Analysis of spectral modulated interferograms by recurrence nonlinear filtering method

Igor P. Gurov; Petr Hlubina

doi:10.1117/12.417748

2 March 2001 Analysis of spectral modulated interferograms by recurrence nonlinear filtering method

Igor P. Gurov, Petr Hlubina

Proceedings Volume 4353, Laser Optics 2000: Control of Laser Beam Characteristics and Nonlinear Methods for Wavefront Control; (2001) https://doi.org/10.1117/12.417748
Event: Laser Optics 2000, 2000, St. Petersburg, Russian Federation

Abstract

Interferometric radar technique is an important tool for a surface topography reconstruction of optically rough surfaces. Spectral interferometric radar is based on optical interference phenomenon that is observed in the form of the periodical modulation of broadband spectrum at the output of interferometer. Group optical path difference of interfering light waves corresponding to the distance from the surface to be measured is characterized by the phase function or fringe frequency of the spectral modulated interferogram. To measure fringe frequency a noise-immune recurrence non-linear filtering method was used where interferometric data are assumed to be a series of samples of the spectral interferometric signal defined by a known model. It is predicted the signal value from previous step of discretization to the next step. The prediction error is used for signal parameters correction. Recurrence non-linear filtering generally gives the optimal dynamic estimate of the phase function, frequency and visibility maximum position of the interferogram. Method was verified experimentally with application to the analysis of the spectral modulated interferograms inherent to Michelson interferometer excited by low-coherent source with a subsequent spectrometer.

Citation Download Citation

Igor P. Gurov and Petr Hlubina "Analysis of spectral modulated interferograms by recurrence nonlinear filtering method", Proc. SPIE 4353, Laser Optics 2000: Control of Laser Beam Characteristics and Nonlinear Methods for Wavefront Control, (2 March 2001); https://doi.org/10.1117/12.417748

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