Acknowledgement
Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education (NRF-2021R1A2C1008661).
References
- H. P. Stahl, "Review of phase-measuring interferometry," Proc. SPIE 1332, 704-719 (1991). https://doi.org/10.1117/12.51121
- S. Yang and G. Zhang, "A review of interferometry for geometric measurement," Meas. Sci. Technol. 29, 102001 (2018).
- J. M. Schmitt, "Optical coherence tomography (OCT): A review," IEEE J. Sel. Top. Quantum Electron. 5, 1205-1215 (1999). https://doi.org/10.1109/2944.796348
- N. Bobroff, "Recent advances in displacement measuring interferometry," Meas. Sci. Technol. 4, 907 (1993).
- Y. Wang, F. Xie, S. Ma, and L. Dong, "Review of surface profile measurement techniques based on optical interferometry," Opt. Lasers Eng. 93, 164-170 (2017). https://doi.org/10.1016/j.optlaseng.2017.02.004
- S.-W. Kim and G.-H. Kim, "Thickness-profile measurement of transparent thin-film layers by white-light scanning interferometry," Appl. Opt. 38, 5968-5973 (1999). https://doi.org/10.1364/AO.38.005968
- R. M. Neal and J. C. Wyant, "Polarization phase-shifting point-diffraction interferometer," Appl. Opt. 45, 3463-3476 (2006). https://doi.org/10.1364/AO.45.003463
- L. Huang, H. Choi, W. Zhao, L. R. Graves, and D. W. Kim, "Adaptive interferometric null testing for unknown freeform optics metrology," Opt. Lett. 41, 5539-5542 (2016). https://doi.org/10.1364/OL.41.005539
- D. Francis, R. Tatam, and R. Groves, "Shearography technology and applications: A review," Meas. Sci. Technol. 21, 102001 (2010).
- T. Witting, F. Frank, C. A. Arrell, W. A. Okell, J. P. Marangos, and J. W. Tisch, "Characterization of high-intensity sub-4-fs laser pulses using spatially encoded spectral shearing interferometry," Opt. Lett. 36, 1680-1682 (2011). https://doi.org/10.1364/OL.36.001680
- S. Couris, M. Renard, O. Faucher, B. Lavorel, R. Chaux, E. Koudoumas, and X. Michaut, "An experimental investigation of the nonlinear refractive index (n2) of carbon disulfide and toluene by spectral shearing interferometry and z-scan techniques," Chem. Phys. Lett. 369, 318-324 (2003). https://doi.org/10.1016/S0009-2614(02)02021-3
- D. Guo and M. Wang, "Self-mixing interferometry based on a double-modulation technique for absolute distance measurement," Appl. Opt. 46, 1486-1491 (2007). https://doi.org/10.1364/AO.46.001486
- M. Norgia, G. Giuliani, and S. Donati, "Absolute distance measurement with improved accuracy using laser diode self-mixing interferometry in a closed loop," IEEE Trans. Instrum. Meas. 56, 1894-1900 (2007). https://doi.org/10.1109/TIM.2007.904551
- R. Gonzalez-Romero, M. Strojnik, and G. Garcia-Torales, "Theory of a rotationally shearing interferometer," J. Opt. Soc. Am. A 38, 264-270 (2021). https://doi.org/10.1364/JOSAA.406186
- P. Hariharan and D. Sen, "Radial shearing interferometer," J. Sci. Instrum. 38, 428 (1961).
- M. P. Rimmer and J. C. Wyant, "Evaluation of large aberrations using a lateral-shear interferometer having variable shear," Appl. Opt. 14, 142-150 (1975). https://doi.org/10.1364/AO.14.000142
- M. Strojnik and B. Bravo-Medina, "Rotationally shearing interferometer for extra-solar planet detection: Preliminary results with a solar system simulator," Opt. Express 28, 29553-29561 (2020). https://doi.org/10.1364/OE.398649
- M. Strojnik, "Rotational shearing interferometer in detection of the Super-Earth exoplanets," Appl. Sci. 12, 2840 (2022).
- D. Roitshtain, N. A. Turko, B. Javidi, and N. T. Shaked, "Flipping interferometry and its application for quantitative phase microscopy in a micro-channel," Opt. Lett. 41, 2354-2357 (2016). https://doi.org/10.1364/OL.41.002354
- I. Moreno, G. Paez, and M. Strojnik, "Reversal and rotationally shearing interferometer," Opt. Commun. 233, 245-252 (2004). https://doi.org/10.1016/j.optcom.2004.01.043
- H. Wang, K. Sawhney, S. Berujon, E. Ziegler, S. Rutishauser, and C. David, "X-ray wavefront characterization using a rotating shearing interferometer technique," Opt. Express 19, 16550-16559 (2011). https://doi.org/10.1364/OE.19.016550
- M. Makita, G. Seniutinas, M. H. Seaberg, H. J. Lee, E. C. Galtier, M. Liang, A. Aquila, S. Boutet, A. Hashim, M. S. Hunter, T. van Driel, U. Zastrau, C. David, and B. Nagler, "Double grating shearing interferometry for X-ray free-electron laser beams," Optica 7, 404-409 (2020). https://doi.org/10.1364/OPTICA.390601
- D. Liu, Y. Yang, L. Wang, and Y. Zhuo, "Real time diagnosis of transient pulse laser with high repetition by radial shearing interferometer," Appl. Opt. 46, 8305-8314 (2007). https://doi.org/10.1364/AO.46.008305
- D. Bian, D. Kim, B. Kim, L. Yu, K.-N. Joo, and S.-W. Kim, "Diverging cyclic radial shearing interferometry for singleshot wavefront sensing," Appl. Opt. 59, 9067-9074 (2020). https://doi.org/10.1364/AO.402903
- D. Bian, K.-N. Joo, Y. Lu, and L. Yu, "Spherical wavefront measurement on modified cyclic radial shearing interferometry," Opt. Express 29, 38347-38358 (2021). https://doi.org/10.1364/OE.441675
- H. M. Park, D. Kim, C. E. Guthery, and K.-N. Joo, "Radial shearing dynamic wavefront sensor based on a geometric phase lens pair," Opt. Lett. 47, 549-552 (2022). https://doi.org/10.1364/OL.447505
- H. M. Park and K.-N. Joo, "Surface figure measurement tool based on a radial shearing interferometer using a geometric phase lens with various spherical wavefronts," Appl. Opt. 62, 1999-2006 (2023). https://doi.org/10.1364/AO.477105
- X. Liu, Y. Gao, and M. Chang, "A partial differential equation algorithm for wavefront reconstruction in lateral shearing interferometry," J. Opt. A: Pure Appl. Opt. 11, 045702 (2009).
- J.-C. Chanteloup, "Multiple-wave lateral shearing interferometry for wave-front sensing," Appl. Opt. 44, 1559-1571 (2005). https://doi.org/10.1364/AO.44.001559
- M. Carbillet, A. Ferrari, C. Aime, H. Campbell, and A. Greenaway, "Wavefront sensing: from historical roots to the state-of-the-art," EAS Publ. Ser. 22, 165-185 (2006). https://doi.org/10.1051/eas:2006131
- L. Huang, M. Idir, C. Zuo, K. Kaznatcheev, L. Zhou, and A. Asundi, "Comparison of two-dimensional integration methods for shape reconstruction from gradient data," Opt. Lasers Eng. 64, 1-11 (2015). https://doi.org/10.1016/j.optlaseng.2014.07.002
- X. Xie, L. Yang, N. Xu, and X. Chen, "Michelson interferometer based spatial phase shift shearography," Appl. Opt. 52, 4063-4071 (2013). https://doi.org/10.1364/AO.52.004063
- H. M. Shang, Y. Y. Hung, W. D. Luo, and F. Chen, "Surface profiling using shearography," Opt. Eng. 39, 23-31 (2000). https://doi.org/10.1117/1.602331
- S. Aknoun, J. Savatier, P. Bon, F. Galland, L. Abdeladim, B. F. Wattellier, and S. Monneret, "Living cell dry mass measurement using quantitative phase imaging with quadriwave lateral shearing interferometry: an accuracy and sensitivity discussion," J. Biomed. Opt. 20, 126009 (2015).
- Y. Baek, K. Lee, J. Yoon, K. Kim, and Y. Park, "White-light quantitative phase imaging unit," Opt. Express 24, 9308-9315 (2016). https://doi.org/10.1364/OE.24.009308
- P. Bon, J. Savatier, M. Merlin, S. Monneret, and B. Wattellier, "Optical detection and measurement of living cell morphometric features with single-shot quantitative phase microscopy," J. Biomed. Opt. 17, 076004 (2012).
- S. Rawat, S. Komatsu, A. Markman, A. Anand, and B. Javidi, "Compact and field-portable 3D printed shearing digital holographic microscope for automated cell identification," Appl. Opt. 56, D127-D133 (2017). https://doi.org/10.1364/AO.56.00D127
- A. S. G. Singh, A. Anand, R. A. Leitgeb, and B. Javidi, "Lateral shearing digital holographic imaging of small biological specimens," Opt. Express 20, 23617-23622 (2012). https://doi.org/10.1364/OE.20.023617
- P. Bon, G. Maucort, B. Wattellier, and S. Monneret, "Quadriwave lateral shearing interferometry for quantitative phase microscopy of living cells," Opt. Express 17, 13080-13094 (2009). https://doi.org/10.1364/OE.17.013080
- C. Falldorf, M. Agour, and R. B. Bergmann, "Digital holography and quantitative phase contrast imaging using computational shear interferometry," Opt. Eng. 54, 024110 (2015).
- H. B. Jeong, H. M. Park, Y.-S. Ghim, and K.-N. Joo, "Flexible lateral shearing interferometry based on polarization gratings for surface figure metrology," Opt. Lasers Eng. 154, 107020 (2022).
- Y.-S. Ghim, H.-G. Rhee, A. Davies, H.-S. Yang, and Y.-W. Lee, "3D surface mapping of freeform optics using wavelength scanning lateral shearing interferometry," Opt. Express 22, 5098-5105 (2014). https://doi.org/10.1364/OE.22.005098
- C. Ma, Y. Li, J. Zhang, P. Li, T. Xi, J. Di, and J. Zhao, "Lateral shearing common-path digital holographic microscopy based on a slightly trapezoid Sagnac interferometer," Opt. Express 25, 13659-13667 (2017). https://doi.org/10.1364/OE.25.013659
- Y. B. Seo, H. B. Jeong, H.-G. Rhee, Y.-S. Ghim, and K.-N. Joo, "Single-shot freeform surface profiler," Opt. Express 28, 3401-3409 (2020). https://doi.org/10.1364/OE.380305
- Y. Zhu, A. Tian, H. Yuan, B. Liu, H. Wang, K. Ren, Y. Zhang, K. Wang, and S. Wang, "Quadriwave lateral shearing interferometry based on double birefringent crystals of beam displacer," Appl. Opt. 62, 654-664 (2023). https://doi.org/10.1364/AO.478344
- M. Kumar and C. Shakher, "Measurement of temperature and temperature distribution in gaseous flames by digital speckle pattern shearing interferometry using holographic optical element," Opt. Lasers Eng. 73, 33-39 (2015). https://doi.org/10.1016/j.optlaseng.2015.04.002
- P. Ferraro, D. Alferi, S. De Nicola, L. De Petrocellis, A. Finizio, and G. Pierattini, "Quantitative phase-contrast microscopy by a lateral shear approach to digital holographic image reconstruction," Opt. Lett. 31, 1405-1407 (2006). https://doi.org/10.1364/OL.31.001405
- A. Gopal, S. Minardi, and M. Tatarakis, "Quantitative two-dimensional shadowgraphic method for high-sensitivity density measurement of under-critical laser plasmas," Opt. Lett. 32, 1238-1240 (2007). https://doi.org/10.1364/OL.32.001238
- S. Aknoun, P. Bon, J. Savatier, B. Wattellier, and S. Monneret, "Quantitative retardance imaging of biological samples using quadriwave lateral shearing interferometry," Opt. Express 23, 16383-16406 (2015). https://doi.org/10.1364/OE.23.016383
- T. Ling, D. Liu, X. Yue, Y. Yang, Y. Shen, and J. Bai, "Quadriwave lateral shearing interferometer based on a randomly encoded hybrid grating," Opt. Lett. 40, 2245-2248 (2015). https://doi.org/10.1364/OL.40.002245
- T. Ling, J. Jiang, R. Zhang, and Y. Yang, "Quadriwave lateral shearing interferometric microscopy with wideband sensitivity enhancement for quantitative phase imaging in real time," Sci. Rep. 7, 9 (2017).
- P. Singh, M. S. Faridi, and C. Shakher, "Measurement of temperature of an axisymmetric flame using shearing interferometry and Fourier fringe analysis technique," Opt. Eng. 43, 387-392 (2004). https://doi.org/10.1117/1.1635370
- P. P. Naulleau, K. A. Goldberg, and J. Bokor, "Extreme ultraviolet carrier-frequency shearing interferometry of a lithographic four-mirror optical system," J. Vac. Sci. Technol. B 18, 2939-2943 (2000). https://doi.org/10.1116/1.1321290
- D. H. Szczesna, J. Jaronski, H. T. Kasprzak, and U. Stenevi, "Interferometric measurements of dynamic changes of tear film," J. Biomed. Opt. 11, 034028 (2006).
- F. Santos, M. Vaz, and J. Monteiro, "A new set-up for pulsed digital shearography applied to defect detection in composite structures," Opt. Lasers Eng. 42, 131-140 (2004). https://doi.org/10.1016/j.optlaseng.2003.07.002
- D. Wang, C. Wang, X. Tian, H. Wu, J. Liang, and R. Liang, "Snapshot phase-shifting lateral shearing interferometer," Opt. Lasers Eng. 128, 106032 (2020).
- V.-H.-L. Nguyen, H.-G. Rhee, and Y.-S. Ghim, "Improved iterative method for wavefront reconstruction from derivatives in grid geometry," Curr. Opt. Photonics 6, 1-9 (2022).
- G. Li, Y. Li, K. Liu, X. Ma, and H. Wang, "Improving wavefront reconstruction accuracy by using integration equations with higher-order truncation errors in the Southwell geometry," J. Opt. Soc. Am. A 30, 1448-1459 (2013). https://doi.org/10.1364/JOSAA.30.001448
- Z. Ji, X. Zhang, Z. Zheng, Y. Li, and J. Chang, "Algorithm based on the optimal block zonal strategy for fast wavefront reconstruction," Appl. Opt. 59, 1383-1396 (2020). https://doi.org/10.1364/AO.380999
- F. Dai, F. Tang, X. Wang, O. Sasaki, and P. Feng, "Modal wavefront reconstruction based on Zernike polynomials for lateral shearing interferometry: comparisons of existing algorithms," Appl. Opt. 51, 5028-5037 (2012). https://doi.org/10.1364/AO.51.005028
- I. Mochi and K. A. Goldberg, "Modal wavefront reconstruction from its gradient," Appl. Opt. 54, 3780-3785 (2015). https://doi.org/10.1364/AO.54.003780
- N. Gu, L. Huang, Z. Yang, Q. Luo, and C. Rao, "Modal wavefront reconstruction for radial shearing interferometer with lateral shear," Opt. Lett. 36, 3693-3695 (2011). https://doi.org/10.1364/OL.36.003693
- C. Tian, X. Chen, and S. Liu, "Modal wavefront reconstruction in radial shearing interferometry with general aperture shapes," Opt. Express 24, 3572-3583 (2016). https://doi.org/10.1364/OE.24.003572
- G. Garcia-Torales, G. Paez, and M. Strojnik, "Simulations and experimental results with a vectorial shearing interferometer," Opt. Eng. 40, 767-773 (2001). https://doi.org/10.1117/1.1360707
- T. M. Jeong, D.-K. Ko, and J. Lee, "Method of reconstructing wavefront aberrations by use of Zernike polynomials in radial shearing interferometers," Opt. Lett. 32, 232-234 (2007). https://doi.org/10.1364/OL.32.000232
- K. Sugisaki, M. Okada, K. Otaki, Y. Zhu, J. Kawakami, K. Murakami, C. Ouchi, M. Hasegawa, S. Kato, T. Hasegawa, H. Yokota, T. Honda, and M. Niibe, "EUV wavefront measurement of six-mirror optics using EWMS," Proc. SPIE 6921, 69212U (2008).
- D. Ambrosini, D. Paoletti, and N. Rashidnia, "Overview of diffusion measurements by optical techniques," Opt. Lasers Eng. 46, 852-864 (2008). https://doi.org/10.1016/j.optlaseng.2008.06.008
- A. Dubra, C. Paterson, and C. Dainty, "Double lateral shearing interferometer for the quantitative measurement of tear film topography," Appl. Opt. 44, 1191-1199 (2005). https://doi.org/10.1364/AO.44.001191
- D. H. Szczesna and D. R. Iskander, "Lateral shearing interferometry for analysis of tear film surface kinetics," Optom. Vis. Sci. 87, 513-517 (2010). https://doi.org/10.1097/OPX.0b013e3181e17279
- N. Qi, J. Schein, J. Thompson, P. Coleman, M. McFarland, R. R. Prasad, M. Krishnan, B. V. Weber, B. Moosman, J. W. Schumer, D. Mosher, R. J. Commisso, and D. Bell, "Z pinch imploding plasma density profile measurements using a twoframe laser shearing interferometer," IEEE Trans. Plasma Sci. 30, 227-238 (2002). https://doi.org/10.1109/TPS.2002.1003865
- E. O. Baronova, O. A. Bashutin, V. V. Vikhrev, E. D. Vovchenko, E. I. Dodulad, S. P. Eliseev, V. I. Krauz, A. D. Mironenko-Marenkov, V. Y. Nikulin, I. F. Raevskii, A. S. Savelov, S. A. Sarantsev, P. V. Silin, A. M. Stepanenko, Yu. A. Kakutina, and L. A. Dushina, "Study of a cumulative jet in a plasma focus discharge by the method of shearing interferometry," Plasma Phys. Rep. 38, 751-760 (2012). https://doi.org/10.1134/S1063780X12080065
- S. A. Pikuz, V. M. Romanova, N. V. Baryshnikov, M. Hu, B. R. Kusse, D. B. Sinars, T. A. Shelkovenko, and D. A. Hammer, "A simple air wedge shearing interferometer for studying exploding wires," Rev. Sci. Instrum. 72, 1098-1100 (2001). https://doi.org/10.1063/1.1321746
- N. Ramesh and W. Merzkirch, "Combined convective and radiative heat transfer in side-vented open cavities," Int. J. Heat Fluid Flow 22, 180-187 (2001). https://doi.org/10.1016/S0142-727X(00)00080-1
- J. Di, Y. Li, M. Xie, J. Zhang, C. Ma, T. Xi, E. Li, and J. Zhao, "Dual-wavelength common-path digital holographic microscopy for quantitative phase imaging based on lateral shearing interferometry," Appl. Opt. 55, 7287-7293 (2016). https://doi.org/10.1364/AO.55.007287
- G. Baffou, "Quantitative phase microscopy using quadriwave lateral shearing interferometry (QLSI): principle, terminology, algorithm and grating shadow description," J. Phys. D.: Appl. Phys. 54, 294002 (2021).
- P. Bon, J. Linares-Loyez, M. Feyeux, K. Alessandri, B. Lounis, P. Nassoy, and L. Cognet, "Self-interference 3D superresolution microscopy for deep tissue investigations," Nat. Methods 15, 449-454 (2018). https://doi.org/10.1038/s41592-018-0005-3
- K. Lee and Y. Park, "Quantitative phase imaging unit," Opt. Lett. 39, 3630-3633 (2014). https://doi.org/10.1364/OL.39.003630
- S. Monneret, P. Bon, G. Baffou, P. Berto, J. Savatier, S. Aknoun, and H. Rigneault, "Quadriwave lateral shearing interferometry as a quantification tool for microscopy. Application to dry mass determination of living cells, temperature mapping, and vibrational phase imaging," Proc. SPIE 8792, 879209 (2013).