Dynamic nonlinear analysis of stochastic interference fields

Igor P. Gurov; Alexey Zakharov

doi:10.1117/12.475939

24 July 2002 Dynamic nonlinear analysis of stochastic interference fields

Igor P. Gurov, Alexey Zakharov

Author Affiliations +

Proceedings Volume 4751, ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems; (2002) https://doi.org/10.1117/12.475939
Event: XVII International Conference on Coherent and Nonlinear Optics (ICONO 2001), 2001, Minsk, Belarus

Abstract

Stochastic interference fields are obtained when measuring light wave interacts with a partially scattering surface has to be investigated. The resulting interference fringe pattern ca 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.

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Igor P. Gurov and Alexey Zakharov "Dynamic nonlinear analysis of stochastic interference fields", Proc. SPIE 4751, ICONO 2001: Nonlinear Optical Phenomena and Nonlinear Dynamics of Optical Systems, (24 July 2002); https://doi.org/10.1117/12.475939

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