Phase reconstruction for depth-resolved wavenumber-scanning interferometry under an environment with salt noise

Ziliang Lyu; Yulei Bai; Zhaoshui He; Shengli Xie; Shuangli Ye; Yanzhou Zhou

doi:10.1117/1.OE.56.11.111703

7 March 2017 Phase reconstruction for depth-resolved wavenumber-scanning interferometry under an environment with salt noise

Ziliang Lyu, Yulei Bai, Zhaoshui He, Shengli Xie, Shuangli Ye, Yanzhou Zhou

Author Affiliations +

Optical Engineering, Vol. 56, Issue 11, 111703 (March 2017). https://doi.org/10.1117/1.OE.56.11.111703

Abstract

Depth-resolved wavenumber-scanning interferometry (DRWSI) is used to measure the contours or displacement fields inside a structure. One of the most promising phase retrieving algorithms of DRWSI is the eigenvalue decomposition and least-squares algorithm, because it can blindly evaluate the number of interferometric sources with a fine depth resolution. However, it is not robust to noise, in particular, salt noise or impulse noise. In order to significantly improve the immunity of DRWSI to noise, an updated eigenvalue decomposition algorithm is developed in this manuscript by employing the Spearman’s rank (SR) correlation function as a kernel function. Extreme experimental conditions under an environment with salt noise are designed to verify the performance of the new algorithm in DRWSI, called eigenvalue decomposition using SR correlation and Fourier transform. The results show that it is very effective for the phase reconstruction of DRWSI.

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Ziliang Lyu, Yulei Bai, Zhaoshui He, Shengli Xie, Shuangli Ye, and Yanzhou Zhou "Phase reconstruction for depth-resolved wavenumber-scanning interferometry under an environment with salt noise," Optical Engineering 56(11), 111703 (7 March 2017). https://doi.org/10.1117/1.OE.56.11.111703

Received: 12 August 2016; Accepted: 11 January 2017; Published: 7 March 2017

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KEYWORDS

Interferometry

Fourier transforms

Correlation function

Interference (communication)

Algorithm development

Fringe analysis

Optical engineering

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