Evaluation of interference fringes and 2-D fringe patterns by recurrence processing algorithms

摘要

The possibility to describe interference fringes by stochastic differential equations is demonstrated. Evaluation of interference fringes is based on the idea to define the interference fringe intensity variation as a nonlinear transform of supposed dynamic system evolution, where the system parameters like fringe amplitude, frequency and phase are described by the discrete stochastic differential equations. It allows realizing the optimal recurrence prediction-correction algorithms for dynamic fringe processing, in which fringe signal is predicted to a following discretization step using full information available before this step, and fringe signal prediction error is used for step-by-step dynamic correcting the fringe parameters. This approach has been applied to low-coherence interference fringe processing and 2-D fringe pattern analysis with the 2-D prediction procedure that increases the noise-immunity and data processing speed of fringe evaluation in non-destructive optical testing and material science.