Research On Measurement Of Wind Profile Using The Cross-correlation Of Waves Propagating Through Turbulence

In this article,we first introduced the Rytov approximation,from which we derived the commonly used second-order statistical moment in atmospheric measurement,and Taylor's frozen-flow hypothesis which is the important theoretical basis for wind inversion has also been introduced.Then on the basis of the DCIM radar,a theoretical model which is used to obtain horizontal transverse wind profile and turbulence intensity profile has been set up.According to Rytov approximation and Taylor's frozen-flow hypothesis,the theoretical formula of this theoretical model has been deduced,and we derived the cross-correlation function of G-tilt on the horizontal direction in which we take forward scattering lights at different distances as beacons.On the basis of such function,we came up with some basic methods in our inversion,and the two weight functions are analyzed.Based on the method and analysis above,we proposed an algorithm which combined matrix transformation with numerical approximation,and this algorithm is used for the inversion of transverse wind profile and turbulence intensity profile on the horizontal direction.Numerical simulation was done under different turbulence and wind conditions to verify our algorithm,and we also analyzed the possible problems in the actual measurement in our simulation,including temporal resolution and spatial resolution,measurement errors or noise.In addition,the influence of the blind zone in our measurement and the vertical inversion which is more remarkable are discussed in this article.In conclusion,when blind zone is small,for horizontal inversion,our method can obtain turbulence and wind profile under different turbulence intensity profile and wind profile conditions.Therefore,a new idea is provided for measuring atmospheric turbulence and wind.