[1] KAFRI O. Noncoherent method for mapping phase objects[J]. Optics Letters, 5, 555-557(1980).

[2] KEREN E, BAR-ZIV E, GLATT I, et al. Measurements of temperature distribution of flames by moiré deflectometry[J]. Applied Optics, 20, 4263-4266(1981).

[3] STRICKER J, KAFRI O. A new method for density gradient measurements in compressible flows[J]. American Institute of Aeronautics and Astronautics, 20, 820-823(1982).

[4] KARNY Z, KAFRI O. Refractive-index measurements by moiré deflectometry[J]. Applied Optics, 21, 3326-3328(1982).

[5] STRICKER J. Analysis of 3-D phase objects by moiré deflectometry[J]. Applied Optics, 23, 3657-3659(1984).

[6] KEREN E, KAFRI O. Diffraction effects in moiré deflectometry[J]. Journal of the Optical Society of America A, 2, 111-120(1985).

[7] SONG Yang, CHEN Yunyun, HE Anzhi, et al. Theoretical analysis for moiré deflectometry from diffraction theory[J]. Journal of the Optical Society of America A, 26, 882-889(2009).

[8] YEGANEH M, RASOULI S. Moiré fringes of higher-order harmonics versus higher-order moiré patterns[J]. Applied Optics, 57, 9777-9788(2018).

[9] SERVIN M, RODRIGUEZ-VERA R, CARPIO M. ,et al. Automatic fringe detection algorithm used for moiré deflectometry[J]. Applied Optics, 29, 3266-3270(1990).

[10] CANABAL H, QUIROGA J A, BERNABEU E. Automatic processing in moiré deflectometry by local fringe direction calculation[J]. Applied Optics, 37, 5894-5901(1998).

[11] QUIROGA J A, CRESPO D, BERNABEU E. Fourier transform method for automatic processing of moiré deflectograms[J]. Optical Engineering, 38, 974-982(1999).

[12] WANG Ming. Fourier transform moiré tomography for high-sensitivity mapping asymmetric 3-D temperature field[J]. Optics & Laser Technology, 34, 679-685(2002).

[13] QUAN Chenggen, TAY Chojui, YANG Fujun, et al. Phase extraction from a single fringe pattern based on guidance of an extreme map[J]. Applied Optics, 44, 4814-4821(2005).

[14] SONG Yang, CHEN Yunyun, WANG Jia, et al. Four-step spatial cphase-shifting shearing interferometry from moiré conpuration by triple gratings[J]. Optics Letters, 37, 1922-1924(2012).

[15] GUO Zhenyan, SONG Yang, WANG Jia, et al. Theoretical analysis and experimental verification of six-step spatial phase-shifting shearing interferometry by double gratings[J]. Journal of the Optical Society of America A, 30, 1535-1543(2013).

[16] QUIROGA J A, GONZÁLEZ-CANO A, BERNABEU E. Phase unwrapping algorithm based on adaptive criterion[J]. Applied Optics, 34, 2560-2563(1995).

[17] MAJLES ARA M H, MOUSAVI S H, SALMANI S, et al. Measurement of nonlinear refraction of dyes doped liquid crystal using moiré deflectometry[J]. Journal of Molecular Liquids, 140, 21-24(2008).

[18] SONG Yang, ZHANG Bin, HE Anzhi. Filtered back-projection algorithm and error analysis of deflection tomography[J]. Acta Optica Sinica, 26, 1657-1665(2006).

[19] SONG Yang, ZHANG Bin, HE Anzhi. Algebraic iterative algorithm for deflection tomography and its application to density flow fields in a hypersonic wind tunnel[J]. Applied Optics, 45, 8092-8101(2006).

[20] FARIS G W, BERGSTROM H. Two-wavelength beam deflection technique for electron density measurements in laser-produced plasmas[J]. Applied Optics, 30, 2212-2218(1991).

[21] FARIS G, BRINKMAN E, JEFFRIES J. Density measurements in a DC arcjet using scanned beam deflection tomography[J]. Optics Express, 7, 447-460(2000).

[22] CHEN Yunyun, SONG Yang, GU Fang, et al. High temperature flow field's electron number density measurement by two-wavelength moiré tomography[J]. Optics Letters, 41, 1640-1643(2016).

[23] LOHMANN A W, SILVA D E. An interferometer based on the Talbot effect[J]. Optics Communications, 2, 413-415(1971).

[24] SILVA D E. Talbot Interferometer for radial and lateral derivatives[J]. Applied Optics, 11, 2613-2624(1972).

[25] SHAKHER C, NIRALA A K. A review on refractive index and temperature profile measurements using laser-based interferometric techniques[J]. Optics and Lasers in Engineering, 31, 455-491(1999).

[26] AGARWAL S, KUMAR M, SHAKHER C. Experimental investigation of the effect of magnetic field on temperature and temperature profile of diffusion flame using circular grating Talbot interferometer[J]. Optics and Lasers in Engineering, 68, 214-221(2015).

[27] MEIDANSHAHI F S, MADANIPOUR K, SHOKRI B. Measurement of temperature and electrons density distribution of atmospheric arc plasma by moire´ deflectometry technique[J]. Optics and Lasers in Engineering, 51, 382-387(2013).

[28] ZHANG Xuedian, CHANG Min, HOU Yinglong. A two crossed Ronchi-gratings quantitative model of Moiré fringe pattern[J]. Optics Communications, 344, 27-32(2015).

[29] WANG Jia, GUO Zhenyan, SONG Yang, et al. Volume moiré tomography based on projection extraction by spatial phase shifting of double crossed gratings[J]. Optics Communications, 407, 311-320(2018).

[30] HASSANI K, NAHAL A, TIRANDAZI N. Surface profilometry using the incoherent self-imaging technique in reflection mode[J]. Journal of Applied Physics, 123, 035302(2018).

[31] [31] SONG Yang. Reconstruction theies algithms on Moiré tomography f phase fields[D]. Nanjing: Nanjing University of Science Technology, 2006: 56.

[32] SONG Yang, CHEN Yunyun, HE Anzhi, . Moiré tomography based on phase reconstruction[J]. Acta Optica Sinica, 29, 1232-1239(2009).

[33] CHEN Yunyun, SUO Jiaqi, DUAN Chuansen, et al. Discussion the effect of non-collimated light path on moiré deflectometry based on diffraction theory[J]. Optics and Lasers in Engineering, 144, 106643(2021).