Doklady Mathematics.
Vol. 68.
2003.
P. 177-181
An approximate correct solution of the inverse problem of light scattering in a planar waveguide with small statistical irregularities is obtained. The latter is reduced to determination of the autocorrelation function of irregularities on the far zone scattering data. The solution in this case is found with the help of Tikhonov's regularization method and quasi-optimal filtering.