Propagation of acoustic waves in randomly inhomogeneous media

Propagation of acoustic waves in turbulent media has been studied within the approximation of optical geometry. The standard deviation (sigma) R of fluctuations in the horizontal shift of a wave ray relative to the observation point has been estimated in dependence on the distance ro between the source of a wave and the point of observation, the angle $qq of the ray emission by the source, the mean square fluctuations in the acoustic refractive index of turbulent medium and on the autocorrelation function of refractive index fluctuations. The calculations have been performed for the Gaussian correlation function, the simple exponential one and the von Karman correlation function. It has been stated that in the case of simple exponential correlation function (sigma) R is larger than for the Gaussian one if ro/l >= 4. In the case of von Karman medium inhomogeneities correlation function, values of (sigma) R increase with increasing in values of parameter v of the von Karman function.