Application of forward scattering renormalization to scattering in turbid media

The conventional wave-integral equation in electromagnetic scattering, consisting of a sum of directly-received vacuum field plus a scattered field that sums weighted vacuum spherical waves from each scatterer, is replaced by one in which renormalized fields containing part of the multiply-scattered energy replace the vacuum fields. A first-order approximation in the renormalization equation is applied to bistatic (large-angle) scattering from weak random fluctuations of the permittivity in a distant volume, and to a sparse monodisperse distribution of isotropic particles to yield scattering cross sections with extended validity for the direct polarization. A similar correction is introduced for the cross polarization in the case of backscatter. Differences with other calculations are noted.