Phase retrieval in digital speckle pattern interferometry using a chirped Gaussian wavelet transform and a smoothed time-frequency distribution

Alejandro Federico; Guillermo H. Kaufmann

doi:10.1117/12.516633

27 May 2003 Phase retrieval in digital speckle pattern interferometry using a chirped Gaussian wavelet transform and a smoothed time-frequency distribution

Alejandro Federico, Guillermo H. Kaufmann

Author Affiliations +

Proceedings Volume 4933, Speckle Metrology 2003; (2003) https://doi.org/10.1117/12.516633
Event: Speckle Metrology 2003, 2003, Trondheim, Norway

Abstract

In this paper we analyze the application of a chirped Gaussian wavelet transform to retrieve the phase distribution in digital speckle pattern interferometry (DSPI). The performance of this method is evaluated using computer-simulated fringes, approach that allows an accurate determination of the phase map encoded by the fringe pattern. It is shown that the local chirp-based approximation does not give good results in the neighborhood of stationary phase points. To overcome this limitation, we compare the wavelet analysis by applying a smoothed time-frequency distribution. We show that the application of this distribution allows the determination of the phase map where the local chirp-based approximation fails. We also discuss the influence of the filtering process to smooth the DSPI fringes and some additional limitations that emerge when these methods are applied.

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Alejandro Federico and Guillermo H. Kaufmann "Phase retrieval in digital speckle pattern interferometry using a chirped Gaussian wavelet transform and a smoothed time-frequency distribution", Proc. SPIE 4933, Speckle Metrology 2003, (27 May 2003); https://doi.org/10.1117/12.516633

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