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Edge turbulence effect on ultra-fast swept reflectometry core measurements in tokamak plasmas

G V Zadvitskiy, S Heuraux, C Lechte, S Hacquin, R Sabot2018年Plasma Physics and Controlled FusionIF 2.2出版社

Ultra-fast frequency-swept reflectometry (UFSR) enables one to provide information about the turbulence radial wave-number spectrum and perturbation amplitude with good spatial and temporal resolutions. However, a data interpretation of USFR is quiet tricky. An iterative algorithm to solve this inverse problem was used in past works, Gerbaud (2006 Rev. Sci. Instrum.77 10E928). For a direct solution, a fast 1D Helmholtz solver was used. Two-dimensional effects are strong and should be taken into account during data interpretation. As 2D full-wave codes are still too time consuming for systematic application, fast 2D approaches based on the Born approximation are of prime interest. Such methods gives good results in the case of small turbulence levels. However in tokamak plasmas, edge turbulence is usually very strong and can distort and broaden the probing beam Sysoeva et al (2015 Nucl. Fusion55 033016). It was shown that this can change reflectometer phase response from the plasma core. Comparison between 2D full wave computation and the simplified Born approximation was done. The approximated method can provide a right spectral shape, but it is unable to describe a change of the spectral amplitude with an edge turbulence level. Computation for the O-mode wave with the linear density profile in the slab geometry and for realistic Tore-Supra density profile, based on the experimental data turbulence amplitude and spectrum, were performed to investigate the role of strong edge turbulence. It is shown that the spectral peak in the signal amplitude variation spectrum which rises with edge turbulence can be a signature of strong edge turbulence. Moreover, computations for misaligned receiving and emitting antennas were performed. It was found that the signal amplitude variation peak changes its position with a receiving antenna poloidal displacement.

日本語訳

超高速周波数掃引反射測定法(UFSR)は、優れた空間分解能と時間分解能を備えつつ、乱流の動径波数スペクトルと摂動振幅に関する情報を提供することを可能にする。しかしながら、UFSRのデータ解釈は容易ではない。この逆問題を解くための反復アルゴリズムが過去の研究で用いられてきた(Gerbaud 2006 Rev. Sci. Instrum. 77 10E928)。直接解法としては、高速1次元ヘルムホルツソルバーが用いられた。2次元効果は強く、データ解釈の際に考慮に入れるべきである。2次元完全波動コードは系統的な適用には依然として計算時間がかかりすぎるため、ボルン近似に基づく高速2次元手法が最も重要である。そのような手法は、乱流レベルが小さい場合には良好な結果をもたらす。しかしながら、トカマクプラズマにおいては、周辺乱流は通常強く、探査ビームを歪め、広げる可能性がある(Sysoeva et al 2015 Nucl. Fusion 55 033016)。これにより、プラズマコアからの反射計位相応答が変化し得ることが示された。2次元完全波動計算と簡略化されたボルン近似との比較が行われた。近似手法はスペクトル形状を正しく提供できるが、周辺乱流レベルに伴うスペクトル振幅の変化を記述することはできない。実験データの乱流振幅とスペクトルに基づく、スラブ幾何学における線形密度分布および現実的なTore-Supra密度分布に対するOモード波の計算が、強い周辺乱流の役割を調査するために実施された。周辺乱流とともに増大する信号振幅変動スペクトルのスペクトルピークが、強い周辺乱流の兆候となり得ることが示された。さらに、ミスアライメントした受信アンテナと送信アンテナに対する計算が実施された。信号振幅変動ピークは、受信アンテナのポロイダル変位に応じてその位置が変化することが見出された。

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Fusion Advanced Studies TorusReflectometryEdge turbulence
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