Analytical and numerical studies of angular correlation function of waves scattered from randomly distributed cylinders

Abstract

The analytical solution for the angular correlation function of scattered waves from randomly distributed infinitely long cylinders is obtained using the second-order approximation with a modified attenuation coefficient. The approach is based on the coherent summation of the scattered waves which preserves the interference effects such as backscattering enhancement. The modification of the transport attenuation coefficient includes the contribution due to the incoherent wave. By comparing with the exact numerical simulations, we found that the correction factor is given by (1−μ¯) which also appears in the diffusion equation. The present approach gives good agreement with numerical and experimental results.