Backscattering from Anisotropic Random Media

The cross section for backscattering from an anisotropic random dielectric medium is computed for the case where the wavelength is much smaller than the outer scale length of the medium and where the path length through the medium can be many times the mean free path for small-angle forward scattering. The cross section as a function of K sub i and K sub f, the initial and final wavevectors, is obtained by an extension of the cumulative forward-scatter single-backscatter calculation of DeWolf. The cross section for the general case is computed by expanding the general expression for the cross section in terms of path dependent correlation functions using Kubo's cumulant expansion method. Evaluation of the resulting Fourier transform is achieved by a functional Taylor Series expansion in terms of multiple convolutions of the projected correlation functions. Numerical results are obtained for the case of a Gaussian correlation function and a method is presented for calculating the cross section for the Kolmogoroff spectrum. (Author)