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Focusing of light energy inside a scattering medium by controlling the time-gated multiple light scattering

Abstract

The efficient delivery of light energy is a prerequisite for the non-invasive imaging and stimulating of target objects embedded deep within a scattering medium. However, the injected waves experience random diffusion by multiple light scattering, and only a small fraction reaches the target object. Here, we present a method to counteract wave diffusion and to focus multiple-scattered waves at the deeply embedded target. To realize this, we experimentally inject light into the reflection eigenchannels of a specific flight time to preferably enhance the intensity of those multiple-scattered waves that have interacted with the target object. For targets that are too deep to be visible by optical imaging, we demonstrate a more than tenfold enhancement in light energy delivery in comparison with ordinary wave diffusion cases. This work will lay a foundation to enhance the working depth of imaging, sensing and light stimulation.

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Fig. 1: Wave propagation within scattering media.
Fig. 2: Analyses of coupling light to the time-gated eigenchannels.
Fig. 3: Experimental coupling of light to time-gated reflection eigenchannels.
Fig. 4: Reflection and transmission images of time-gated reflection eigenchannels.
Fig. 5: Demonstration of enhanced light energy delivery through a rat skull.

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References

  1. Jeremy, C. H., Simon, R. A. & David, T. D. Optical imaging in medicine: I. Experimental techniques. Phys. Med. Biol. 42, 825–840 (1997).

    Article  Google Scholar 

  2. Huang, X. & El-Sayed, M. A. Gold nanoparticles: optical properties and implementations in cancer diagnosis and photothermal therapy. J. Adv. Res. 1, 13–28 (2010).

    Article  Google Scholar 

  3. Packer, A. M., Roska, B. & Hausser, M. Targeting neurons and photons for optogenetics. Nat. Neurosci. 16, 805–815 (2013).

    Article  Google Scholar 

  4. Vellekoop, I. M. & Mosk, A. P. Focusing coherent light through opaque strongly scattering media. Opt. Lett. 32, 2309–2311 (2007).

    Article  ADS  Google Scholar 

  5. Katz, O., Small, E., Bromberg, Y. & Silberberg, Y. Focusing and compression of ultrashort pulses through scattering media. Nat. Photon. 5, 372–377 (2011).

    Article  ADS  Google Scholar 

  6. Aulbach, J., Gjonaj, B., Johnson, P. & Lagendijk, A. Spatiotemporal focusing in opaque scattering media by wave front shaping with nonlinear feedback. Opt. Express 20, 29237–29251 (2012).

    Article  ADS  Google Scholar 

  7. Mounaix, M. et al. Spatiotemporal coherent control of light through a multiple scattering medium with the multispectral transmission matrix. Phys. Rev. Lett. 116, 253901 (2016).

    Article  ADS  Google Scholar 

  8. Kim, M. et al. Maximal energy transport through disordered media with the implementation of transmission eigenchannels. Nat. Photon. 6, 581–585 (2012).

    Article  ADS  Google Scholar 

  9. Goetschy, A. & Stone, A. D. Filtering random matrices: the effect of incomplete channel control in multiple scattering. Phys. Rev. Lett. 111, 063901 (2013).

    Article  ADS  Google Scholar 

  10. Kim, M. et al. Exploring anti-reflection modes in disordered media. Opt. Express 23, 12740–12749 (2015).

    Article  ADS  Google Scholar 

  11. Sarma, R., Yamilov, A. G., Petrenko, S., Bromberg, Y. & Cao, H. Control of energy density inside a disordered medium by coupling to open or closed channels. Phys. Rev. Lett. 117, 086803 (2016).

    Article  ADS  Google Scholar 

  12. Hsu, C. W., Liew, S. F., Goetschy, A., Cao, H. & Stone, A. D. Correlation-enhanced control of wave focusing in disordered media. Nat. Phys. 13, 497–502 (2017).

    Article  Google Scholar 

  13. Mounaix, M., de Aguiar, H. B. & Gigan, S. Temporal recompression through a scattering medium via a broadband transmission matrix. Optica 4, 1289–1292 (2017).

    Article  Google Scholar 

  14. Marsh, P. N., Burns, D. & Girkin, J. M. Practical implementation of adaptive optics in multiphoton microscopy. Opt. Express 11, 1123–1130 (2003).

    Article  ADS  Google Scholar 

  15. Ji, N., Milkie, D. E. & Betzig, E. Adaptive optics via pupil segmentation for high-resolution imaging in biological tissues. Nat. Methods 7, 141–147 (2010).

    Article  Google Scholar 

  16. Fiolka, R., Si, K. & Cui, M. Complex wavefront corrections for deep tissue focusing using low coherence backscattered light. Opt. Express 20, 16532–16543 (2012).

    Article  ADS  Google Scholar 

  17. Wang, C. et al. Multiplexed aberration measurement for deep tissue imaging in vivo. Nat. Methods 11, 1037–1040 (2014).

    Article  Google Scholar 

  18. Park, J. H., Sun, W. & Cui, M. High-resolution in vivo imaging of mouse brain through the intact skull. Proc. Natl Acad. Sci. USA 112, 9236–9241 (2015).

    Article  ADS  Google Scholar 

  19. Vellekoop, I. M., van Putten, E. G., Lagendijk, A. & Mosk, A. P. Demixing light paths inside disordered metamaterials. Opt. Express 16, 67–80 (2008).

    Article  ADS  Google Scholar 

  20. Xu, X. A., Liu, H. L. & Wang, L. V. Time-reversed ultrasonically encoded optical focusing into scattering media. Nat. Photon. 5, 154–157 (2011).

    Article  ADS  Google Scholar 

  21. Judkewitz, B., Wang, Y. M., Horstmeyer, R., Mathy, A. & Yang, C. H. Speckle-scale focusing in the diffusive regime with time reversal of variance-encoded light (TROVE). Nat. Photon. 7, 300–305 (2013).

    Article  ADS  Google Scholar 

  22. 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).

    Article  ADS  Google Scholar 

  23. Prada, C., Wu, F. & Fink, M. The iterative time-reversal mirror—a solution to self-focusing in the pulse echo mode. J. Acoust. Soc. Am. 90, 1119–1129 (1991).

    Article  ADS  Google Scholar 

  24. Prada, C. & Fink, M. Eigenmodes of the time-reversal operator—a solution to selective focusing in multiple-target media. Wave Motion 20, 151–163 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  25. Kang, S. et al. Imaging deep within a scattering medium using collective accumulation of single-scattered waves. Nat. Photon. 9, 253–258 (2015).

    Article  ADS  Google Scholar 

  26. Kang, S. et al. High-resolution adaptive optical imaging within thick scattering media using closed-loop accumulation of single scattering. Nat. Commun. 8, 2157 (2017).

    Article  ADS  Google Scholar 

  27. Choi, Y. et al. Measurement of the time-resolved reflection matrix for enhancing light energy delivery into a scattering medium. Phys. Rev. Lett. 111, 243901 (2013).

    Article  ADS  Google Scholar 

  28. Badon, A. et al. Smart optical coherence tomography for ultra-deep imaging through highly scattering media. Sci. Adv. 2, e1600370 (2016).

    Article  ADS  Google Scholar 

  29. Wang, L., Ho, P. P., Liu, C., Zhang, G. & Alfano, R. R. Ballistic 2-D imaging through scattering walls using an ultrafast optical Kerr gate. Science 253, 769–771 (1991).

    Article  ADS  Google Scholar 

  30. Goto, K., Nakagawa, T., Nakamura, O. & Kawata, S. An implantable power supply with an optically rechargeable lithium battery. IEEE Trans. Biomed. Eng. 48, 830–833 (2001).

    Article  Google Scholar 

  31. Choi, W., Mosk, A. P., Park, Q. H. & Choi, W. Transmission eigenchannels in a disordered medium. Phys. Rev. B 83, 134207 (2011).

    Article  ADS  Google Scholar 

  32. Choi, W., Park, Q. H. & Choi, W. Perfect transmission through Anderson localized systems mediated by a cluster of localized modes. Opt. Express 20, 20721–20729 (2012).

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This research was supported by IBS-R023-D1 and the Global Frontier Program (2014M3A6B3063710) through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning. It was also supported by the Korea Health Technology R&D Project (HI14C0748) funded by the Ministry of Health & Welfare, Republic of Korea. H.-G.P. acknowledges support from an NRF grant funded by the Korean government (MSIT) (no. 2009-0081565).

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Wonshik C., S.J., S.K. and Y.-R.L. conceived the experiment, and S.J. carried out the measurements. Experimental data were analysed by S.J., Y.-R.L. and Wonshik C. Y.-R.L. developed the theoretical framework and analysed FDTD simulation results with Wonshik C. Wonjun C. constructed the FDTD platform for computing the time-resolved reflection matrix and its eigenchannels, and ran the FDTD simulations. Y.-S.L. assisted in the design of the optical set-up. J.H.H. prepared biological tissues. J.-S.P. and H.-G.P. provided silver disks. S.J., Y.-R.L. and Wonshik C. prepared the manuscript. All authors contributed to finalizing the manuscript.

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Correspondence to Wonshik Choi.

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Supplementary Information

Numerical and theoretical analyses, additional experimental data analysis, comparison of experimental data with the theoretical results, and further discussion on the proposed method.

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Jeong, S., Lee, YR., Choi, W. et al. Focusing of light energy inside a scattering medium by controlling the time-gated multiple light scattering. Nature Photon 12, 277–283 (2018). https://doi.org/10.1038/s41566-018-0120-9

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