Spectral shifts generated by scattering of Gaussian Schell-model arrays beam from a deterministic medium

According to the theory of first-order Born approximation, analytical expressions for Gaussian Schell-model arrays (GSMA) beam scattered on a deterministic medium in the far-zone are derived. In terms of the analytical formula obtained, shifts of GSMA beam's scattered spectrum are numerically investigated. Results show that the scattering directions sx and sy, effective radius σ of the scattering medium, the initial beam transverse width σ0, correlation widths δx and δy of the source, and line width Γ0 of the incident spectrum closely influence the distributions of normalized scattered spectrum in the far-zone. These features of GSMA beam scattered spectrum could be used to obtain information about the structure of a deterministic medium.