A theoretical investigation of the turbulent structures tilting measurements with radial correlation Doppler reflectometry

A new technique for measuring the tilting of the turbulent structures is studied analytically within the framework of the Born approximation. Probing with O-mode, linear density profile and slab geometry are considered. Analytical expressions are derived for the scattering signal and cross-correlation function of scattering signals at different probing frequencies. Comparison with previously available results is made, discrepancies pointed out and a more general expression for narrow probing beam is derived. General conclusions about the technique are made and a possible alternative is suggested. Analytical results are validated with linear numerical simulations employing reciprocity theorem, importance of poorly-localized small-angle scattering is confirmed.