Restoration of the autocorrelation function of a statistic surface roughness on the light scattering in a planar optical waveguide in the presence of the additive stochastic noise

Guided mode scattering in an integrated planar optical waveguide with 3D small statistic irregularities was studied. The restoration of autocorrelation function of the substrate surface roughness from the far zone 2D scattering diagram in the presence of additive stochastic noise was demonstrated. A correct solution of the direct and inverse scattering problems was discussed using perturbation theory.