Geodesic
Wave propagation in a randomly inhomogeneous medium with strongly developed fluctuations.
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 2, pp. 200-214 Cet article a éte moissonné depuis la source Math-Net.Ru

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The results obtained earlier [1, 2] for a scalar model are now applied to a real problem of wave propagation in uniaxial nematic. It is shown that the extinction coefficient $\sigma$ in the detumescence law $I\sim\exp(-\sigma r)$ of the intensity of the extraordinary mode because of infrared divergencies is logarithmically dependent upon the distance: $\sigma=m(a\ln(mr)+b)$ where $r$ is the ray path length in the medium, $m$ is the inverse wave length of the light. The dimensionless coefficients $a$ and $b$ depend upon the angle between the anisotropy direction and the ray vector and are calculated explicitely in terms of the asymptotics of the first self-energy diagram in the neighbourhood of the mass shell. The results are illustrated by calculations for three nematics, MBBA, BMOAB and H-106 at the neon-argon laser frequency. 
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     author = {L. Ts. Adzhemyan and A. N. Vasil'ev and Yu. M. Pis'mak},
     title = {Wave propagation in~a~randomly inhomogeneous medium with strongly developed fluctuations.},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {200--214},
     year = {1989},
     volume = {78},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_78_2_a3/}
}
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L. Ts. Adzhemyan; A. N. Vasil'ev; Yu. M. Pis'mak. Wave propagation in a randomly inhomogeneous medium with strongly developed fluctuations.. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 2, pp. 200-214. http://geodesic.mathdoc.fr/item/TMF_1989_78_2_a3/

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