An analytical theory of pulse wave propagation in turbulent media

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Abstract
The theory of pulse wave propagation in turbulent media is developed starting from the space–time transport equation with the forward‐scattering approximation. The solutions are obtained by a fully analytical method based on the eigenfunction expansion, and the averaged intensity of plane wave pulse is presented by two different expressions for both the Gaussian and Kolmogorov turbulence spectra. These two expressions are given in the series, and the convergence of each series is good when the convergence of the other series is poor; in the case of the Gaussian turbulence spectrum, one of these expressions precisely agrees with the previous one obtained by Sreenivasiah et al. (1976). In connection with the pulse wave width, the pulse moments are evaluated in detail. The resolvent function is fully used to find the eigenvalues and eigenfunctions.