Abstract

Ghost imaging, based on single-pixel detection and multiple pattern illumination, is a crucial investigative tool in difficult-to-access wavelength regions. In the terahertz domain, where high-resolution imagers are mostly unavailable, ghost imaging is an optimal approach to embed the temporal dimension, creating a “hyperspectral” imager. In this framework, high resolution is mostly out of reach. Hence, it is particularly critical to developing practical approaches for microscopy. Here we experimentally demonstrate time-resolved nonlinear ghost imaging, a technique based on near-field, optical-to-terahertz nonlinear conversion and detection of illumination patterns. We show how space–time coupling affects near-field time-domain imaging, and we develop a complete methodology that overcomes fundamental systematic reconstruction issues. Our theoretical-experimental platform enables high-fidelity subwavelength imaging and carries relaxed constraints on the nonlinear generation crystal thickness. Our work establishes a rigorous framework to reconstruct hyperspectral images of complex samples inaccessible through standard fixed-time methods.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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  51. https://doi.org/10.6084/m9.figshare.c.4829289

2019 (9)

L. Li, H. Ruan, C. Liu, Y. Li, Y. Shuang, A. Alù, C.-W. Qiu, and T. J. Cui, “Machine-learning reprogrammable metasurface imager,” Nat. Commun. 10, 1082 (2019).
[Crossref]

X. Hadoux, F. Hui, J. K. H. Lim, C. L. Masters, A. Pébay, S. Chevalier, J. Ha, S. Loi, C. J. Fowler, C. Rowe, V. L. Villemagne, E. N. Taylor, C. Fluke, J.-P. Soucy, F. Lesage, J.-P. Sylvestre, P. Rosa-Neto, S. Mathotaarachchi, S. Gauthier, Z. S. Nasreddine, J. D. Arbour, M.-A. Rhéaume, S. Beaulieu, M. Dirani, C. T. O. Nguyen, B. V. Bui, R. Williamson, J. G. Crowston, and P. van Wijngaarden, “Non-invasive in vivo hyperspectral imaging of the retina for potential biomarker use in Alzheimer’s disease,” Nat. Commun. 10, 4227 (2019).
[Crossref]

F. Yesilkoy, E. R. Arvelo, Y. Jahani, M. Liu, A. Tittl, V. Cevher, Y. Kivshar, and H. Altug, “Ultrasensitive hyperspectral imaging and biodetection enabled by dielectric metasurfaces,” Nat. Photonics 13, 390–396 (2019).
[Crossref]

H. Wu, P. Ryczkowski, A. T. Friberg, J. M. Dudley, and G. Genty, “Temporal ghost imaging using wavelength conversion and two-color detection,” Optica 6, 902–906 (2019).
[Crossref]

H. Defienne, M. Reichert, J. W. Fleischer, and D. Faccio, “Quantum image distillation,” Sci. Adv. 5, eaax0307 (2019).
[Crossref]

P. Caramazza, O. Moran, R. Murray-Smith, and D. Faccio, “Transmission of natural scene images through a multimode fibre,” Nat. Commun. 10, 1–6 (2019).
[Crossref]

A. Lyons, F. Tonolini, A. Boccolini, A. Repetti, R. Henderson, Y. Wiaux, and D. Faccio, “Computational time-of-flight diffuse optical tomography,” Nat. Photonics 13, 575–579 (2019).
[Crossref]

S.-C. Chen, L.-H. Du, K. Meng, J. Li, Z.-H. Zhai, Q.-W. Shi, Z.-R. Li, and L.-G. Zhu, “Terahertz wave near-field compressive imaging with a spatial resolution of over λ/100,” Opt. Lett. 44, 21–24 (2019).
[Crossref]

J. Zhao, E. Yiwen, K. Williams, X.-C. Zhang, and R. W. Boyd, “Spatial sampling of terahertz fields with sub-wavelength accuracy via probe-beam encoding,” Light Sci. Appl. 8, 55 (2019).
[Crossref]

2018 (9)

L. Olivieri, J. S. Totero Gongora, A. Pasquazi, and M. Peccianti, “Time-resolved nonlinear ghost imaging,” ACS Photon. 5, 3379–3388 (2018).
[Crossref]

H. Guerboukha, K. Nallappan, and M. Skorobogatiy, “Exploiting k-space/frequency duality toward real-time terahertz imaging,” Optica 5, 109–116 (2018).
[Crossref]

L. Peters, J. Tunesi, A. Pasquazi, and M. Peccianti, “High-energy terahertz surface optical rectification,” Nano Energy 46, 128–132 (2018).
[Crossref]

R. I. Stantchev, J. C. Mansfield, R. S. Edginton, P. Hobson, F. Palombo, and E. Hendry, “Subwavelength hyperspectral THz studies of articular cartilage,” Sci. Rep. 8, 6924 (2018).
[Crossref]

C. Amiot, P. Ryczkowski, A. T. Friberg, J. M. Dudley, and G. Genty, “Supercontinuum spectral-domain ghost imaging,” Opt. Lett. 43, 5025–5028 (2018).
[Crossref]

Y. Altmann, S. McLaughlin, M. J. Padgett, V. K. Goyal, A. O. Hero, and D. Faccio, “Quantum-inspired computational imaging,” Science 361, eaat2298 (2018).
[Crossref]

M. Unternährer, B. Bessire, L. Gasparini, M. Perenzoni, and A. Stefanov, “Super-resolution quantum imaging at the Heisenberg limit,” Optica 5, 1150–1154 (2018).
[Crossref]

A. V. Diebold, M. F. Imani, T. Sleasman, and D. R. Smith, “Phaseless coherent and incoherent microwave ghost imaging with dynamic metasurface apertures,” Optica 5, 1529–1541 (2018).
[Crossref]

Y. Rivenson, Y. Zhang, H. Günaydın, D. Teng, and A. Ozcan, “Phase recovery and holographic image reconstruction using deep learning in neural networks,” Light Sci. Appl. 7, 17141 (2018).
[Crossref]

2017 (5)

I. N. Papadopoulos, J.-S. Jouhanneau, J. F. A. Poulet, and B. Judkewitz, “Scattering compensation by focus scanning holographic aberration probing (F-SHARP),” Nat. Photonics 11, 116–123 (2017).
[Crossref]

I. Amenabar, S. Poly, M. Goikoetxea, W. Nuansing, P. Lasch, and R. Hillenbrand, “Hyperspectral infrared nanoimaging of organic samples based on Fourier transform infrared nanospectroscopy,” Nat. Commun. 8, 14402 (2017).
[Crossref]

D. B. Phillips, M.-J. Sun, J. M. Taylor, M. P. Edgar, S. M. Barnett, G. M. Gibson, and M. J. Padgett, “Adaptive foveated single-pixel imaging with dynamic supersampling,” Sci. Adv. 3, e1601782 (2017).
[Crossref]

R. I. Stantchev, D. B. Phillips, P. Hobson, S. M. Hornett, M. J. Padgett, and E. Hendry, “Compressed sensing with near-field THz radiation,” Optica 4, 989–992 (2017).
[Crossref]

M.-J. Sun, L.-T. Meng, M. P. Edgar, M. J. Padgett, and N. Radwell, “A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging,” Sci. Rep. 7, 3464 (2017).
[Crossref]

2016 (3)

R. I. Stantchev, B. Sun, S. M. Hornett, P. A. Hobson, G. M. Gibson, M. J. Padgett, and E. Hendry, “Noninvasive, near-field terahertz imaging of hidden objects using a single-pixel detector,” Sci. Adv. 2, e1600190 (2016).
[Crossref]

T. Seifert, S. Jaiswal, U. Martens, J. Hannegan, L. Braun, P. Maldonado, F. Freimuth, A. Kronenberg, J. Henrizi, I. Radu, E. Beaurepaire, Y. Mokrousov, P. M. Oppeneer, M. Jourdan, G. Jakob, D. Turchinovich, L. M. Hayden, M. Wolf, M. Münzenberg, M. Kläui, and T. Kampfrath, “Efficient metallic spintronic emitters of ultrabroadband terahertz radiation,” Nat. Photonics 10, 483–488 (2016).
[Crossref]

A. P. Spencer, B. Spokoyny, S. Ray, F. Sarvari, and E. Harel, “Mapping multidimensional electronic structure and ultrafast dynamics with single-element detection and compressive sensing,” Nat. Commun. 7, 10434 (2016).
[Crossref]

2015 (2)

W. Jahr, B. Schmid, C. Schmied, F. O. Fahrbach, and J. Huisken, “Hyperspectral light sheet microscopy,” Nat. Commun. 6, 7990 (2015).
[Crossref]

C. Errico, J. Pierre, S. Pezet, Y. Desailly, Z. Lenkei, O. Couture, and M. Tanter, “Ultrafast ultrasound localization microscopy for deep super-resolution vascular imaging,” Nature 527, 499–502 (2015).
[Crossref]

2014 (4)

G. Lu and B. Fei, “Medical hyperspectral imaging: a review,” J. Biomed. Opt. 19, 010901 (2014).
[Crossref]

C. M. Watts, D. Shrekenhamer, J. Montoya, G. Lipworth, J. Hunt, T. Sleasman, S. Krishna, D. R. Smith, and W. J. Padilla, “Terahertz compressive imaging with metamaterial spatial light modulators,” Nat. Photonics 8, 605–609 (2014).
[Crossref]

C. Vicario, B. Monoszlai, and C. P. Hauri, “GV/m single-cycle terahertz fields from a laser-driven large-size partitioned organic crystal,” Phys. Rev. Lett. 112, 213901 (2014).
[Crossref]

C. Vicario, A. V. Ovchinnikov, S. I. Ashitkov, M. B. Agranat, V. E. Fortov, and C. P. Hauri, “Generation of 0.9-mJ THz pulses in DSTMS pumped by a Cr:Mg2SiO4 laser,” Opt. Lett. 39, 6632–6635 (2014).
[Crossref]

2013 (2)

M. Peccianti, M. Clerici, A. Pasquazi, L. Caspani, S. P. Ho, F. Buccheri, J. Ali, A. Busacca, T. Ozaki, and R. Morandotti, “Exact reconstruction of THz sub-lambda source features in knife-edge measurements,” IEEE J. Sel. Top. Quantum Electron. 19, 8401211 (2013).
[Crossref]

B. Sun, M. P. Edgar, R. Bowman, L. E. Vittert, S. Welsh, A. Bowman, and M. J. Padgett, “3D computational imaging with single-pixel detectors,” Science 340, 844–847 (2013).
[Crossref]

2012 (1)

J. Bertolotti, E. G. van Putten, C. Blum, A. Lagendijk, W. L. Vos, and A. P. Mosk, “Non-invasive imaging through opaque scattering layers,” Nature 491, 232–234 (2012).
[Crossref]

2010 (1)

N. Horiuchi, “Terahertz technology: endless applications,” Nat. Photonics 4, 140 (2010).
[Crossref]

2009 (2)

Y. Bromberg, O. Katz, and Y. Silberberg, “Ghost imaging with a single detector,” Phys. Rev. A 79, 053840 (2009).
[Crossref]

D. Bannon, “Cubes and slices,” Nat. Photonics 3, 627–629 (2009).
[Crossref]

2008 (2)

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, “A single-pixel terahertz imaging system based on compressed sensing,” Appl. Phys. Lett. 93, 121105 (2008).
[Crossref]

J. H. Shapiro, “Computational ghost imaging,” Phys. Rev. A 78, 061802R (2008).
[Crossref]

2007 (2)

A. A. Gowen, “Hyperspectral imaging: an emerging process analytical tool for food quality and safety control,” Trends Food Sci. Technol. 18, 590–598 (2007).
[Crossref]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, “Focusing beyond the diffraction limit with far-field time reversal,” Science 315, 1120–1122 (2007).
[Crossref]

2004 (1)

T. Yuan, J. Z. Xu, and X.-C. Zhang, “Development of terahertz wave microscopes,” Infrared Phys. Technol. 45, 417–425 (2004).
[Crossref]

2002 (2)

R. S. Bennink, S. J. Bentley, and R. W. Boyd, “Two-photon” coincidence imaging with a classical source,” Phys. Rev. Lett. 89, 113601 (2002).
[Crossref]

L. Borcea, G. Papanicolaou, C. Tsogka, and J. Berryman, “Imaging and time reversal in random media,” Inverse Probl. 18, 1247–1279 (2002).
[Crossref]

1995 (1)

1991 (1)

D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and A. Et, “Optical coherence tomography,” Science 254, 1178–1181 (1991).
[Crossref]

1989 (1)

Ch. Fattinger and D. Grischkowsky, “Terahertz beams,” Appl. Phys. Lett. 54, 490–492 (1989).
[Crossref]

1988 (1)

D. H. Auston and M. C. Nuss, “Electrooptical generation and detection of femtosecond electrical transients,” IEEE J. Quantum Electron. 24, 184–197 (1988).
[Crossref]

Abbott, D.

X. Yin, B. W.-H. Ng, and D. Abbott, Terahertz Imaging for Biomedical Applications: Pattern Recognition and Tomographic Reconstruction (Springer, 2012).

Agranat, M. B.

Ali, J.

M. Peccianti, M. Clerici, A. Pasquazi, L. Caspani, S. P. Ho, F. Buccheri, J. Ali, A. Busacca, T. Ozaki, and R. Morandotti, “Exact reconstruction of THz sub-lambda source features in knife-edge measurements,” IEEE J. Sel. Top. Quantum Electron. 19, 8401211 (2013).
[Crossref]

Altmann, Y.

Y. Altmann, S. McLaughlin, M. J. Padgett, V. K. Goyal, A. O. Hero, and D. Faccio, “Quantum-inspired computational imaging,” Science 361, eaat2298 (2018).
[Crossref]

Altug, H.

F. Yesilkoy, E. R. Arvelo, Y. Jahani, M. Liu, A. Tittl, V. Cevher, Y. Kivshar, and H. Altug, “Ultrasensitive hyperspectral imaging and biodetection enabled by dielectric metasurfaces,” Nat. Photonics 13, 390–396 (2019).
[Crossref]

Alù, A.

L. Li, H. Ruan, C. Liu, Y. Li, Y. Shuang, A. Alù, C.-W. Qiu, and T. J. Cui, “Machine-learning reprogrammable metasurface imager,” Nat. Commun. 10, 1082 (2019).
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https://doi.org/10.6084/m9.figshare.c.4829289

Supplementary Material (1)

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Figures (4)

Fig. 1.
Fig. 1. Conceptual description of the TNGI approach. (a) Key experimental components and methodology; (b) volumetric representation of the nonlinear generation of THz patterns; (c) fixed-time reconstruction with a field of view ${2}\;{\rm mm} \times {2}\;{\rm mm}$ and ${32} \times {32}$ spatial sampling; (d) backpropagated hyperspectral image, averaged between 1 and 2 THz.
Fig. 2.
Fig. 2. Spatiotemporal image of a metallic sample. (a) Temporal response of the metallic sample with fixed-time image reconstructions. It is worth noting that field evolution (color change) can be appreciated underneath the metallic mask as the structure resonance produces a secondary emission. (b) Spectral response with hyperspectral images. The field of view was ${2}\;{\rm mm}\; \times \;{2}\;{\rm mm}$ with a ${16} \times {16}$ spatial sampling.
Fig. 3.
Fig. 3. Hyperspectral image of a leaf. (a) Optical image of the leaf; (b) microscope image; (c) temporal response of the field transmitted by the leaf; (d) fixed-time reconstruction (${128}\;{\rm pixels} \times {128}\;{\rm pixels}$); (e) local temporal response of the fresh leaf in the points indicated in (b); (f) hyperspectral image of a fresh leaf at 1.5 THz (${16}\;{\rm pixels} \times {16}\;{\rm pixels}$); (g) phase image of the fresh leaf, obtained without phase unwrapping of the experimental data; (h)–(j) same as the previous panel for a dried leaf (${32}\;{\rm pixel} \times {32}\;{\rm pixel}$ images). All the images correspond to a field of view of ${4}\;{\rm mm} \times {4}\;{\rm mm}$.
Fig. 4.
Fig. 4. Time-resolved image reconstruction: inverse propagation approach. (a) Conceptual illustration of the propagating imaging scheme: the sample is placed at ${z_0} = {300}\;\unicode{x00B5}{\rm m}$ from the crystal. (b) Temporal response of the sample; (c)–(d) fixed-time reconstructed images at the points indicated in (b); (e) hyperspectral image averaged between 1 and 2 THz; (f) conceptual illustration of the backpropagation scheme; (g) temporal response of the backpropagated image (green) and the temporal response without the sample (gray); (h)–(i) fixed-time reconstruction of the backpropagated image at the points indicated in (g); (j) backpropagated hyperspectral image, averaged between 1 and 2 THz. In all panels, the field of view was ${2}\;{\rm mm} \times {2}\;{\rm mm}$ with a ${32} \times {32}$ spatial sampling.

Equations (3)

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T s a m p l e ( x , y , t ) = C n ( t ) I n ( x , y ) n C n ( t ) n I n ( x , y ) n ,
C n ( t ) = E n + ( x , y , t ) d x d y ,
E T H z ( x , y ) χ ( 2 ) I n ( x , y ) ,

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