• Infrared and Laser Engineering
  • Vol. 48, Issue 6, 603011 (2019)
Zhang Fucai*, Xu Wenhui, He Zhenfei, Lv Wenming, Wang Qiu, and Wang Hangyu
Author Affiliations
  • [in Chinese]
  • show less
    DOI: 10.3788/irla201948.0603011 Cite this Article
    Zhang Fucai, Xu Wenhui, He Zhenfei, Lv Wenming, Wang Qiu, Wang Hangyu. Progress in coherent diffraction imaging: ptychography and coherent modulation imaging[J]. Infrared and Laser Engineering, 2019, 48(6): 603011 Copy Citation Text show less
    References

    [1] Miao J, Charalambous P, Kirz J, et al. Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens[J]. Nature, 1999, 400(6742): 342-344.

    [2] Miao J, Ishikawa T, Robinson I K, et al. Beyond crystallography: diffractive imaging using coherent X-ray light sources [J]. Science, 2015, 348(6234): 530-535.

    [3] Shechtman Y, Eldar Y C, Cohen O, et al. Phase retrieval with application to optical imaging: A con temporary overview[J]. IEEE Signal Processing Magazine, 2015, 32(3): 87-109.

    [4] Fienup J R. Phase retrieval algorithms: a comparison [J]. Applied Optics, 1982, 21(15): 2758-2769.

    [5] Yamaguchi I, Zhang T. Phase-shifting digital holography[J]. Optics Letters, 1997, 22(16): 1268-1270.

    [6] Nakasako M. X-ray Diffraction Imaging of Biological Cell [M]. Berlin: Springer, 2018.

    [7] Zuo J M, Vartanyants I, Gao M, et al. Atomic resolution imaging of a carbon nanotube from diffraction intensities[J]. Science, 2003, 300(5624): 1419-1421.

    [8] Shapiro D, Thibault P, Beetz T, et al. Biological imaging by soft X-ray diffraction microscopy[C]//Proc Natl Acad Sci USA, 2005: 15343-15346.

    [9] Chapman H, Barty A, Bogan M J, et al. Femtosecond diffractive imaging with a soft-X-ray-electron laser [J]. Nat Phys, 2006, 2(12): 839-843.

    [10] Jiang H, Song C, Chen C, et al. Quantitative 3D imaging of whole, unstained cells by using X-ray diffraction Microscopy[C]//Proc Natl Acad Sci USA, 2010: 11234-11239.

    [11] Seibert M, Ekeberg T, Maia F, et al. Single mimivirus particles intercepted and imaged with an X-ray laser[J]. Nature, 2011, 470(7332): 78-81.

    [13] Jiang H, Xu R, Chen C C, et al. Three-dimensional coherent X-Ray diffraction imaging of molten iron in mantle olivine at nanoscale resolution[J]. Physical Review Letters, 2013, 110(20): 205501.

    [14] Clark J N, Beitra L, Xiong G, et al. Ultrafast three-dimensional imaging of lattice dynamics in individual gold nanocrystals[J]. Science, 2013, 341(6141): 56-59.

    [15] Van der Schot G, Svenda M, Maia F R N C, et al. Imaging single cells in a beam of live cyanobacteria with an X-ray laser[J]. Nature Communications, 2015, 6: 5704.

    [18] Seaberg M D, Zhang B, Gardner D F, et al. Tabletop nanometer extreme ultraviolet imaging in an extended reflection mode using coherent Fresnel ptychography[J]. Optica, 2014, 1(1): 39-44.

    [19] Roy S, Parks D, Seu K A, et al. Lensless X-ray imaging in reflection geometry[J]. Nature Photonics, 2011, 5(4): 243.

    [20] Robinson I K, Vartanyants I A, Williams G J, et al. Reconstruction of the shapes of gold nanocrystals using coherent x-ray diffraction[J]. Physical Review Letters, 2001, 87(19): 195505.

    [21] Pfeifer M A, Williams G J, Vartanyants I A, et al. Three-dimensional mapping of a deformation field inside a nanocrystal[J]. Nature, 2006, 442(7098): 63.

    [22] Fienup J R, Wackerman C C. Phase-retrieval stagnation problems and solutions[J]. JOSA A, 1986, 3(11): 1897-1907.

    [23] Williams G J, Quiney H M, Dhal B B, et al. Fresnel coherent diffractive imaging[J]. Physical Review Letters, 2006, 97(2): 025506.

    [24] Abbey B, Nugent K A, Williams G J, et al. Keyhole coherent diffractive imaging[J]. Nature Physics, 2008, 4(5): 394-398.

    [25] Rodenburg J M, Hurst A C, Cullis A G, et al. Hard-X-ray lensless imaging of extended objects[J]. Physical Review Letters, 2007, 98(3): 034801.

    [26] Guizar-Sicairos M, Fienup J R. Phase retrieval with transverse translation diversity: a nonlinear optimization approach[J]. Optics Express, 2008, 16(10): 7264-7278.

    [27] Thibault P, Dierolf M, Menzel A, et al. High-resolution scanning x-ray diffraction microscopy[J]. Science, 2008, 321(5887): 379-382.

    [28] Zhang F, Pedrini G, Osten W. Phase retrieval of arbitrary complex-valued fields through aperture-plane modulation[J]. Physical Review A, 2007, 75(4): 043805.

    [29] Zhang F, Rodenburg J M. Phase retrieval based on wave-front relay and modulation[J]. Physical Review B, 2010, 82(12): 121104.

    [30] Zhang F, Chen B, Morrison G R, et al. Phase retrieval by coherent modulation imaging[J]. Nature Communications, 2016, 7: 13367.

    [31] Marchesini S. Invited article: A unified evaluation of iterative projection algorithms for phase retrieval[J]. Review of Scientific Instruments, 2007, 78(1): 011301.

    [32] Sayre D. Some implications of a theorem due to Shannon[J]. Acta Crystallographica, 1952, 5(6): 843-843.

    [33] Gureyev T E, Nugent K A. Rapid quantitative phase imaging using the transport of intensity equation[J]. Optics Communications, 1997, 133(1-6): 339-346.

    [34] Gerchberg R W. Phase determination for image and diffraction plane pictures in the electron microscope[J]. Optik (Stuttgart), 1971, 34: 275.

    [35] Gerchberg R W. A practical algorithm for the determination of phase from image and diffraction plane pictures[J]. Optik, 1972, 35: 237-246.

    [36] Fienup J R. Reconstruction of an object from the modulus of its Fourier transform[J]. Optics Letters, 1978, 3(1): 27-29.

    [37] Fienup J R. Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint[J]. J Opt Soc Am A, 1987, 4: 118-123.

    [38] Yang G, Gu B. On the amplitude-phase retrieval problem in optical systems[J]. Journal of Physics, 1981, 30(3): 410-413.

    [39] Guizar-Sicairos M, Fienup J R. Understanding the twin-image problem in phase retrieval[J]. JOSA A, 2012, 29(11): 2367-2375.

    [40] Miao J, Sayre D, Chapman H N. Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects[J]. JOSA A, 1998, 15(6): 1662-1669.

    [41] Hoppe W. Diffraction in inhomogeneous primary wave fields. 1. Principle of phase determination from electron diffraction interference[J]. Acta Crystallographica, 2014, 25(4): 495-501.

    [42] Rodenburg J M, Bates R H T. The theory of super-resolution electron microscopy via Wigner-distribution deconvolution[J]. Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1992, 339(1655): 521-553.

    [43] Spence J C H, Howells M, Marks L D, et al. Lensless imaging: a workshop on "new approaches to the phase problem for non-periodic objects."[J]. Ultramicroscopy, 2001, 90(1): 1-6.

    [44] Rodenburg J M, Faulkner H M L. A phase retrieval algorithm for shifting illumination[J]. Applied Physics Letters, 2004, 85(20): 4795.

    [45] Faulkner H M L, Rodenburg J M. Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm[J]. Physical Review Letters, 2004, 93(2): 023903.

    [46] Rodenburg J M. Ptychography and related diffractive imaging methods[J]. Advances in Imaging & Electron Physics, 2008, 150: 87-184.

    [47] Pfeiffer F. X-ray ptychography[J]. Nature Photonics, 2017, 12(1): 9-17.

    [48] Rodenburg J M, Hurst A C, Cullis A G. Transmission microscopy without lenses for objects of unlimited size[J]. Ultramicroscopy, 2007, 107(2-3): 227-231.

    [49] Maiden A M, Rodenburg J M. An improved ptychographical phase retrieval algorithm for diffractive imaging[J]. Ultramicroscopy, 2009, 109(10): 1256-1262.

    [50] Elser V. Phase retrieval by iterated projections[J]. JOSA A, 2003, 20(1): 40-55.

    [51] Thibault P, Dierolf M, Bunk O, et al. Probe retrieval in ptychographic coherent diffractive imaging[J]. Ultramicroscopy, 2009, 109(4): 338-343.

    [52] Maiden A M, Humphry M J, Sarahan M C, et al. An annealing algorithm to correct positioning errors in ptychography[J]. Ultramicroscopy, 2012, 120: 64-72.

    [53] Zhang F, Peterson I, Vila-Comamala J, et al. Translation position determination in ptychographic coherent diffraction imaging[J]. Optics Express, 2013, 21(11): 13592-13606.

    [54] Odstrcil M, Baksh P, Boden S A, et al. Ptychographic coherent diffractive imaging with orthogonal probe relaxation[J]. Optics Express, 2016, 24(8): 8360-8369.

    [55] Thibault P, Menzel A. Reconstructing state mixtures from diffraction measurements[J]. Nature, 2013, 494(7435): 68.

    [56] Chang H, Enfedaque P, Lou Y, et al. Partially coherent ptychography by gradient decomposition of the probe[J]. Acta Crystallographica Section A: Foundations and Advances, 2018, 74(3): 157-169.

    [57] Maiden A M, Humphry M J, Rodenburg J M. Ptychographic transmission microscopy in three dimensions using a multi-slice approach[J]. JOSA A, 2012, 29(8): 1606-1614.

    [58] Dierolf M, Thibault P, Menzel A, et al. Ptychographic coherent diffractive imaging of weakly scattering specimens[J]. New Journal of Physics, 2010, 12(3): 035017.

    [59] Odstr■il M, Menzel A, Guizar-Sicairos M. Iterative least-squares solver for generalized maximum-likelihood ptychography[J]. Optics Express, 2018, 26(3): 3108-3123.

    [60] Bunk O, Dierolf M, Kynde S, et al. Influence of the overlap parameter on the convergence of the ptychographical iterative engine[J]. Ultramicroscopy, 2008, 108(5): 481-487.

    [61] Spence J C H, Weierstall U, Howells M. Coherence and sampling requirements for diffractive imaging[J]. Ultramicroscopy, 2004, 101(2-4): 149-152.

    [62] Kuznetsova Y, Neumann A, Brueck S R J. Imaging interferometric microscopy[J]. Optics Letters, 2003, 28(16):1424.

    [63] Hillman T R, Gutzler T, Alexandrov S A, et al. High-resolution, wide-field object reconstruction with synthetic aperture Fourier holographic optical microscopy[J]. Optics Express, 2009, 17(10): 7873-7892.

    [64] Gutzler T, Hillman T R, Alexandrov S A, et al. Coherent aperture-synthesis, wide-field, high-resolution holographic microscopy of biological tissue[J]. Optics Letters, 2010, 35(8): 1136-1138.

    [65] Levoy M, Ng R, Adams A, et al. Light field microscopy.[J]. Acm Transactions on Graphics, 2006, 25(3): 924-934.

    [66] Gustafsson M G. Surpassing the lateral resolution limit by a factor of two using structured illumination microscopy[J]. Journal of Microscopy, 2000, 198(2): 6.

    [67] Tyson R. Principles of Adaptive Optics[M]. New York: CRC Press, 2010.

    [68] Zheng G, Horstmeyer R, Yang C. Wide-field, high-resolution Fourier ptychographic microscopy[J]. Nature Photonics, 2013, 7(9): 739-745.

    [69] Zheng G. Breakthroughs in photonics 2013: Fourier ptychographic imaging[J]. IEEE Photonics Journal, 2014, 6(2): 1-7.

    [70] Bian Z, Dong S, Zheng G. Adaptive system correction for robust Fourier ptychographic imaging[J]. Optics Express, 2013, 21(26): 32400-32410.

    [71] Sun J, Chen Q, Zhang Y, et al. Efficient positional misalignment correction method for Fourier ptychographic microscopy[J]. Biomedical Optics Express, 2016, 7(4): 1336-1350.

    [72] Zhou A, Wang W, Chen N, et al. Fast and robust misalignment correction of Fourier ptychographic microscopy for full field of view reconstruction[J]. Optics Express, 2018, 26(18): 23661-23674.

    [73] Bian L, Zheng G, Guo K, et al. Motion-corrected Fourier ptychography[J]. Biomedical Optics Express, 2016, 7(11): 4543-4553.

    [74] Bian L, Suo J, Zheng G, et al. Fourier ptychographic reconstruction using Wirtinger flow optimization[J]. Optics Express, 2015, 23(4): 4856-4866.

    [75] Yeh L H, Dong J, Zhong J, et al. Experimental robustness of Fourier ptychography phase retrieval algorithms[J]. Optics Express, 2015, 23(26): 33214-33240.

    [76] Zuo C, Sun J, Chen Q. Adaptive step-size strategy for noise-robust Fourier ptychographic microscopy[J]. Optics Express, 2016, 24(18): 20724-20744.

    [77] Bian L, Suo J, Chung J, et al. Fourier ptychographic reconstruction using Poisson maximum likelihood and truncated Wirtinger gradient[J]. Scientific Reports, 2016, 6: 27384.

    [78] Pan X, Liu C, Zhu J. Single shot ptychographical iterative engine based on multi-beam illumination[J]. Applied Physics Letters, 2013, 103(17): 171105.

    [79] Sidorenko P, Cohen O. Single-shot ptychography[J]. Optica, 2016, 3(1): 9-14.

    [80] Chen B K, Sidorenko P, Lahav O, et al. Multiplexed single-shot ptychography[J]. Optics Letters, 2018, 43(21): 5379-5382.

    [81] Shi Y, Li T, Wang Y, et al. Optical image encryption via ptychography[J]. Optics Letters, 2013, 38(9): 1425-1427.

    [82] Xu W, Xu H, Luo Y, et al. Optical watermarking based on single-shot-ptychography encoding[J]. Optics Express, 2016, 24(24): 27922-27936.

    [83] Xu W, Luo Y, Li T, et al. Multiple-image hiding by using single-shot ptychography in transform domain[J]. IEEE Photonics Journal, 2017, 9(3): 1-10.

    [84] Holloway J, Asif M S, Sharma M K, et al. Toward long distance, sub-diffraction imaging using coherent camera arrays[J]. IEEE Transactions on Computational Imaging, 2015, 2(3): 251-265.

    [85] He X, Liu C, Zhu J. Single-shot aperture-scanning Fourier ptychography[J]. Optics Express, 2018, 26(22): 28187-28196.

    [86] He X, Liu C, Zhu J. Single-shot Fourier ptychography based on diffractive beam splitting[J]. Optics Letters, 2018, 43(2): 214-217.

    [87] Lee B, Hong J, Yoo D, et al. Single-shot phase retrieval via Fourier ptychographic microscopy[J]. Optica, 2018, 5(8): 976-983.

    [88] Zhou Y, Wu J, Suo J, et al. Single-shot lensless imaging via simultaneous multi-angle LED illumination[J]. Optics Express, 2018, 26(17): 21418-21432.

    [89] Chao Z, Zhang J, Sun J, et al. Single-shot quantitative phase microscopy based on color-multiplexed Fourier ptychography[J]. Optics Letters, 2018, 43(14): 3365.

    [90] He X, Tao H, Pan X, et al. High-quality laser beam diagnostics using modified coherent phase modulation imaging[J]. Optics Express, 2018, 26(5): 6239.

    [91] Tao H, Veetil S P, Cheng J, et al. Measurement of the complex transmittance of large optical elements with modulation coherent imaging[J]. Applied Optics, 2015, 54(7): 1776-1781.

    [92] Jiang Y, Chen Z, Han Y M, et al. Electron ptychography of 2D materials to deep sub-angstrom resolution[J]. Nature, 2018, 559: 343-349.

    Zhang Fucai, Xu Wenhui, He Zhenfei, Lv Wenming, Wang Qiu, Wang Hangyu. Progress in coherent diffraction imaging: ptychography and coherent modulation imaging[J]. Infrared and Laser Engineering, 2019, 48(6): 603011
    Download Citation