Abstract: This talk is concerned with an inverse random source scattering problem for the one-dimensional stochastic Helmholtz equation in a slab of inhomogeneous medium, where the source function is driven by the Wiener process. Since the source and hence the radiating field are stochastic, the inverse problem is to reconstruct the statistical structure, such as the mean and the variance, of the source function from the measured random field on the boundary point. Based on the constructed solution for the direct problem, integral equations are derived to reconstruct the mean and the variance of the source function. Numerical experiments will be presented to demonstrate the validity and effectiveness of the proposed method.