Abstract: The structure constant of humidity fluctuations is an important statistical characteristic of the turbulent atmosphere. We propose a new method for the remote sensing of this structure constant using bistatic acoustic sounding. First of all, the new approximate equation for a sound wave in a turbulent medium with random inhomogeneities of the adiabatic sound speed, density and medium velocity is presented. This equation has a wider range of applicability than equations used before in the theory of sound propagation in turbulent media. Starting from this equation, the sound scattering cross-section $sigma in the turbulent atmosphere is calculated. From the obtained equation it follows that at the scattering angle $theta $EQ 90$DGR the sound wave is scattered only by humidity fluctuations. Therefore, measuring the scattering cross-section $sigma@(90$DGR@) by bistatic acoustic sounding we can obtain the structure constant of humidity fluctuations in the atmosphere. Some problems of practical realization of the proposed method are considered. !11
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