Compressed-sensing wavenumber-scanning interferometry. (1st January 2018)

• Record Type: Journal Article
• Authors: Bai, Yulei; Zhou, Yanzhou; He, Zhaoshui; Ye, Shuangli; Dong, Bo; Xie, Shengli
• Is Part Of: Optics & laser technology. Volume 98(2018)
• Page Start: 229
• Page End: 233
• Publication Date: 2018-01-01
• Subjects: Interferometry -- Fringe analysis -- Transform -- Compressed-sensing; Optics -- Periodicals; Lasers -- Periodicals; Electronic journals; 621.366
• DOI: 10.1016/j.optlastec.2017.08.003
• Languages: English
• ISSNs: 0030-3992

Abstract

Highlights: A compressed sensing theory is proposed to evaluate DRWSI data. The method performs well when laser's output scans nonlinearly and with mode-hop. The method refines the depth resolution and phase measurement accuracy. The method does not require prior knowledge of the measured object. Abstract: The Fourier transform (FT), the nonlinear least-squares algorithm (NLSA), and eigenvalue decomposition algorithm (EDA) are used to evaluate the phase field in depth-resolved wavenumber-scanning interferometry (DRWSI). However, because the wavenumber series of the laser's output is usually accompanied by nonlinearity and mode-hop, FT, NLSA, and EDA, which are only suitable for equidistant interference data, often lead to non-negligible phase errors. In this work, a compressed-sensing method for DRWSI (CS-DRWSI) is proposed to resolve this problem. By using the randomly spaced inverse Fourier matrix and solving the underdetermined equation in the wavenumber domain, CS-DRWSI determines the nonuniform sampling and spectral leakage of the interference spectrum. Furthermore, it can evaluate interference data without prior knowledge of the object. The experimental results show that CS-DRWSI improves the depth resolution and suppresses sidelobes. It can replace the FT as a standard algorithm for DRWSI.