As a revolutionary observation tool in life science, biomedical, and material science, optical microscopy allows imaging of samples with high spatial resolution and a wide field of view. However, conventional microscopy methods are limited to single imaging and cannot accomplish real-time image processing. The edge detection, image enhancement and phase visualization schemes have attracted great interest with the rapid development of optical analog computing. The two main physical mechanisms that enable optical analog computing originate from two geometric phases: the spin-redirection Rytov-Vlasimirskii-Berry (RVB) phase and the Pancharatnam-Berry (PB) phase. Here, we review the basic principles and recent research progress of the RVB phase and PB phase based optical differentiators. Then we focus on the innovative and emerging applications of optical analog computing in microscopic imaging. Optical analog computing is accelerating the transformation of information processing from classical imaging to quantum techniques. Its intersection with optical microscopy opens opportunities for the development of versatile and compact optical microscopy systems.
L. Lessor D. , S. Hartman J. , L. Gordon R. . Quantitative surface topography determination by Nomarski reflection microscopy. I. Theory. J. Opt. Soc. Am., 1979, 69(2): 357 https://doi.org/10.1364/JOSA.69.000357
Huang B. , Babcock H. , Zhuang X. . Breaking the diffraction barrier: Super-resolution imaging of cells. Cell, 2010, 143(7): 1047 https://doi.org/10.1016/j.cell.2010.12.002
6
Fernández-Suárez M. , Y. Ting A. . Fluorescent probes for super-resolution imaging in living cells. Nat. Rev. Mol. Cell Biol., 2008, 9(12): 929 https://doi.org/10.1038/nrm2531
7
A. Klar T. , Jakobs S. , Dyba M. , Egner A. , W. Hell S. . Fluorescence microscopy with diffraction resolution barrier broken by stimulated emission. Proc. Natl. Acad. Sci. USA, 2000, 97(15): 8206 https://doi.org/10.1073/pnas.97.15.8206
Betzig E. , H. Patterson G. , Sougrat R. , W. Lindwasser O. , Olenych S. , S. Bonifacino J. , W. Davidson M. , Lippincott-Schwartz J. , F. Hess H. . Imaging intracellular fluorescent proteins at nanometer resolution. Science, 2006, 313(5793): 1642 https://doi.org/10.1126/science.1127344
10
J. Rust M. , Bates M. , Zhuang X. . Sub-diffraction-limit imaging by stochastic optical reconstruction microscopy (STORM). Nat. Methods, 2006, 3(10): 793 https://doi.org/10.1038/nmeth929
11
G. L. Gustafsson M. . Nonlinear structured-illumination microscopy: Wide-field fluorescence imaging with theoretically unlimited resolution. Proc. Natl. Acad. Sci. USA, 2005, 102(37): 13081 https://doi.org/10.1073/pnas.0406877102
12
R. Zipfel W. , M. Williams R. , W. Webb W. . Nonlinear magic: Multiphoton microscopy in the biosciences. Nat. Biotechnol., 2003, 21(11): 1369 https://doi.org/10.1038/nbt899
Silva A. , Monticone F. , Castaldi G. , Galdi V. , Alù A. , Engheta N. . Performing mathematical operations with metamaterials. Science, 2014, 343(6167): 160 https://doi.org/10.1126/science.1242818
Ferrera M. , Park Y. , Razzari L. , E. Little B. , T. Chu S. , Morandotti R. , J. Moss D. , Azaña J. . On-chip CMOS-compatible all-optical integrator. Nat. Commun., 2010, 1(1): 29 https://doi.org/10.1038/ncomms1028
17
Ruan Z. . Spatial mode control of surface plasmon polariton excitation with gain medium: from spatial differentiator to integrator. Opt. Lett., 2015, 40(4): 601 https://doi.org/10.1364/OL.40.000601
18
A. Bykov D. , L. Doskolovich L. , A. Bezus E. , A. Soifer V. . Optical computation of the Laplace operator using phase-shifted Bragg grating. Opt. Express, 2014, 22(21): 25084 https://doi.org/10.1364/OE.22.025084
19
L. Doskolovich L. , A. Bykov D. , A. Bezus E. , A. Soifer V. . Spatial differentiation of optical beams using phase-shifted Bragg grating. Opt. Lett., 2014, 39(5): 1278 https://doi.org/10.1364/OL.39.001278
20
Zhou J. , Qian H. , Chen C. , Zhao J. , Li G. , Wu Q. , Luo H. , Wen S. , Liu Z. . Optical edge detection based on high-efficiency dielectric metasurface. Proc. Natl. Acad. Sci. USA, 2019, 116(23): 11137 https://doi.org/10.1073/pnas.1820636116
21
Abdollahramezani S. , Chizari A. , E. Dorche A. , V. Jamali M. , A. Salehi J. . Dielectric metasurfaces solve differential and integro-differential equations. Opt. Lett., 2017, 42(7): 1197 https://doi.org/10.1364/OL.42.001197
22
Mohammadi Estakhri N. , Edwards B. , Engheta N. . Inverse-designed metastructures that solve equations. Science, 2019, 363(6433): 1333 https://doi.org/10.1126/science.aaw2498
23
He S. , Wang R. , Luo H. . Computing metasurfaces for all-optical image processing: A brief review. Nanophotonics, 2022, 11(6): 1083 https://doi.org/10.1515/nanoph-2021-0823
24
Zhou Y. , Zheng H. , I. Kravchenko I. , Valentine J. . Flat optics for image differentiation. Nat. Photonics, 2020, 14(5): 316 https://doi.org/10.1038/s41566-020-0591-3
25
Huo P. , Zhang C. , Zhu W. , Liu M. , Zhang S. , Zhang S. , Chen L. , J. Lezec H. , Agrawal A. , Lu Y. , Xu T. . Photonic spin-multiplexing metasurface for switchable spiral phase contrast imaging. Nano Lett., 2020, 20(4): 2791 https://doi.org/10.1021/acs.nanolett.0c00471
26
Zhou J. , Qian H. , Zhao J. , Tang M. , Wu Q. , Lei M. , Luo H. , Wen S. , Chen S. , Liu Z. . Two-dimensional optical spatial differentiation and high-contrast imaging. Natl. Sci. Rev., 2021, 8(6): nwaa176 https://doi.org/10.1093/nsr/nwaa176
27
Fu W. , Zhao D. , Li Z. , Liu S. , Tian C. , Huang K. . Ultracompact meta-imagers for arbitrary all-optical convolution. Light Sci. Appl., 2022, 11(1): 62 https://doi.org/10.1038/s41377-022-00752-5
28
Zhou J. , Liu S. , Qian H. , Li Y. , Luo H. , Wen S. , Zhou Z. , Guo G. , Shi B. , Liu Z. . Metasurface enabled quantum edge detection. Sci. Adv., 2020, 6(51): eabc4385 https://doi.org/10.1126/sciadv.abc4385
29
Liu J. , Yang Q. , Chen S. , Xiao Z. , Wen S. , Luo H. . Intrinsic optical spatial differentiation enabled quantum dark-field microscopy. Phys. Rev. Lett., 2022, 128(19): 193601 https://doi.org/10.1103/PhysRevLett.128.193601
30
Zhou Y. , Wu W. , Chen R. , Chen W. , Chen R. , Ma Y. . Analog optical spatial differentiators based on dielectric metasurfaces. Adv. Opt. Mater., 2020, 8(4): 1901523 https://doi.org/10.1002/adom.201901523
31
Wan L. , Pan D. , Yang S. , Zhang W. , A. Potapov A. , Wu X. , Liu W. , Feng T. , Li Z. . Optical analog computing of spatial differentiation and edge detection with dielectric metasurfaces. Opt. Lett., 2020, 45(7): 2070 https://doi.org/10.1364/OL.386986
32
Zangeneh-Nejad F. , L. Sounas D. , Alù A. , Fleury R. . Analogue computing with metamaterials. Nat. Rev. Mater., 2020, 6(3): 207 https://doi.org/10.1038/s41578-020-00243-2
33
Xiao T. , Yang H. , Yang Q. , Xu D. , Wang R. , Chen S. , Luo H. . Realization of tunable edge-enhanced images based on computing metasurfaces. Opt. Lett., 2022, 47(4): 925 https://doi.org/10.1364/OL.450988
34
Wang Z. , Hu G. , Wang X. , Ding X. , Zhang K. , Li H. , N. Burokur S. , Wu Q. , Liu J. , Tan J. , Qiu C. . Single-layer spatial analog meta-processor for imaging processing. Nat. Commun., 2022, 13(1): 2188 https://doi.org/10.1038/s41467-022-29732-4
35
Xu D.Wen S.Luo H., Metasurface-based optical analog computing: From fundamentals to applications, Adv. Devices Instrum., doi: (2022)
36
Youssefi A. , Zangeneh-Nejad F. , Abdollahramezani S. , Khavasi A. . Analog computing by Brewster effect. Opt. Lett., 2016, 41(15): 3467 https://doi.org/10.1364/OL.41.003467
37
Zhu T. , Lou Y. , Zhou Y. , Zhang J. , Huang J. , Li Y. , Luo H. , Wen S. , Zhu S. , Gong Q. , Qiu M. , Ruan Z. . Generalized spatial differentiation from the spin Hall effect of light and its application in image processing of edge detection. Phys. Rev. Appl., 2019, 11(3): 034043 https://doi.org/10.1103/PhysRevApplied.11.034043
38
He S. , Zhou J. , Chen S. , Shu W. , Luo H. , Wen S. . Wavelength-independent optical fully differential operation based on the spin−orbit interaction of light. APL Photonics, 2020, 5(3): 036105 https://doi.org/10.1063/1.5144953
39
Xu D. , He S. , Zhou J. , Chen S. , Wen S. , Luo H. . Goos–Hänchen effect enabled optical differential operation and image edge detection. Appl. Phys. Lett., 2020, 116(21): 211103 https://doi.org/10.1063/5.0006483
40
Y. Bliokh K. , Gorodetski Y. , Kleiner V. , Hasman E. . Coriolis effect in optics: Unified geometric phase and spin-Hall effect. Phys. Rev. Lett., 2008, 101(3): 030404 https://doi.org/10.1103/PhysRevLett.101.030404
41
Yin X. , Ye Z. , Rho J. , Wang Y. , Zhang X. . Photonic spin Hall effect at metasurfaces. Science, 2013, 339(6126): 1405 https://doi.org/10.1126/science.1231758
42
Ling X. , Zhou X. , Yi X. , Shu W. , Liu Y. , Chen S. , Luo H. , Wen S. , Fan D. . Giant photonic spin Hall effect in momentum space in a structured metamaterial with spatially varying birefringence. Light Sci. Appl., 2015, 4(5): e290 https://doi.org/10.1038/lsa.2015.63
43
Wäldchen S. , Lehmann J. , Klein T. , Van De Linde S. , Sauer M. . Light-induced cell damage in live-cell super-resolution microscopy. Sci. Rep., 2015, 5(1): 15348 https://doi.org/10.1038/srep15348
44
Zhu T. , Huang J. , Ruan Z. . Optical phase mining by adjustable spatial differentiator. Adv. Photonics, 2020, 2(1): 016001 https://doi.org/10.1117/1.AP.2.1.016001
45
Kim Y. , Y. Lee G. , Sung J. , Jang J. , Lee B. . Spiral metalens for phase contrast imaging. Adv. Funct. Mater., 2022, 32(5): 2106050 https://doi.org/10.1002/adfm.202106050
46
Zhang X. , Bai B. , B. Sun H. , Jin G. , Valentine J. . Incoherent optoelectronic differentiation based on optimized multilayer films. Laser Photonics Rev., 2022, 16(9): 2200038 https://doi.org/10.1002/lpor.202200038
Wesemann L. , Rickett J. , Song J. , Lou J. , Hinde E. , J. Davis T. , Roberts A. . Nanophotonics enhanced coverslip for phase imaging in biology. Light Sci. Appl., 2021, 10(1): 98 https://doi.org/10.1038/s41377-021-00540-7
50
Pancharatnam S. . Generalized theory of interference and its applications. Proc. Indian Acad. Sci. Sect. A, 1956, 44(6): 398 https://doi.org/10.1007/BF03046095
51
Shapere A.Wilczek F., Geometric Phases in Physics, World Scientific, Singapore, 1989
Bomzon Z. , Biener G. , Kleiner V. , Hasman E. . Space-variant Pancharatnam–Berry phase optical elements with computer-generated subwavelength gratings. Opt. Lett., 2002, 27(13): 1141 https://doi.org/10.1364/OL.27.001141
54
Y. Bliokh K. , P. Bliokh Y. . Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet. Phys. Rev. Lett., 2006, 96(7): 073903 https://doi.org/10.1103/PhysRevLett.96.073903
55
Liu S. , Chen S. , Wen S. , Luo H. . Photonic spin Hall effect: fundamentals and emergent applications. Opto-Electronic Sci., 2022, 1(7): 220007 https://doi.org/10.29026/oes.2022.220007
56
Y. Bliokh K. . Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium. J. Opt. A, Pure Appl. Opt., 2009, 11(9): 094009 https://doi.org/10.1088/1464-4258/11/9/094009
57
Y. Bliokh K. , J. Rodríguez-Fortuño F. , Nori F. , V. Zayats A. . Spin–orbit interactions of light. Nat. Photonics, 2015, 9(12): 796 https://doi.org/10.1038/nphoton.2015.201
58
Cisowski C. , B. Götte J. , Franke-Arnold S. . Colloquium: Geometric phases of light: Insights from fiber bundle theory. Rev. Mod. Phys., 2022, 94(3): 031001 https://doi.org/10.1103/RevModPhys.94.031001
59
Liu Y. , Ke Y. , Luo H. , Wen S. . Photonic spin Hall effect in metasurfaces: A brief review. Nanophotonics, 2017, 6(1): 51 https://doi.org/10.1515/nanoph-2015-0155
Ling X. , Zhou X. , Huang K. , Liu Y. , Qiu C. , Luo H. , Wen S. . Recent advances in the spin Hall effect of light. Rep. Prog. Phys., 2017, 80(6): 066401 https://doi.org/10.1088/1361-6633/aa5397
Wesemann L. , J. Davis T. , Roberts A. . Meta-optical and thin film devices for all-optical information processing. Appl. Phys. Rev., 2021, 8(3): 031309 https://doi.org/10.1063/5.0048758
64
Huang J. , Zhu T. , Ruan Z. . Two-shot calibration method for phase-only spatial light modulators with generalized spatial differentiator. Phys. Rev. Appl., 2020, 14(5): 054040 https://doi.org/10.1103/PhysRevApplied.14.054040
65
He S. , Zhou J. , Chen S. , Shu W. , Luo H. , Wen S. . Spatial differential operation and edge detection based on the geometric spin Hall effect of light. Opt. Lett., 2020, 45(4): 877 https://doi.org/10.1364/OL.386224
66
Xu D. , He S. , Zhou J. , Chen S. , Wen S. , Luo H. . Optical analog computing of two-dimensional spatial differentiation based on the Brewster effect. Opt. Lett., 2020, 45(24): 6867 https://doi.org/10.1364/OL.413104
67
He S. , Wang R. , Xu W. , Luo Z. , Luo H. . Visualization of transparent particles based on optical spatial differentiation. Opt. Lett., 2022, 47(22): 5754 https://doi.org/10.1364/OL.468452
68
Zhu T. , Guo C. , Huang J. , Wang H. , Orenstein M. , Ruan Z. , Fan S. . Topological optical differentiator. Nat. Commun., 2021, 12(1): 680 https://doi.org/10.1038/s41467-021-20972-4
69
Chen S. , Li Z. , Liu W. , Cheng H. , Tian J. . From single‐dimensional to multidimensional manipulation of optical waves with metasurfaces. Adv. Mater., 2019, 31(16): 1802458 https://doi.org/10.1002/adma.201802458
70
Xu D. , Yang H. , Xu W. , Zhang W. , Zeng K. , Luo H. . Inverse design of Pancharatnam–Berry phase metasurfaces for all-optical image edge detection. Appl. Phys. Lett., 2022, 120(24): 241101 https://doi.org/10.1063/5.0090606
71
Shou Y. , Wang Y. , Miao L. , Chen S. , Luo H. . Realization of all-optical higher-order spatial differentiators based on cascaded operations. Opt. Lett., 2022, 47(22): 5981 https://doi.org/10.1364/OL.473988
72
Li T. , Yang Y. , Liu X. , Wu Y. , Zhou Y. , Huang S. , Li X. , Huang H. . Enhanced optical edge detection based on a Pancharatnam–Berry flat lens with a large focal length. Opt. Lett., 2020, 45(13): 3681 https://doi.org/10.1364/OL.395879
73
Kwon H. , Sounas D. , Cordaro A. , Polman A. , Alù A. . Nonlocal metasurfaces for optical signal processing. Phys. Rev. Lett., 2018, 121(17): 173004 https://doi.org/10.1103/PhysRevLett.121.173004
74
Komar A. , A. Aoni R. , Xu L. , Rahmani M. , E. Miroshnichenko A. , N. Neshev D. . Edge detection with Mie-resonant dielectric metasurfaces. ACS Photonics, 2021, 8(3): 864 https://doi.org/10.1021/acsphotonics.0c01874
75
Pan D. , Wan L. , Ouyang M. , Zhang W. , A. Potapov A. , Liu W. , Liang Z. , Feng T. , Li Z. . Laplace metasurfaces for optical analog computing based on quasi-bound states in the continuum. Photon. Res., 2021, 9(9): 1758 https://doi.org/10.1364/PRJ.426827
76
P. Laissue P. , A. Alghamdi R. , Tomancak P. , G. Reynaud E. , Shroff H. . Assessing phototoxicity in live fluorescence imaging. Nat. Methods, 2017, 14(7): 657 https://doi.org/10.1038/nmeth.4344
77
Wang R. , He S. , Chen S. , Luo H. . Brewster differential microscopy. Appl. Phys. Lett., 2022, 121(23): 231103 https://doi.org/10.1063/5.0131424
78
Kwon H. , Arbabi E. , M. Kamali S. , S. Faraji-Dana M. , Faraon A. . Single-shot quantitative phase gradient microscopy using a system of multifunctional metasurfaces. Nat. Photonics, 2020, 14(2): 109 https://doi.org/10.1038/s41566-019-0536-x
79
Engay E. , Huo D. , Malureanu R. , I. Bunea A. , Lavrinenko A. . Polarization-dependent all-dielectric metasurface for single-shot quantitative phase imaging. Nano Lett., 2021, 21(9): 3820 https://doi.org/10.1021/acs.nanolett.1c00190
80
Guo Y. , Pu M. , Zhang F. , Xu M. , Li X. , Ma X. , Luo X. . Classical and generalized geometric phase in electromagnetic metasurfaces. Photon. Insights, 2022, 1(1): R03 https://doi.org/10.3788/PI.2022.R03
81
Arbabi A. , Arbabi E. , M. Kamali S. , Horie Y. , Han S. , Faraon A. . Miniature optical planar camera based on a wide-angle metasurface doublet corrected for monochromatic aberrations. Nat. Commun., 2016, 7(1): 13682 https://doi.org/10.1038/ncomms13682
82
Arbabi E. , Li J. , J. Hutchins R. , M. Kamali S. , Arbabi A. , Horie Y. , Van Dorpe P. , Gradinaru V. , A. Wagenaar D. , Faraon A. . Two-photon microscopy with a double-wavelength metasurface objective lens. Nano Lett., 2018, 18(8): 4943 https://doi.org/10.1021/acs.nanolett.8b01737
83
Zhou J. , Wu Q. , Zhao J. , Posner C. , Lei M. , Chen G. , Zhang J. , Liu Z. . Fourier optical spin splitting microscopy. Phys. Rev. Lett., 2022, 129(2): 020801 https://doi.org/10.1103/PhysRevLett.129.020801
84
Zhao Q. , Tu S. , Lei Q. , Yue Q. , Guo C. , Cai Y. . Edge enhancement of phase objects through complex media by using transmission-matrix-based spiral phase contrast imaging. Front. Phys., 2022, 17(5): 52503 https://doi.org/10.1007/s11467-022-1169-y
85
Zhao M. , Liang X. , Li J. , Xie M. , Zheng H. , Zhong Y. , Yu J. , Zhang J. , Chen Z. , Zhu W. . Optical phase contrast microscopy with incoherent vortex phase. Laser Photonics Rev., 2022, 16(11): 2200230 https://doi.org/10.1002/lpor.202200230
86
Wolfgramm F. , Vitelli C. , A. Beduini F. , Godbout N. , W. Mitchell M. . Entanglement-enhanced probing of a delicate material system. Nat. Photonics, 2013, 7(1): 28 https://doi.org/10.1038/nphoton.2012.300
87
A. Taylor M. , Janousek J. , Daria V. , Knittel J. , Hage B. , A. Bachor H. , P. Bowen W. . Subdiffraction-limited quantum imaging within a living cell. Phys. Rev. X, 2014, 4(1): 011017 https://doi.org/10.1103/PhysRevX.4.011017
D. Lopaeva E. , Ruo Berchera I. , P. Degiovanni I. , Olivares S. , Brida G. , Genovese M. . Experimental realization of quantum illumination. Phys. Rev. Lett., 2013, 110(15): 153603 https://doi.org/10.1103/PhysRevLett.110.153603
90
Gregory T. , A. Moreau P. , Toninelli E. , J. Padgett M. . Imaging through noise with quantum illumination. Sci. Adv., 2020, 6(6): eaay2652 https://doi.org/10.1126/sciadv.aay2652
91
Ono T. , Okamoto R. , Takeuchi S. . An entanglement-enhanced microscope. Nat. Commun., 2013, 4(1): 2426 https://doi.org/10.1038/ncomms3426
92
N. Boto A. , Kok P. , S. Abrams D. , L. Braunstein S. , P. Williams C. , P. Dowling J. . Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit. Phys. Rev. Lett., 2000, 85(13): 2733 https://doi.org/10.1103/PhysRevLett.85.2733
G. England D. , Balaji B. , J. Sussman B. . Quantum-enhanced standoff detection using correlated photon pairs. Phys. Rev. A, 2019, 99(2): 023828 https://doi.org/10.1103/PhysRevA.99.023828
95
A. Moreau P. , Toninelli E. , Gregory T. , S. Aspden R. , A. Morris P. , J. Padgett M. . Imaging Bell-type nonlocal behavior. Sci. Adv., 2019, 5(7): eaaw2563 https://doi.org/10.1126/sciadv.aaw2563
96
Liu S. , Yang C. , Liu S. , Zhou Z. , Li Y. , Li Y. , Xu Z. , Guo G. , Shi B. . Up-conversion imaging processing with field-of-view and edge enhancement. Phys. Rev. Appl., 2019, 11(4): 044013 https://doi.org/10.1103/PhysRevApplied.11.044013
97
Liu S. , Li Y. , Liu S. , Zhou Z. , Li Y. , Yang C. , Guo G. , Shi B. . Real-time quantum edge enhanced imaging. Opt. Express, 2020, 28(24): 35415 https://doi.org/10.1364/OE.395910
Israel Y. , Rosen S. , Silberberg Y. . Supersensitive polarization microscopy using NOON states of light. Phys. Rev. Lett., 2014, 112(10): 103604 https://doi.org/10.1103/PhysRevLett.112.103604
100
A. Morris P. , S. Aspden R. , E. C. Bell J. , W. Boyd R. , J. Padgett M. . Imaging with a small number of photons. Nat. Commun., 2015, 6(1): 5913 https://doi.org/10.1038/ncomms6913
101
Samantaray N. , Ruo-Berchera I. , Meda A. , Genovese M. . Realization of the first sub-shot-noise wide field microscope. Light Sci. Appl., 2017, 6(7): e17005 https://doi.org/10.1038/lsa.2017.5
102
Kviatkovsky I. , M. Chrzanowski H. , G. Avery E. , Bartolomaeus H. , Ramelow S. . Microscopy with undetected photons in the mid-infrared. Sci. Adv., 2020, 6(42): eabd0264 https://doi.org/10.1126/sciadv.abd0264
103
A. Casacio C. , S. Madsen L. , Terrasson A. , Waleed M. , Barnscheidt K. , Hage B. , A. Taylor M. , P. Bowen W. . Quantum-enhanced nonlinear microscopy. Nature, 2021, 594(7862): 201 https://doi.org/10.1038/s41586-021-03528-w
Frischwasser K. , Cohen K. , Kher-Alden J. , Dolev S. , Tsesses S. , Bartal G. . Real-time sub-wavelength imaging of surface waves with nonlinear near-field optical microscopy. Nat. Photonics, 2021, 15(6): 442 https://doi.org/10.1038/s41566-021-00782-2
106
E. Villegas-Hernández L. , Dubey V. , Nystad M. , C. Tinguely J. , A. Coucheron D. , T. Dullo F. , Priyadarshi A. , Acuña S. , Ahmad A. , M. Mateos J. , Barmettler G. , Ziegler U. , B. Birgisdottir Å. , M. K. Hovd A. , A. Fenton K. , Acharya G. , Agarwal K. , S. Ahluwalia B. . Chip-based multimodal super-resolution microscopy for histological investigations of cryopreserved tissue sections. Light Sci. Appl., 2022, 11(1): 43 https://doi.org/10.1038/s41377-022-00731-w
107
Li J. , Zhou N. , Sun J. , Zhou S. , Bai Z. , Lu L. , Chen Q. , Zuo C. . Transport of intensity diffraction tomography with non-interferometric synthetic aperture for three-dimensional label-free microscopy. Light Sci. Appl., 2022, 11(1): 154 https://doi.org/10.1038/s41377-022-00815-7
108
A. Moreau P. , Toninelli E. , Gregory T. , J. Padgett M. . Imaging with quantum states of light. Nat. Rev. Phys., 2019, 1(6): 367 https://doi.org/10.1038/s42254-019-0056-0
109
G. Basset M. , Setzpfandt F. , Steinlechner F. , Beckert E. , Pertsch T. , Gräfe M. . Perspectives for applications of quantum imaging. Laser Photonics Rev., 2019, 13(10): 1900097 https://doi.org/10.1002/lpor.201900097
110
Varnavski O. , Gunthardt C. , Rehman A. , D. Luker G. , Goodson T. . Quantum light-enhanced two-photon imaging of breast cancer cells. J. Phys. Chem. Lett., 2022, 13(12): 2772 https://doi.org/10.1021/acs.jpclett.2c00695
111
V. Paterova A. , Yang H. , S. D. Toa Z. , A. Krivitsky L. . Quantum imaging for the semiconductor industry. Appl. Phys. Lett., 2020, 117(5): 054004 https://doi.org/10.1063/5.0015614
Wu J. , Lin X. , Guo Y. , Liu J. , Fang L. , Jiao S. , Dai Q. . Analog optical computing for artificial intelligence. Engineering, 2021, 10(1): 133 https://doi.org/10.1016/j.eng.2021.06.021
114
K. Chen M. , Yan Y. , Liu X. , Wu Y. , Zhang J. , Yuan J. , Zhang Z. , P. Tsai D. . Edge detection with meta-lens: From one dimension to three dimensions. Nanophotonics, 2021, 10(14): 3709 https://doi.org/10.1515/nanoph-2021-0239
