Within the accuracy of first-order Born approximation, the visibility of intensity correlated field is derived for two cases, i.e., the scalar and electromagnetic plane wave scattering from quasi-homogeneous (QH) media, respectively. Analytical results indicate that the visibility of intensity correlated field depends on the strength of scattering potential and the ratio D/R for the scalar case, where D is the radius of fiber-optic probe, and R is the distance between the scatterer and the fiber-optic probe. Comparably, for the electromagnetic case, the corresponding visibility relates with the strength of scattering potential, polarization of incident waves and the ratio D/R. Furthermore, numerical simulations are performed to investigate the influences of above parameters on the mean value of visibility. Numerical results further reveal that the strength of scattering potential of QH media may be determined by solutions of the inverse scattering problem provided that the visibility of intensity correlated field is obtained from experiments. The results may provide potential applications for the reconstruction and determination of unknown scatterer in optical coherence tomography and ghost imaging using the pseudo thermal light.