloidal viewing orientations (Haskey et al 2014 Rev. Sci. Instrum.85 033505). The 2D amplitude and phase projections provide high quality reconstructions of the radial structure of the fluctuations that are compact in Boozer space and allow clear determination of the poloidal mode number as well as some degree of toroidal mode number differentiation.

日本語訳

トモグラフィー再構成法は、H-1NFヘリアックにおけるグローバルMHD固有モードの限られた角度の高分解能2次元可視光発光投影の集合の逆変換について記述している。この手法は、トロイダル装置における限られた視野と、最適化されたステラレーター/ヘリアック配位の強い shaping に適している。ゆらぎは、ブーザー座標における一連の入れ子状の磁気面内で、固定された振幅と位相を持つトロイダルモード数およびポロイダルモード数によって特徴づけられるフーリエモードの有限和として表現される。反復トモグラフィー逆変換法と標準的な線形最小二乗法を用いて複素振幅を求める。この手法は、3つの離散的なポロイダル視野方向で取得された、1価炭素不純物イオン発光(波長 514 nm)の同期カメラ画像に適用される。2次元の振幅および位相投影により、ブーザー空間でコンパクトなゆらぎの径方向構造の高品質な再構成が得られ、ポロイダルモード数の明確な決定と、ある程度のトロイダルモード数の識別が可能となる。

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MagnetohydrodynamicsStellarator
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