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Two-dimensional non-linear theory of radial correlation reflectometry

As a result of the two-dimensional consideration, a general analytic approach to the non-linear regime of fluctuation reflectometry allowing determination of its spectral and correlation characteristics in explicit form is developed. The expressions for average signal and cross-correlation function of radial correlation reflectometry valid for arbitrary plasma density profile, turbulence spatial distribution and wave number spectra are derived. The analytical predictions are compared to the results of one- and two-dimensional numerical modelling.