Abstract

We demonstrate controlled wavelength-dependent light focusing through turbid media using wavefront shaping. Due to the dispersion caused by multiple light scattering, light propagation through turbid media can be independently controlled between different wavelengths. Foci with various wavelengths can be generated by applying different optimized wavefronts to a highly scattering layer. Given the linearity of the transmission matrix, multiple foci with different wavelengths can also be simultaneously constructed.

© 2012 Optical Society of America

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  1. P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
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  2. J. Mertz, Curr. Opin. Neurobiol. 14, 610 (2004).
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  4. Y. Jang, J. Jang, and Y. K. Park, Opt. Express 20, 9673 (2012).
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  5. W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
    [CrossRef]
  6. P. J. Campagnola and L. M. Loew, Nat. Biotechnol. 21, 1356 (2003).
    [CrossRef]
  7. I. M. Vellekoop and A. P. Mosk, Opt. Lett. 32, 2309 (2007).
    [CrossRef]
  8. S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
    [CrossRef]
  9. S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
    [CrossRef]
  10. E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
    [CrossRef]
  11. C.-L. Hsieh, Y. Pu, R. Grange, G. Laporte, and D. Psaltis, Opt. Express 18, 20723 (2010).
    [CrossRef]
  12. R. Grange, T. Lanvin, C.-L. Hsieh, Y. Pu, and D. Psaltis, Biomed. Opt. Express 2, 2532 (2011).
    [CrossRef]
  13. T. Cizmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
    [CrossRef]
  14. O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
    [CrossRef]
  15. F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Lett. 36, 373 (2011).
    [CrossRef]

2012 (1)

2011 (4)

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Lett. 36, 373 (2011).
[CrossRef]

R. Grange, T. Lanvin, C.-L. Hsieh, Y. Pu, and D. Psaltis, Biomed. Opt. Express 2, 2532 (2011).
[CrossRef]

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
[CrossRef]

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

2010 (4)

T. Cizmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
[CrossRef]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

C.-L. Hsieh, Y. Pu, R. Grange, G. Laporte, and D. Psaltis, Opt. Express 18, 20723 (2010).
[CrossRef]

2009 (1)

2007 (1)

2004 (1)

J. Mertz, Curr. Opin. Neurobiol. 14, 610 (2004).
[CrossRef]

2003 (1)

P. J. Campagnola and L. M. Loew, Nat. Biotechnol. 21, 1356 (2003).
[CrossRef]

2000 (1)

P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
[CrossRef]

1990 (1)

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

Akbulut, D.

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

Berland, K. M.

P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
[CrossRef]

Bertolotti, J.

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

Boccara, A. C.

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

Bromberg, Y.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
[CrossRef]

Campagnola, P. J.

P. J. Campagnola and L. M. Loew, Nat. Biotechnol. 21, 1356 (2003).
[CrossRef]

Carminati, R.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

Choi, W.

Cizmár, T.

T. Cizmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
[CrossRef]

Dasari, R.

Denk, W.

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

Dholakia, K.

T. Cizmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
[CrossRef]

Dong, C. Y.

P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
[CrossRef]

Feld, M.

Fink, M.

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

Gigan, S.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

Grange, R.

Hsieh, C.-L.

Jang, J.

Jang, Y.

Katz, O.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
[CrossRef]

Lagendijk, A.

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Lett. 36, 373 (2011).
[CrossRef]

Lanvin, T.

Laporte, G.

Lerosey, G.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

Loew, L. M.

P. J. Campagnola and L. M. Loew, Nat. Biotechnol. 21, 1356 (2003).
[CrossRef]

Masters, B. R.

P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
[CrossRef]

Mazilu, M.

T. Cizmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
[CrossRef]

Mertz, J.

J. Mertz, Curr. Opin. Neurobiol. 14, 610 (2004).
[CrossRef]

Mosk, A. P.

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Lett. 36, 373 (2011).
[CrossRef]

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

I. M. Vellekoop and A. P. Mosk, Opt. Lett. 32, 2309 (2007).
[CrossRef]

Park, Y. K.

Popoff, S.

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

Popoff, S. M.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

Psaltis, D.

Pu, Y.

Silberberg, Y.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
[CrossRef]

Small, E.

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
[CrossRef]

So, P. T. C.

P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
[CrossRef]

Strickler, J. H.

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

van Beijnum, F.

van Putten, E. G.

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Lett. 36, 373 (2011).
[CrossRef]

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

Vellekoop, I. M.

Vos, W.

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

Webb, W. W.

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

Yamauchi, T.

Annu. Rev. Biomed. Eng. (1)

P. T. C. So, C. Y. Dong, B. R. Masters, and K. M. Berland, Annu. Rev. Biomed. Eng. 2, 399 (2000).
[CrossRef]

Biomed. Opt. Express (1)

Curr. Opin. Neurobiol. (1)

J. Mertz, Curr. Opin. Neurobiol. 14, 610 (2004).
[CrossRef]

Nat. Biotechnol. (1)

P. J. Campagnola and L. M. Loew, Nat. Biotechnol. 21, 1356 (2003).
[CrossRef]

Nat. Commun. (1)

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 1 (2010).
[CrossRef]

Nat. Photon. (2)

T. Cizmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
[CrossRef]

O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. Lett. (2)

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
[CrossRef]

E. G. van Putten, D. Akbulut, J. Bertolotti, W. Vos, A. Lagendijk, and A. P. Mosk, Phys. Rev. Lett. 106, 193905 (2011).
[CrossRef]

Science (1)

W. Denk, J. H. Strickler, and W. W. Webb, Science 248, 73 (1990).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

a. Conventional spectral filters absorb selective wavelengths. b. In turbid media, light of different wavelengths follows different scattering paths and makes independent speckle patterns. c. Shaping the incident beam to create a spectrally filtered focus.

Fig. 2.
Fig. 2.

Experimental setup. L, lens; BS, beam splitter.

Fig. 3.
Fig. 3.

Selective spectral focusing through turbid media. The incident wavefronts are optimized for a. red, b. green, and c. blue focusing. The first column shows color images as seen on the color CCD. Signals from each color channel are decomposed using bandpass filters. Color bar, normalized intensity in pseudocolor. Scale bar, 5 μm.

Fig. 4.
Fig. 4.

Optimized multiple foci of different wavelengths. a. Colored image as seen on the color CCD. b., c., d. Decomposed images of red, green and blue, respectively. Colorbar, normalized intensity in pseudocolor. Scale bar, 10 μm.

Equations (2)

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Em(λ)=n=1Ntmn(λ)En(λ)eiϕn(λ),
ϕn(λ)=arg[tmn(λ)]+α,

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