Geodesic
Wave scattering in~a~randomly inhomogeneous medium with long-range noise correlation function $\sim1/r$
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 250-261

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A simplified scalar model of the propagation of light in liquid crystals is considered: a monochromatic plane wave propagating normally to the boundary in a half-space filled with a randomly inhomogeneous medium with a long-range homogeneous isotropic noise correlation function $D(r)\sim1/r$ (Goldstone fluctuations). In the eikonal approximation, which is valid for small scattering angles $\theta$ and not too large depth $z$ of penetration into the medium, the ray intensity $I_p(z,\theta)$ of the scattered light is calculated. The results make it possible to explain why intense spreading of a laser beam in nematics is observed experimentally for the extraordinary mode only at distances several times greater than the damping length of the coherent component. 
@article{TMF_1990_84_2_a8,
     author = {L. Ts. Adzhemyan and A. N. Vasil'ev and M. M. Perekalin and Kh. Yu. Reittu},
     title = {Wave scattering in~a~randomly inhomogeneous medium with long-range noise correlation function $\sim1/r$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {250--261},
     publisher = {mathdoc},
     volume = {84},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a8/}
}
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L. Ts. Adzhemyan; A. N. Vasil'ev; M. M. Perekalin; Kh. Yu. Reittu. Wave scattering in~a~randomly inhomogeneous medium with long-range noise correlation function $\sim1/r$. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 250-261. http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a8/