Dynamic nonlinear analysis of stochastic interference fields

摘要

Stochastic interference fields are obtained when measuring light wave interacts with a partially scattering surface has to be investigated. The resulting interference fringe pattern can be evaluated optimally on the basis of the stochastic filtering approach. Discrete Kalman filtering procedure was applied to 2D fringe pattern evaluation. It was developed the first order nonlinear 2D Kalman filtering method to estimate the phase and fringe frequency of stochastic interference fields. Discrete nonlinear Kalman filtering method generally provides the optimal fringe pattern estimates. The accuracy and noise-immunity of 2D nonlinear stochastic Kalman filtering were verified. Developed recurrence processing procedure was realized experimentally with application to 2D noisy fringe pattern analysis.