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To improve the measuring accuracy in two-step phase-shifting interferometry (PSI), a new approach combining the extreme value of interference (EVI) and the least-squares iterative algorithm (LSIA) is proposed to extract the phase from two-frame blind phase-shifting interferograms. This method first evaluates the phase shift between two interferograms by the EVI algorithm, and then constructs the fitted interferogram by the addition of two interferograms after filtering the corresponding background intensities, so the phase with high precision can be retrieved by combining two real interferograms and this fitted interferogram using the LSIA method. The proposed algorithm expands the flexibility of the LSIA method and has the high-precision performance compared with the existing algorithms in two-step PSI. Simulation and experiment are performed to verify the feasibility of the proposed algorithm.
Słowa kluczowe
Czasopismo
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Tom
Strony
513--527
Opis fizyczny
Bibliogr. 22 poz., rys.
Twórcy
autor
- Institute of Mold Technology, Changzhou Vocational Institute of Mechatronic Technology, Changzhou 213164, Jiangsu, China
autor
- Faculty of Science, Jiangsu University, Zhenjiang 212013, China
autor
- Faculty of Science, Jiangsu University, Zhenjiang 212013, China
autor
- Faculty of Science, Jiangsu University, Zhenjiang 212013, China
Bibliografia
- [1] YAMAGUCHI I., ZHANG T., Phase-shifting digital holography, Optics Letters 22(16), 1997, pp. 1268–1270, DOI: 10.1364/OL.22.001268.
- [2] MOSINO J.F., SERVIN M., ESTRADA J.C., QUIROGA J.A., Phasorial analysis of detuning error in temporal phase shifting algorithms, Optics Express 17(7), 2009, pp. 5618–5623, DOI: 10.1364/OE.17.005618.
- [3] DE GROOT P., DECK L., Surface profiling by analysis of white-light interferograms in the spatial frequency domain, Journal of Modern Optics 42(2), 1995, pp. 389–401, DOI: 10.1080/09500349514550341.
- [4] MENG X.F., CAI L.Z., XU X.F., YANG X.L., SHEN X.X., DONG G.Y., WANG Y.R., Two-step phase-shifting interferometry and its application in image encryption, Optics Letters 31(10), 2006, pp. 1414–1416, DOI: 10.1364/OL.31.001414.
- [5] XU X., WANG Y., XU Y., JIN W., Dual-wavelength in-line phase-shifting interferometry based on two dc-term-suppressed intensitieswith a special phase shift for quantitative phase extraction, Optics Letters 41(11), 2016, pp. 2430–2433, DOI: 10.1364/OL.41.002430.
- [6] KÜHN J., COLOMB T., MONTFORT F., CHARRIÈRE F., EMERY Y., CUCHE E., MARQUET P., DEPEURSINGE C., Real-time dual-wavelngth digital holographic microscopy with a single hologram acquisition, Optics Express 15(12), 2007, pp. 7231–7242, DOI: 10.1364/OE.15.007231.
- [7] XU X., WANG Y., JI Y., XU Y., XIE M., HAN H., A novel dual-wavelength iterative method for generalized dual-wavelength phase-shifting interferometry with second-order harmonics, Optics and Lasers in Engineering 106, 2018, pp. 39–46, DOI: 10.1016/j.optlaseng.2018.02.007.
- [8] ABDELSALAM D.G., KIM D., Two-wavelength in-line phase-shifting interferometry based on polarizing separation for accurate surface profiling, Applied Optics 50(33), 2011, pp. 6153–6161, DOI: 10.1364/AO.50.006153.
- [9] XU X., WANG Y., XU Y., JIN W., Simultaneous measurement of refractive index and thickness for optically transparent object with a dual-wavelength quantitative technique, Optica Applicata 46(4), 2016, pp. 597–605, DOI: 10.5277/oa160407.
- [10] CREATH K., V Phase-Measurement Interferometry Techniques, Progress in Optics 26, 1998, pp. 349–393, DOI: 10.1016/S0079-6638(08)70178-1.
- [11] HARIHARAN P., Phase-shifting interferometry: minimization of systematic errors, Optical Engineering 39(4), 2000, pp. 967–969, DOI: 10.1117/1.602443.
- [12] KEMAO Q., Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, applications and implementations, Optics and Lasers in Engineering 45(2), 2007, pp. 304–317, DOI: 10.1016/j.optlaseng.2005.10.012.
- [13] TIAN C., CHEN X., LIU S., Modal wavefront reconstruction in radial shearing interferometry with general aperture shapes, Optics Express 24(4), 2016, pp. 3572–3583, DOI: 10.1364/OE.24.003572.
- [14] KREIS T.M., JUEPTNER W.P.O., Fourier transform evaluation of interference patterns: demodulation and sign ambiguity, Proceedings of SPIE 1553, 1992, pp. 263–273, DOI: 10.1117/12.135312.
- [15] VARGAS J., QUIROGA J.A., SORZANO C.O.S., ESTRADA J.C., CARAZO J.M., Two-step interferometry by a regularized optical flow algorithm, Optics Letters 36(17), 2011, pp. 3485–3487, DOI: 10.1364/OL.36.003485.
- [16] VARGAS J., QUIROGA J.A., SORZANO C.O.S., ESTRADA J.C., CARAZO J.M., Two-step demodulation based on the Gram–Schmidt orthonormalization method, Optics Letters 37(3), 2012, pp. 443–445, DOI: 10.1364/OL.37.000443.
- [17] TRUSIAK M., PATORSKI K., Two-shot fringe pattern phase-amplitude demodulation using Gram-Schmidt orthonormalization with Hilbert-Huang pre-filtering, Optics Express 23(4), 2015, pp. 4672–4690, DOI: 10.1364/OE.23.004672.
- [18] TIAN C., LIU S., Two-frame phase-shifting interferometry for testing optical surfaces, Optics Express 24(16), 2016, pp. 18695–18708, DOI: 10.1364/OE.24.018695.
- [19] DENG J., WANG H., ZHANG F., ZHANG D., ZHONG L., LU X., Two-step phase demodulation algorithm based on the extreme value of interference, Optics Letters 37(22), 2012, pp. 4669–4671, DOI: 10.1364/OL.37.004669.
- [20] TIAN C., LIU S., Phase retrieval in two-shot phase-shifting interferometry based on phase shift estimation in a local mask, Optics Express 25(18), 2017, pp. 21673–21683, DOI: 10.1364/OE.25.021673.
- [21] WANG Z., HAN B., Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms, Optics Letters 29(14), 2004, pp. 1671–1673, DOI: 10.1364/OL.29.001671.
- [22] WANG Z., HAN B., Advanced iterative algorithm for randomly phase-shifted interferograms with intra- and inter-frame intensity variations, Optics and Lasers in Engineering 45(2), 2007, pp. 274–280, DOI: 10.1016/j.optlaseng.2005.11.003.
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Bibliografia
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