Fluctuation reflectometry theory and the possibility of turbulence wave number spectrum reconstruction using the radial correlation reflectometry data

One-dimensional linear theory of radial correlation reflectometry (RCR) is developed. The dependence of scattering signal on the fluctuation wave number is carefully examined in the case of linear and arbitrary plasma density profiles. The behaviour of scattering efficiency is analysed and singularity saturation at a scale much lesser than the Airy scale is demonstrated. The expression for the RCR cross correlation function is derived and the possibility of turbulence wave number spectrum reconstruction based on the RCR data is shown.

日本語訳

1次元線形理論に基づく動径相関反射測定法（RCR）を展開する。線形および任意のプラズマ密度分布の場合について、散乱信号のゆらぎ波数依存性を詳細に調べる。散乱効率の挙動を解析し、エアリースケールよりもはるかに小さいスケールでの特異性の飽和を実証する。RCR相互相関関数の式を導出し、RCRデータに基づく乱流波数スペクトルの再構成の可能性を示す。