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

Abstract

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.