A new algorithm of restoring the autocorrelation function of subwavelength statistic surface roughness by light scattering in integrated optical waveguide in the presence of a high additive stochastic noise

The theoretical problem of TE-mode scattering in the integrated planar optical waveguide (PWG) with 3D small statistical irregularities is considered. A new algorithm of definition of the correct approximate solution of the inverse light scattering problem permitting to restore the autocorrelation function of statistical irregularities of the integrated optical waveguide by the data obtained in the far zone in the presence of the high additive band-limited "white" noise (signal-to-noise ratio SNR ≥ 1) is described. This algorithm includes extrapolation of the power spectral density of irregularities beyond the range of the registering scattering wavenumbers and processing of the data by the classic regularization and quasi-optimal discrete filtration.