Abstract

Multimodal microscopes either use multiple cameras or a single camera to multiplex different modes spatially. The former needs expertise demanding alignment and the latter suffers from limited spatial resolution. Here, we report an alignment-free full-resolution simultaneous fluorescence and phase imaging approach using single-pixel detectors. By combining reference-free interferometry with single-pixel imaging scheme, we employ structured illumination to encode the phase and fluorescence of the sample into two single-pixel detection arms, and then conduct reconstruction computationally from the illumination patterns and recorded correlated measurements. The recovered fluorescence and phase images are inherently aligned thanks to single-pixel imaging scheme. To validate the proposed method, we built a proof-of-concept setup for first imaging the phase of an etched glass with given etching depth and then imaging the phase and fluorescence of the quantum dot sample. This method holds great potential for multispectral fluorescence microscopy with additional single-pixel detectors or a spectrometer. Besides, this cost-efficient multimodal system might find broad applications in biomedical science and material science.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2018 (4)

Z. Zhang, S. Liu, J. Peng, M. Yao, G. Zheng, and J. Zhong, “Simultaneous spatial, spectral, and 3D compressive imaging via efficient Fourier single-pixel measurements,” Optica 5, 315–319 (2018).
[Crossref]

P. A. Stockton, J. J. Field, and R. A. Bartels, “Single pixel quantitative phase imaging with spatial frequency projections,” Methods 136, 24–34 (2018).
[Crossref]

S. Shin, K. Lee, Y. Baek, and Y. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. Appl.  9, 044042 (2018).
[Crossref]

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

2017 (8)

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]

Y. Wang, Y. Liu, J. Suo, G. Situ, C. Qiao, and Q. Dai, “High speed computational ghost imaging via spatial sweeping,” Sci Rep 7, 45325 (2017).
[Crossref] [PubMed]

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] [PubMed]

L. Martínez-León, P. Clemente, Y. Mori, V. Climent, J. Lancis, and E. Tajahuerce, “Single-pixel digital holography with phase-encoded illumination,” Opt. Express 25, 4975–4984 (2017).
[Crossref] [PubMed]

Z. Zhang, X. Wang, G. Zheng, and J. Zhong, “Hadamard single-pixel imaging versus Fourier single-pixel imaging,” Opt. Express 25, 19619–19639 (2017).
[Crossref] [PubMed]

S. Chowdhury, W. J. Eldridge, A. Wax, and J. A. Izatt, “Structured illumination multimodal 3D-resolved quantitative phase and fluorescence sub-diffraction microscopy,” Biomed. Opt. Express 8, 2496–2518 (2017).
[Crossref] [PubMed]

Z. Li, J. Suo, X. Hu, C. Deng, J. Fan, and Q. Dai, “Efficient single-pixel multispectral imaging via non-mechanical spatio-spectral modulation,” Sci Rep 7, 41435 (2017).
[Crossref] [PubMed]

Q. Pian, R. Yao, N. Sinsuebphon, and X. Intes, “Compressive hyperspectral time-resolved wide-field fluorescence lifetime imaging,” Nat. Photonics 11, 411–414 (2017).
[Crossref] [PubMed]

2016 (6)

L. Bian, J. Suo, G. Situ, Z. Li, J. Fan, F. Chen, and Q. Dai, “Multispectral imaging using a single bucket detector,” Sci Rep 6, 24752 (2016).
[Crossref] [PubMed]

Y. Wang, J. Suo, J. Fan, and Q. Dai, “Hyperspectral computational ghost imaging via temporal multiplexing,” IEEE Photonics Technol. Lett. 28, 288–291 (2016).
[Crossref]

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] [PubMed]

H. Yu, R. Lu, S. Han, H. Xie, G. Du, T. Xiao, and D. Zhu, “Fourier-transform ghost imaging with hard X rays,” Phys. Rev. Lett. 117, 113901 (2016).
[Crossref] [PubMed]

D. Pelliccia, A. Rack, M. Scheel, V. Cantelli, and D. M. Paganin, “Experimental X-ray ghost imaging,” Phys. Rev. Lett. 117, 113902 (2016).
[Crossref] [PubMed]

Z. Li, J. Suo, X. Hu, and Q. Dai, “Content-adaptive ghost imaging of dynamic scenes,” Opt. Express 24, 7328–7336 (2016).
[Crossref] [PubMed]

2015 (3)

Z. Zhang, X. Ma, and J. Zhong, “Single-pixel imaging by means of Fourier spectrum acquisition,” Nat Commun 6, 6225 (2015).
[Crossref] [PubMed]

M. P. Edgar, G. M. Gibson, R. W. Bowman, B. Sun, N. Radwell, K. J. Mitchell, S. S. Welsh, and M. J. Padgett, “Simultaneous real-time visible and infrared video with single-pixel detectors,” Sci Rep 5, 10669 (2015).
[Crossref] [PubMed]

S. Chowdhury, W. J. Eldridge, A. Wax, and J. A. Izatt, “Spatial frequency-domain multiplexed microscopy for simultaneous, single-camera, one-shot, fluorescent, and quantitative-phase imaging,” Opt Lett 40, 4839–4842 (2015).
[Crossref] [PubMed]

2014 (3)

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1, 285–289 (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]

S. A. Goorden, J. Bertolotti, and A. P. Mosk, “Superpixel-based spatial amplitude and phase modulation using a digital micromirror device,” Opt Express 22, 17999–18009 (2014).
[Crossref] [PubMed]

2013 (4)

P. Clemente, V. Durán, E. Tajahuerce, P. Andres, V. Climent, and J. Lancis, “Compressive holography with a single-pixel detector,” Opt Lett 38, 2524–2527 (2013).
[Crossref] [PubMed]

S. S. Welsh, M. P. Edgar, R. Bowman, P. Jonathan, B. Sun, and M. J. Padgett, “Fast full-color computational imaging with single-pixel detectors,” Opt Express 21, 23068–23074 (2013).
[Crossref] [PubMed]

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] [PubMed]

M. Abetamann and M. Bayer, “Compressive adaptive computational ghost imaging,” Sci Rep 3, 1545 (2013).
[Crossref] [PubMed]

2012 (2)

V. Studer, J. Bobin, M. Chahid, H. S. Mousavi, E. Candes, and M. Dahan, “Compressive fluorescence microscopy for biological and hyperspectral imaging,” Proc Natl Acad Sci U S A 109, E1679–E1687 (2012).
[Crossref] [PubMed]

P. Clemente, V. Durán, E. Tajahuerce, V. Torres-Company, and J. Lancis, “Single-pixel digital ghost holography,” Phys. Rev. A 86, 041803 (2012).
[Crossref]

2010 (1)

T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4, 388–394 (2010).
[Crossref]

2008 (1)

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, S. Ting, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25, 83–91 (2008).
[Crossref]

2006 (4)

Y. Park, G. Popescu, K. Badizadegan, R. R. Dasari, and M. S. Feld, “Diffraction phase and fluorescence microscopy,” Opt. Express 14, 8263–8268 (2006).
[Crossref] [PubMed]

E. J. Candès and T. Tao, “Near-optimal signal recovery from random projections: Universal encoding strategies?” IEEE Transactions on Inf. Theory 52, 5406–5425 (2006).
[Crossref]

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Inf. Theory 52, 489–509 (2006).
[Crossref]

G. Popescu, T. Ikeda, R. R. Dasari, and M. S. Feld, “Diffraction phase microscopy for quantifying cell structure and dynamics,” Opt. Lett. 31, 775–777 (2006).
[Crossref] [PubMed]

2005 (1)

P. Sen, B. Chen, G. Garg, S. R. Marschner, M. Horowitz, M. Levoy, and H. P. A. Lensch, “Dual photography,” ACM Transactions on Graph. (TOG) 24, 745–755 (2005).
[Crossref]

2004 (1)

K. C. Neuman and S. M. Block, “Optical trapping,” Rev Sci Instrum 75, 2787–2809 (2004).
[Crossref]

1988 (1)

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: Two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[Crossref]

1978 (1)

W.-H. Lee, “III computer-generated holograms: Techniques and applications,” Prog. Opt. 16, 119–232 (1978).
[Crossref]

1974 (1)

1966 (1)

Abetamann, M.

M. Abetamann and M. Bayer, “Compressive adaptive computational ghost imaging,” Sci Rep 3, 1545 (2013).
[Crossref] [PubMed]

Andres, P.

P. Clemente, V. Durán, E. Tajahuerce, P. Andres, V. Climent, and J. Lancis, “Compressive holography with a single-pixel detector,” Opt Lett 38, 2524–2527 (2013).
[Crossref] [PubMed]

Araiza-Esquivel, M.

H. GonzDuránlez, L. Martínez-León, F. Soldevila, M. Araiza-Esquivel, E. Tajahuerce, and J. Lancis, “High-speed single-pixel digital holography,” in SPIE Optical Metrology, vol. 10333P. Ferraro, S. Grilli, M. Ritsch-Marte, and C. K. Hitzenberger, eds. (SPIE, 2017), p. 103330G.

Badizadegan, K.

Baek, Y.

S. Shin, K. Lee, Y. Baek, and Y. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. Appl.  9, 044042 (2018).
[Crossref]

Baraniuk, R. G.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, S. Ting, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25, 83–91 (2008).
[Crossref]

Barnett, S. M.

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] [PubMed]

Bartels, R. A.

P. A. Stockton, J. J. Field, and R. A. Bartels, “Single pixel quantitative phase imaging with spatial frequency projections,” Methods 136, 24–34 (2018).
[Crossref]

Bayer, M.

M. Abetamann and M. Bayer, “Compressive adaptive computational ghost imaging,” Sci Rep 3, 1545 (2013).
[Crossref] [PubMed]

Bertolotti, J.

S. A. Goorden, J. Bertolotti, and A. P. Mosk, “Superpixel-based spatial amplitude and phase modulation using a digital micromirror device,” Opt Express 22, 17999–18009 (2014).
[Crossref] [PubMed]

Bian, L.

L. Bian, J. Suo, G. Situ, Z. Li, J. Fan, F. Chen, and Q. Dai, “Multispectral imaging using a single bucket detector,” Sci Rep 6, 24752 (2016).
[Crossref] [PubMed]

Block, S. M.

K. C. Neuman and S. M. Block, “Optical trapping,” Rev Sci Instrum 75, 2787–2809 (2004).
[Crossref]

Bobin, J.

V. Studer, J. Bobin, M. Chahid, H. S. Mousavi, E. Candes, and M. Dahan, “Compressive fluorescence microscopy for biological and hyperspectral imaging,” Proc Natl Acad Sci U S A 109, E1679–E1687 (2012).
[Crossref] [PubMed]

Bowman, A.

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] [PubMed]

Bowman, R.

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1, 285–289 (2014).
[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] [PubMed]

S. S. Welsh, M. P. Edgar, R. Bowman, P. Jonathan, B. Sun, and M. J. Padgett, “Fast full-color computational imaging with single-pixel detectors,” Opt Express 21, 23068–23074 (2013).
[Crossref] [PubMed]

Bowman, R. W.

M. P. Edgar, G. M. Gibson, R. W. Bowman, B. Sun, N. Radwell, K. J. Mitchell, S. S. Welsh, and M. J. Padgett, “Simultaneous real-time visible and infrared video with single-pixel detectors,” Sci Rep 5, 10669 (2015).
[Crossref] [PubMed]

Brown, B. R.

Candes, E.

V. Studer, J. Bobin, M. Chahid, H. S. Mousavi, E. Candes, and M. Dahan, “Compressive fluorescence microscopy for biological and hyperspectral imaging,” Proc Natl Acad Sci U S A 109, E1679–E1687 (2012).
[Crossref] [PubMed]

Candès, E. J.

E. J. Candès and T. Tao, “Near-optimal signal recovery from random projections: Universal encoding strategies?” IEEE Transactions on Inf. Theory 52, 5406–5425 (2006).
[Crossref]

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Inf. Theory 52, 489–509 (2006).
[Crossref]

Cantelli, V.

D. Pelliccia, A. Rack, M. Scheel, V. Cantelli, and D. M. Paganin, “Experimental X-ray ghost imaging,” Phys. Rev. Lett. 117, 113902 (2016).
[Crossref] [PubMed]

Chahid, M.

V. Studer, J. Bobin, M. Chahid, H. S. Mousavi, E. Candes, and M. Dahan, “Compressive fluorescence microscopy for biological and hyperspectral imaging,” Proc Natl Acad Sci U S A 109, E1679–E1687 (2012).
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S. Shin, K. Lee, Y. Baek, and Y. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. Appl.  9, 044042 (2018).
[Crossref]

Y. Park, G. Popescu, K. Badizadegan, R. R. Dasari, and M. S. Feld, “Diffraction phase and fluorescence microscopy,” Opt. Express 14, 8263–8268 (2006).
[Crossref] [PubMed]

Pawley, J.

J. Pawley, Handbook of Biological Confocal Microscopy(SpringerUS, 2006).

Pelliccia, D.

D. Pelliccia, A. Rack, M. Scheel, V. Cantelli, and D. M. Paganin, “Experimental X-ray ghost imaging,” Phys. Rev. Lett. 117, 113902 (2016).
[Crossref] [PubMed]

Peng, J.

Phillips, D. B.

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] [PubMed]

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]

Pian, Q.

Q. Pian, R. Yao, N. Sinsuebphon, and X. Intes, “Compressive hyperspectral time-resolved wide-field fluorescence lifetime imaging,” Nat. Photonics 11, 411–414 (2017).
[Crossref] [PubMed]

Popescu, G.

Qiao, C.

Y. Wang, Y. Liu, J. Suo, G. Situ, C. Qiao, and Q. Dai, “High speed computational ghost imaging via spatial sweeping,” Sci Rep 7, 45325 (2017).
[Crossref] [PubMed]

Rack, A.

D. Pelliccia, A. Rack, M. Scheel, V. Cantelli, and D. M. Paganin, “Experimental X-ray ghost imaging,” Phys. Rev. Lett. 117, 113902 (2016).
[Crossref] [PubMed]

Radwell, N.

M. P. Edgar, G. M. Gibson, R. W. Bowman, B. Sun, N. Radwell, K. J. Mitchell, S. S. Welsh, and M. J. Padgett, “Simultaneous real-time visible and infrared video with single-pixel detectors,” Sci Rep 5, 10669 (2015).
[Crossref] [PubMed]

N. Radwell, K. J. Mitchell, G. M. Gibson, M. P. Edgar, R. Bowman, and M. J. Padgett, “Single-pixel infrared and visible microscope,” Optica 1, 285–289 (2014).
[Crossref]

Romberg, J.

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Inf. Theory 52, 489–509 (2006).
[Crossref]

Sato, I.

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

Scheel, M.

D. Pelliccia, A. Rack, M. Scheel, V. Cantelli, and D. M. Paganin, “Experimental X-ray ghost imaging,” Phys. Rev. Lett. 117, 113902 (2016).
[Crossref] [PubMed]

Sen, P.

P. Sen, B. Chen, G. Garg, S. R. Marschner, M. Horowitz, M. Levoy, and H. P. A. Lensch, “Dual photography,” ACM Transactions on Graph. (TOG) 24, 745–755 (2005).
[Crossref]

Setoyama, K.

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

Shin, S.

S. Shin, K. Lee, Y. Baek, and Y. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. Appl.  9, 044042 (2018).
[Crossref]

Shrekenhamer, D.

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]

Sinsuebphon, N.

Q. Pian, R. Yao, N. Sinsuebphon, and X. Intes, “Compressive hyperspectral time-resolved wide-field fluorescence lifetime imaging,” Nat. Photonics 11, 411–414 (2017).
[Crossref] [PubMed]

Situ, G.

Y. Wang, Y. Liu, J. Suo, G. Situ, C. Qiao, and Q. Dai, “High speed computational ghost imaging via spatial sweeping,” Sci Rep 7, 45325 (2017).
[Crossref] [PubMed]

L. Bian, J. Suo, G. Situ, Z. Li, J. Fan, F. Chen, and Q. Dai, “Multispectral imaging using a single bucket detector,” Sci Rep 6, 24752 (2016).
[Crossref] [PubMed]

Sleasman, T.

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]

Sloane, N. J. A.

M. Harwit and N. J. A. Sloane, Hadamard transform optics(Elsevier, 1979).

Smith, D. R.

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]

Soldevila, F.

H. GonzDuránlez, L. Martínez-León, F. Soldevila, M. Araiza-Esquivel, E. Tajahuerce, and J. Lancis, “High-speed single-pixel digital holography,” in SPIE Optical Metrology, vol. 10333P. Ferraro, S. Grilli, M. Ritsch-Marte, and C. K. Hitzenberger, eds. (SPIE, 2017), p. 103330G.

Stantchev, R. I.

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]

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] [PubMed]

Stockton, P. A.

P. A. Stockton, J. J. Field, and R. A. Bartels, “Single pixel quantitative phase imaging with spatial frequency projections,” Methods 136, 24–34 (2018).
[Crossref]

Studer, V.

V. Studer, J. Bobin, M. Chahid, H. S. Mousavi, E. Candes, and M. Dahan, “Compressive fluorescence microscopy for biological and hyperspectral imaging,” Proc Natl Acad Sci U S A 109, E1679–E1687 (2012).
[Crossref] [PubMed]

Sun, B.

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] [PubMed]

M. P. Edgar, G. M. Gibson, R. W. Bowman, B. Sun, N. Radwell, K. J. Mitchell, S. S. Welsh, and M. J. Padgett, “Simultaneous real-time visible and infrared video with single-pixel detectors,” Sci Rep 5, 10669 (2015).
[Crossref] [PubMed]

S. S. Welsh, M. P. Edgar, R. Bowman, P. Jonathan, B. Sun, and M. J. Padgett, “Fast full-color computational imaging with single-pixel detectors,” Opt Express 21, 23068–23074 (2013).
[Crossref] [PubMed]

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] [PubMed]

Sun, M.-J.

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] [PubMed]

Suo, J.

Y. Wang, Y. Liu, J. Suo, G. Situ, C. Qiao, and Q. Dai, “High speed computational ghost imaging via spatial sweeping,” Sci Rep 7, 45325 (2017).
[Crossref] [PubMed]

Z. Li, J. Suo, X. Hu, C. Deng, J. Fan, and Q. Dai, “Efficient single-pixel multispectral imaging via non-mechanical spatio-spectral modulation,” Sci Rep 7, 41435 (2017).
[Crossref] [PubMed]

L. Bian, J. Suo, G. Situ, Z. Li, J. Fan, F. Chen, and Q. Dai, “Multispectral imaging using a single bucket detector,” Sci Rep 6, 24752 (2016).
[Crossref] [PubMed]

Y. Wang, J. Suo, J. Fan, and Q. Dai, “Hyperspectral computational ghost imaging via temporal multiplexing,” IEEE Photonics Technol. Lett. 28, 288–291 (2016).
[Crossref]

Z. Li, J. Suo, X. Hu, and Q. Dai, “Content-adaptive ghost imaging of dynamic scenes,” Opt. Express 24, 7328–7336 (2016).
[Crossref] [PubMed]

Tajahuerce, E.

L. Martínez-León, P. Clemente, Y. Mori, V. Climent, J. Lancis, and E. Tajahuerce, “Single-pixel digital holography with phase-encoded illumination,” Opt. Express 25, 4975–4984 (2017).
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P. Clemente, V. Durán, E. Tajahuerce, P. Andres, V. Climent, and J. Lancis, “Compressive holography with a single-pixel detector,” Opt Lett 38, 2524–2527 (2013).
[Crossref] [PubMed]

P. Clemente, V. Durán, E. Tajahuerce, V. Torres-Company, and J. Lancis, “Single-pixel digital ghost holography,” Phys. Rev. A 86, 041803 (2012).
[Crossref]

H. GonzDuránlez, L. Martínez-León, F. Soldevila, M. Araiza-Esquivel, E. Tajahuerce, and J. Lancis, “High-speed single-pixel digital holography,” in SPIE Optical Metrology, vol. 10333P. Ferraro, S. Grilli, M. Ritsch-Marte, and C. K. Hitzenberger, eds. (SPIE, 2017), p. 103330G.

Takhar, D.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, S. Ting, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25, 83–91 (2008).
[Crossref]

Tao, T.

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Inf. Theory 52, 489–509 (2006).
[Crossref]

E. J. Candès and T. Tao, “Near-optimal signal recovery from random projections: Universal encoding strategies?” IEEE Transactions on Inf. Theory 52, 5406–5425 (2006).
[Crossref]

Taylor, J. M.

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] [PubMed]

Ting, S.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, S. Ting, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25, 83–91 (2008).
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Torres-Company, V.

P. Clemente, V. Durán, E. Tajahuerce, V. Torres-Company, and J. Lancis, “Single-pixel digital ghost holography,” Phys. Rev. A 86, 041803 (2012).
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Ugawa, M.

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

Vittert, L. E.

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] [PubMed]

Waki, K.

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

Wang, X.

Wang, Y.

Y. Wang, Y. Liu, J. Suo, G. Situ, C. Qiao, and Q. Dai, “High speed computational ghost imaging via spatial sweeping,” Sci Rep 7, 45325 (2017).
[Crossref] [PubMed]

Y. Wang, J. Suo, J. Fan, and Q. Dai, “Hyperspectral computational ghost imaging via temporal multiplexing,” IEEE Photonics Technol. Lett. 28, 288–291 (2016).
[Crossref]

Watts, C. M.

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).
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Wax, A.

S. Chowdhury, W. J. Eldridge, A. Wax, and J. A. Izatt, “Structured illumination multimodal 3D-resolved quantitative phase and fluorescence sub-diffraction microscopy,” Biomed. Opt. Express 8, 2496–2518 (2017).
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S. Chowdhury, W. J. Eldridge, A. Wax, and J. A. Izatt, “Spatial frequency-domain multiplexed microscopy for simultaneous, single-camera, one-shot, fluorescent, and quantitative-phase imaging,” Opt Lett 40, 4839–4842 (2015).
[Crossref] [PubMed]

Welsh, S.

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] [PubMed]

Welsh, S. S.

M. P. Edgar, G. M. Gibson, R. W. Bowman, B. Sun, N. Radwell, K. J. Mitchell, S. S. Welsh, and M. J. Padgett, “Simultaneous real-time visible and infrared video with single-pixel detectors,” Sci Rep 5, 10669 (2015).
[Crossref] [PubMed]

S. S. Welsh, M. P. Edgar, R. Bowman, P. Jonathan, B. Sun, and M. J. Padgett, “Fast full-color computational imaging with single-pixel detectors,” Opt Express 21, 23068–23074 (2013).
[Crossref] [PubMed]

Werner, C. L.

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: Two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[Crossref]

Xiao, T.

H. Yu, R. Lu, S. Han, H. Xie, G. Du, T. Xiao, and D. Zhu, “Fourier-transform ghost imaging with hard X rays,” Phys. Rev. Lett. 117, 113901 (2016).
[Crossref] [PubMed]

Xie, H.

H. Yu, R. Lu, S. Han, H. Xie, G. Du, T. Xiao, and D. Zhu, “Fourier-transform ghost imaging with hard X rays,” Phys. Rev. Lett. 117, 113901 (2016).
[Crossref] [PubMed]

Yamaguchi, S.

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

Yao, M.

Yao, R.

Q. Pian, R. Yao, N. Sinsuebphon, and X. Intes, “Compressive hyperspectral time-resolved wide-field fluorescence lifetime imaging,” Nat. Photonics 11, 411–414 (2017).
[Crossref] [PubMed]

Yu, H.

H. Yu, R. Lu, S. Han, H. Xie, G. Du, T. Xiao, and D. Zhu, “Fourier-transform ghost imaging with hard X rays,” Phys. Rev. Lett. 117, 113901 (2016).
[Crossref] [PubMed]

Zebker, H. A.

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: Two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[Crossref]

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Zheng, G.

Zhong, J.

Zhu, D.

H. Yu, R. Lu, S. Han, H. Xie, G. Du, T. Xiao, and D. Zhu, “Fourier-transform ghost imaging with hard X rays,” Phys. Rev. Lett. 117, 113901 (2016).
[Crossref] [PubMed]

ACM Transactions on Graph. (TOG) (1)

P. Sen, B. Chen, G. Garg, S. R. Marschner, M. Horowitz, M. Levoy, and H. P. A. Lensch, “Dual photography,” ACM Transactions on Graph. (TOG) 24, 745–755 (2005).
[Crossref]

Appl. Opt. (2)

Biomed. Opt. Express (1)

IEEE Photonics Technol. Lett. (1)

Y. Wang, J. Suo, J. Fan, and Q. Dai, “Hyperspectral computational ghost imaging via temporal multiplexing,” IEEE Photonics Technol. Lett. 28, 288–291 (2016).
[Crossref]

IEEE Signal Process. Mag. (1)

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, S. Ting, K. F. Kelly, and R. G. Baraniuk, “Single-pixel imaging via compressive sampling,” IEEE Signal Process. Mag. 25, 83–91 (2008).
[Crossref]

IEEE Transactions on Inf. Theory (2)

E. J. Candès and T. Tao, “Near-optimal signal recovery from random projections: Universal encoding strategies?” IEEE Transactions on Inf. Theory 52, 5406–5425 (2006).
[Crossref]

E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information,” IEEE Transactions on Inf. Theory 52, 489–509 (2006).
[Crossref]

Methods (1)

P. A. Stockton, J. J. Field, and R. A. Bartels, “Single pixel quantitative phase imaging with spatial frequency projections,” Methods 136, 24–34 (2018).
[Crossref]

Nat Commun (1)

Z. Zhang, X. Ma, and J. Zhong, “Single-pixel imaging by means of Fourier spectrum acquisition,” Nat Commun 6, 6225 (2015).
[Crossref] [PubMed]

Nat. Photonics (3)

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).
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T. Čižmár, M. Mazilu, and K. Dholakia, “In situ wavefront correction and its application to micromanipulation,” Nat. Photonics 4, 388–394 (2010).
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Q. Pian, R. Yao, N. Sinsuebphon, and X. Intes, “Compressive hyperspectral time-resolved wide-field fluorescence lifetime imaging,” Nat. Photonics 11, 411–414 (2017).
[Crossref] [PubMed]

Opt Express (2)

S. A. Goorden, J. Bertolotti, and A. P. Mosk, “Superpixel-based spatial amplitude and phase modulation using a digital micromirror device,” Opt Express 22, 17999–18009 (2014).
[Crossref] [PubMed]

S. S. Welsh, M. P. Edgar, R. Bowman, P. Jonathan, B. Sun, and M. J. Padgett, “Fast full-color computational imaging with single-pixel detectors,” Opt Express 21, 23068–23074 (2013).
[Crossref] [PubMed]

Opt Lett (2)

S. Chowdhury, W. J. Eldridge, A. Wax, and J. A. Izatt, “Spatial frequency-domain multiplexed microscopy for simultaneous, single-camera, one-shot, fluorescent, and quantitative-phase imaging,” Opt Lett 40, 4839–4842 (2015).
[Crossref] [PubMed]

P. Clemente, V. Durán, E. Tajahuerce, P. Andres, V. Climent, and J. Lancis, “Compressive holography with a single-pixel detector,” Opt Lett 38, 2524–2527 (2013).
[Crossref] [PubMed]

Opt. Express (4)

Opt. Lett. (1)

Optica (3)

Phys. Rev. A (1)

P. Clemente, V. Durán, E. Tajahuerce, V. Torres-Company, and J. Lancis, “Single-pixel digital ghost holography,” Phys. Rev. A 86, 041803 (2012).
[Crossref]

Phys. Rev. Appl (1)

S. Shin, K. Lee, Y. Baek, and Y. Park, “Reference-free single-point holographic imaging and realization of an optical bidirectional transducer,” Phys. Rev. Appl.  9, 044042 (2018).
[Crossref]

Phys. Rev. Lett. (2)

H. Yu, R. Lu, S. Han, H. Xie, G. Du, T. Xiao, and D. Zhu, “Fourier-transform ghost imaging with hard X rays,” Phys. Rev. Lett. 117, 113901 (2016).
[Crossref] [PubMed]

D. Pelliccia, A. Rack, M. Scheel, V. Cantelli, and D. M. Paganin, “Experimental X-ray ghost imaging,” Phys. Rev. Lett. 117, 113902 (2016).
[Crossref] [PubMed]

Proc Natl Acad Sci U S A (1)

V. Studer, J. Bobin, M. Chahid, H. S. Mousavi, E. Candes, and M. Dahan, “Compressive fluorescence microscopy for biological and hyperspectral imaging,” Proc Natl Acad Sci U S A 109, E1679–E1687 (2012).
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Prog. Opt. (1)

W.-H. Lee, “III computer-generated holograms: Techniques and applications,” Prog. Opt. 16, 119–232 (1978).
[Crossref]

Radio Sci. (1)

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: Two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
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M. P. Edgar, G. M. Gibson, R. W. Bowman, B. Sun, N. Radwell, K. J. Mitchell, S. S. Welsh, and M. J. Padgett, “Simultaneous real-time visible and infrared video with single-pixel detectors,” Sci Rep 5, 10669 (2015).
[Crossref] [PubMed]

L. Bian, J. Suo, G. Situ, Z. Li, J. Fan, F. Chen, and Q. Dai, “Multispectral imaging using a single bucket detector,” Sci Rep 6, 24752 (2016).
[Crossref] [PubMed]

Z. Li, J. Suo, X. Hu, C. Deng, J. Fan, and Q. Dai, “Efficient single-pixel multispectral imaging via non-mechanical spatio-spectral modulation,” Sci Rep 7, 41435 (2017).
[Crossref] [PubMed]

Y. Wang, Y. Liu, J. Suo, G. Situ, C. Qiao, and Q. Dai, “High speed computational ghost imaging via spatial sweeping,” Sci Rep 7, 45325 (2017).
[Crossref] [PubMed]

M. Abetamann and M. Bayer, “Compressive adaptive computational ghost imaging,” Sci Rep 3, 1545 (2013).
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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] [PubMed]

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).
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Science (2)

S. Ota, R. Horisaki, Y. Kawamura, M. Ugawa, I. Sato, K. Hashimoto, R. Kamesawa, K. Setoyama, S. Yamaguchi, K. Fujiu, K. Waki, and H. Noji, “Ghost cytometry,” Science 360, 1246–1251 (2018).
[Crossref] [PubMed]

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).
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G. Popescu, Quantitative phase imaging of cells and tissues (McGraw-Hill, 2011).

H. GonzDuránlez, L. Martínez-León, F. Soldevila, M. Araiza-Esquivel, E. Tajahuerce, and J. Lancis, “High-speed single-pixel digital holography,” in SPIE Optical Metrology, vol. 10333P. Ferraro, S. Grilli, M. Ritsch-Marte, and C. K. Hitzenberger, eds. (SPIE, 2017), p. 103330G.

M. Harwit and N. J. A. Sloane, Hadamard transform optics(Elsevier, 1979).

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Figures (4)

Fig. 1
Fig. 1 Experimental setup for simultaneous phase and fluorescence imaging with single-pixel detectors. Lee hologram [22, 26] is applied to generate the complex amplitude field at the sample plane, which provides both reference beam and phase shifts for interferometry. SF-CW, single frequency-continuous wave; DMD, digital micromirror device; TIR prism, total internal reflection prism; L1-L4, lenses (f1 = f2 = 150 mm, f3 = f4 = 75 mm); OL, objective lens; DM, dichroic mirror; PMT, photomultiplier tube; SMF, single-mode fiber. The dashed line denotes the intermediate image plane of the DMD, which is conjugate with the sample plane.
Fig. 2
Fig. 2 Phase imaging result of an etched glass sample. (a) Raw phase reconstruction of the etched glass. (b) Background phase of the system. (c) Estimated etching height from the sample’s phase, i.e., the phase difference between (a) and (b). (d) Phase along the highlighted profile in (c), and performance comparison among the ground-truth phase (black dashed line), the result of diffraction phase microscopy (DPM) [39] (blue dotted line), and ours (green solid line). Scale bar: 500 µm.
Fig. 3
Fig. 3 Simultaneous phase and fluorescence imaging of the quantum dot sample. (a) Fluorescence intensity of the quantum dot sample on the slide glass. (b) Phase of the quantum dot sample. (c) Superimposition of automatically aligned phase and fluorescence images. Scale bar: 2 mm.
Fig. 4
Fig. 4 Results of compressive phase and fluorescence imaging under varying sampling ratios. (a) Fluorescence reconstructions are shown in the top row and phases are in the bottom. The sampling ratio increases from 10% to 70%, and the results from fully sampled measurements are given for comparison. Scale bar: 2 mm. Peak signal-to-noise ratio (PSNR in dB, higher is better) of the reconstructed fluorescence (b) and phase (c) images varying sampling ratios from 10% to 90%. The fully sampled measurements are used as the ground truth for calculating PSNR.

Equations (11)

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I k = Ω | P k ( r ) S ( r ) | 2 d 2 r = Ω | P k ( r ) | 2 | S ( r ) | 2 d 2 r ,
I k = ( i , j ) P k ( i , j ) S ( i , j ) ,
I = P S ,
S = P 1 I .
I k = | ( P k ( r ) S ( r ) ) k = 0 | 2 = | Ω P k ( r ) S ( r ) d 2 r | 2 ,
I k , ϕ = | Ω 1 2 [ e j ϕ H k ( r ) + 1 ] S ( r ) d 2 r | 2 = 1 4 | e j ϕ Ω H k ( r ) S ( r ) d 2 r + Ω S ( r ) d 2 r | 2 = 1 4 | e j ϕ s k + r | 2 .
y k = ( I k , 0 I k , π ) + j ( 2 I k , π / 2 I k , π ) = s k r * = r * Ω H k ( r ) S ( r ) d 2 r ,
I k , ϕ F = Ω | P k , ϕ ( r ) | 2 F ( r ) d 2 r ,
| P k , 0 | 2 = P k , 0 = ( H k + 1 ) / 2 , and | P k , π | 2 = P k , π = ( H k + 1 ) / 2.
y k F = I k , 0 F I k , π F = Ω H k ( r ) F ( r ) d 2 r .
h ( r ) = λ 2 π Δ n φ ( r ) .

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