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Numerical computation of Thomson scattering spectra for non-Maxwellian or anisotropic electron distribution functions

I. Pastor, J. Guasp, R.F. Álvarez-Estrada, F. Castejón2012年被引用 3Nuclear FusionIF 3出版社

Monte Carlo techniques applied to Thomson scattering (TS) power spectrum computation have been extended so as to include non-Maxwellian and anisotropic electron distribution functions (EDFs). First, a simple model has been selected for the spatial (angular) anisotropy of electron velocities (uniformly distributed around an axis of angular symmetry on a cone of semiaperture θanis), while the energies are distributed according to a lower-hybrid-like model function. Spectra have been computed, and their dependence with the EDF model parameters has been given. The most noticeable changes in the spectrum with respect to the isotropic Maxwellian are the broadening and blue-shift of the spectrum due to suprathermal electrons, and the presence of satellite or additional maxima (that can be either red-shifted or blue-shifted with respect to the thermal Maxwellian maximum) coming from the anisotropy of the EDF. Also, extensive numerical computations have been carried out on angularly non-separable EDFs (meaning that the sampling of the distribution function cannot be done independently on angle and energy variables), like the relativistic bi-Maxwellian (with or without drift). The connection of these results with some recent TS measurements reported by Yamada et al (2010 Rev. Sci. Instrum.81 10D522) and more generally, with the possibility of detecting non-Maxwellian or anisotropic EDF features with TS, has been discussed.

日本語訳

モンテカルロ法をトムソン散乱(TS)パワースペクトル計算に拡張し、非マクスウェル型および異方性電子分布関数(EDF)を含むようにした。まず、電子速度の空間的(角度)異方性に対して単純なモデルを選択した(半頂角θanisの円錐対称軸の周りに一様分布)。一方、エネルギーは下ハイブリッド型モデル関数に従って分布する。スペクトルを計算し、EDFモデルパラメータへの依存性を示した。等方性マクスウェル分布と比較した場合のスペクトルの最も顕著な変化は、超熱電子によるブロードニングと青方偏移、およびEDFの異方性に起因する衛星ピーク(熱マクスウェルピークに対して赤方偏移または青方偏移のいずれか)の出現である。さらに、角度とエネルギー変数に関して分離不可能なEDF(例えば、ドリフトを伴うまたは伴わない相対論的バイマクスウェル分布)についても広範な数値計算を実施した。最後に、これらの結果と、Yamadaら(2010 Rev. Instrum. 81 10D522)による最近のTS測定結果との関連性、およびTSを用いた非マクスウェル型・異方性EDF特徴の検出可能性について、より一般的な観点から議論した。

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