Abstract
Shaping light deep inside complex media such as biological tissue is critical to many research fields. Although the coherent control of scattered light via wavefront shaping has led to substantial advances in addressing this challenge, controlling light over extended or multiple targets without physical access to the inside of a medium remains elusive. Here we present a phase conjugation method for spatially incoherent light, which enables non-invasive light control based on incoherent emission from multiple target positions. Our method characterizes the scattering responses of hidden sources by retrieving mutually incoherent scattered fields from speckle patterns. By time-reversing scattered fluorescence with digital phase conjugation, we experimentally demonstrate focusing of light on individual and multiple targets. We also demonstrate maximum energy delivery to an extended target through a scattering medium by exploiting transmission eigenchannels. This paves the way to control light propagation in complex media using incoherent contrasts mechanisms.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$209.00 per year
only $17.42 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
Data availability
All relevant data are available from the authors on reasonable request.
Code availability
All of the relevant code is available from the authors on reasonable request.
References
Čižmár, T., Mazilu, M. & Dholakia, K. In situ wavefront correction and its application to micromanipulation. Nat. Photon. 4, 388–394 (2010).
Ntziachristos, V. Going deeper than microscopy: the optical imaging frontier in biology. Nat. Methods 7, 603–614 (2010).
Kubby, J., Gigan, S. & Cui, M. Wavefront Shaping for Biomedical Imaging (Cambridge Univ. Press, 2019).
Boyden, E. S., Zhang, F., Bamberg, E., Nagel, G. & Deisseroth, K. Millisecond-timescale, genetically targeted optical control of neural activity. Nat. Neurosci. 8, 1263–1268 (2005).
Yoon, J. et al. Optogenetic control of cell signaling pathway through scattering skull using wavefront shaping. Sci. Rep. 5, 1–7 (2015).
Vellekoop, I. M. & Mosk, A. Focusing coherent light through opaque strongly scattering media. Opt. Lett. 32, 2309–2311 (2007).
Mosk, A. P., Lagendijk, A., Lerosey, G. & Fink, M. Controlling waves in space and time for imaging and focusing in complex media. Nat. Photon. 6, 283–292 (2012).
Horstmeyer, R., Ruan, H. & Yang, C. Guidestar-assisted wavefront-shaping methods for focusing light into biological tissue. Nat. Photon. 9, 563–571 (2015).
Rotter, S. & Gigan, S. Light fields in complex media: mesoscopic scattering meets wave control. Rev. Modern Phys. 89, 015005 (2017).
Cao, H., Mosk, A. P. & Rotter, S. Shaping the propagation of light in complex media. Nat. Phys. 18, 994–1007 (2022).
Katz, O., Small, E., Guan, Y. & Silberberg, Y. Noninvasive nonlinear focusing and imaging through strongly scattering turbid layers. Optica 1, 170–174 (2014).
Daniel, A., Oron, D. & Silberberg, Y. Light focusing through scattering media via linear fluorescence variance maximization, and its application for fluorescence imaging. Opt. Express 27, 21778–21786 (2019).
Boniface, A., Blochet, B., Dong, J. & Gigan, S. Noninvasive light focusing in scattering media using speckle variance optimization. Optica 6, 1381–1385 (2019).
Boniface, A., Dong, J. & Gigan, S. Non-invasive focusing and imaging in scattering media with a fluorescence-based transmission matrix. Nat. Commun. 11, 1–7 (2020).
Li, D., Sahoo, S. K., Lam, H. Q., Wang, D. & Dang, C. Non-invasive optical focusing inside strongly scattering media with linear fluorescence. Appl. Phys. Lett. 116, 241104 (2020).
Rauer, B., Aguiar, H. B., Bourdieu, L. & Gigan, S. Scattering correcting wavefront shaping for three-photon microscopy. Opt. Lett. 47, 6233–6236 (2022).
Thompson, J. V., Throckmorton, G. A., Hokr, B. H. & Yakovlev, V. V. Wavefront shaping enhanced Raman scattering in a turbid medium. Opt. Lett. 41, 1769–1772 (2016).
Tian, B. et al. Non-invasive chemically selective energy delivery and focusing inside a scattering medium guided by Raman scattering. Opt. Lett. 47, 2145–2148 (2022).
Yaqoob, Z., Psaltis, D., Feld, M. S. & Yang, C. Optical phase conjugation for turbidity suppression in biological samples. Nat. Photon. 2, 110–115 (2008).
Cui, M. & Yang, C. Implementation of a digital optical phase conjugation system and its application to study the robustness of turbidity suppression by phase conjugation. Opt. Express 18, 3444–3455 (2010).
Hsieh, C.-L., Pu, Y., Grange, R. & Psaltis, D. Digital phase conjugation of second harmonic radiation emitted by nanoparticles in turbid media. Opt. Express 18, 12283–12290 (2010).
Xu, X., Liu, H. & Wang, L. V. Time-reversed ultrasonically encoded optical focusing into scattering media. Nat. Photon. 5, 154–157 (2011).
Vellekoop, I. M., Cui, M. & Yang, C. Digital optical phase conjugation of fluorescence in turbid tissue. Appl. Phys. Lett. 101, 081108 (2012).
Judkewitz, B., Wang, Y. M., Horstmeyer, R., Mathy, A. & Yang, C. Speckle-scale focusing in the diffusive regime with time reversal of variance-encoded light (trove). Nature Photon. 7, 300–305 (2013).
Ma, C., Xu, X., Liu, Y. & Wang, L. V. Time-reversed adapted-perturbation (trap) optical focusing onto dynamic objects inside scattering media. Nat. Photon. 8, 931–936 (2014).
Zhou, E. H., Ruan, H., Yang, C. & Judkewitz, B. Focusing on moving targets through scattering samples. Optica 1, 227–232 (2014).
Ruan, H., Jang, M. & Yang, C. Optical focusing inside scattering media with time-reversed ultrasound microbubble encoded light. Nat. Commun. 6, 1–8 (2015).
Ruan, H. et al. Focusing light inside scattering media with magnetic-particle-guided wavefront shaping. Optica 4, 1337–1343 (2017).
Yang, J. et al. Focusing light inside live tissue using reversibly switchable bacterial phytochrome as a genetically encoded photochromic guide star. Sci. Adv. 5, 1211 (2019).
Aizik, D., Gkioulekas, I. & Levin, A. Fluorescent wavefront shaping using incoherent iterative phase conjugation. Optica 9, 746–754 (2022).
Popoff, S. M. et al. Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media. Phys. Rev. Lett. 104, 100601 (2010).
Thibault, P. & Menzel, A. Reconstructing state mixtures from diffraction measurements. Nature 494, 68–71 (2013).
Vesga, A. G. et al. Focusing large spectral bandwidths through scattering media. Opt. Express 27, 28384–28394 (2019).
Freund, I., Rosenbluh, M. & Feng, S. Memory effects in propagation of optical waves through disordered media. Phys. Rev. Lett. 61, 2328 (1988).
Feng, S., Kane, C., Lee, P. A. & Stone, A. D. Correlations and fluctuations of coherent wave transmission through disordered media. Phys. Rev. Lett. 61, 834 (1988).
Vellekoop, I. M. & Mosk, A. Universal optimal transmission of light through disordered materials. Phys. Rev. Lett. 101, 120601 (2008).
Kim, M. et al. Maximal energy transport through disordered media with the implementation of transmission eigenchannels. Nat. Photon. 6, 581–585 (2012).
Hillman, T. R. et al. Digital optical phase conjugation for delivering two-dimensional images through turbid media. Sci. Rep. 3, 1–5 (2013).
Goodman, J.W. Speckle Phenomena in Optics: Theory and Applications (Roberts and Company, 2007).
Popoff, S. M. et al. Exploiting the time-reversal operator for adaptive optics, selective focusing, and scattering pattern analysis. Phys. Rev. Lett. 107, 263901 (2011).
Candes, E. J., Li, X. & Soltanolkotabi, M. Phase retrieval via wirtinger flow: theory and algorithms. IEEE Trans. Inform. Theory 61, 1985–2007 (2015).
Candes, E. J., Eldar, Y. C., Strohmer, T. & Voroninski, V. Phase retrieval via matrix completion. SIAM Rev. 57, 225–251 (2015).
Osnabrugge, G., Horstmeyer, R., Papadopoulos, I. N., Judkewitz, B. & Vellekoop, I. M. Generalized optical memory effect. Optica 4, 886–892 (2017).
De Santis, P., Gori, F., Guattari, G. & Palma, C. Synthesis of partially coherent fields. JOSA A 3, 1258–1262 (1986).
Rodenburg, B., Mirhosseini, M., Magaña-Loaiza, O. S. & Boyd, R. W. Experimental generation of an optical field with arbitrary spatial coherence properties. JOSA B 31, 51–55 (2014).
Tzang, O. et al. Wavefront shaping in complex media with a 350 kHz modulator via a 1D-to-2D transform. Nature Photon. 13, 788–793 (2019).
Barré, N. & Jesacher, A. Holographic beam shaping of partially coherent light. Optics Lett. 47, 425–428 (2022).
Kim, D. & Englund, D. R. Quantum reference beacon-guided superresolution optical focusing in complex media. Science 363, 528–531 (2019).
Acknowledgements
This research was supported by H2020 Future and Emerging Technologies (grant no. 863203 to Y.B., H.B.d.A. and S.G.), European Research Council (grant no. 724473 to S.G.) and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (grant no. 2022R1A6A3A03072108 to Y.B.).
Author information
Authors and Affiliations
Contributions
Y.B. conceived the idea. Y.B., H.B.d.A. and S.G. developed the concept and designed the experiments. Y.B. built the experimental set-up, performed the experiments and analysed the data. All of the authors discussed the results and wrote the paper.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Photonics thanks Jacopo Bertolotti and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information
Supplementary Sections 1–7 and Figs. 1–6.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Baek, Y., de Aguiar, H.B. & Gigan, S. Phase conjugation with spatially incoherent light in complex media. Nat. Photon. 17, 1114–1119 (2023). https://doi.org/10.1038/s41566-023-01254-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41566-023-01254-5