Abstract

We report optical measurements of the spectral width of open transmission channels in a three-dimensional diffusive medium. The light transmission through a sample is enhanced by efficiently coupling to open transmission channels using repeated digital optical phase conjugation. The spectral properties are investigated by enhancing the transmission, fixing the incident wavefront and scanning the wavelength of the laser. We measure the transmitted field to extract the field correlation function and the enhancement of the total transmission. We find that optimizing the total transmission leads to a significant increase in the frequency width of the field correlation function. Additionally we find that the enhanced transmission persists over an even larger frequency bandwidth. This result shows open channels in the diffusive regime are spectrally much wider than previous measurements in the localized regime suggest.

© 2016 Optical Society of America

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2015 (3)

Z. Shi and A. Z. Genack, “Dynamic and spectral properties of transmission eigenchannels in random media,” Phys. Rev. B 92, 184202 (2015).
[Crossref]

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

M. Burresi, F. Pratesi, F. Riboli, and D. S. Wiersma, “Complex photonic structures for light harvesting,” Adv. Opt. Mater. 3, 722–743 (2015).
[Crossref] [PubMed]

2014 (8)

V. Y. F. Leung, A. Lagendijk, T. W. Tukker, A. P. Mosk, W. L. IJzerman, and W. L. Vos, “Interplay between multiple scattering, emission, and absorption of light in the phosphor of a white light-emitting diode,” Opt. Express 22, 8190–8204 (2014).
[Crossref] [PubMed]

A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

X. Hao, L. Martin-Rouault, and M. Cui, “A self-adaptive method for creating high efficiency communication channels through random scattering media,” Sci. Rep. 4, 5874 (2014).
[Crossref] [PubMed]

B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
[Crossref] [PubMed]

S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

S. A. Goorden, M. Horstmann, A. P. Mosk, B. Škorić, and P. W. H. Pinkse, “Quantum-secure authentication of a physical unclonable key,” Optica 1, 421–424 (2014).
[Crossref]

S. M. Popoff, A. Goetschy, S. F. Liew, A. D. Stone, and H. Cao, “Coherent control of total transmission of light through disordered media,” Phys. Rev. Lett. 112, 133903 (2014).
[Crossref] [PubMed]

R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
[Crossref] [PubMed]

2012 (5)

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

Z. Shi and A. Z. Genack, “Transmission eigenvalues and the bare conductance in the crossover to Anderson localization,” Phys. Rev. Lett. 108, 043901 (2012).
[Crossref] [PubMed]

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photon. 6, 283–292 (2012).
[Crossref]

L. V. Wang and S. Hu, “Photoacoustic tomography: in vivo imaging from organelles to organs,” Science 335, 1458–1462 (2012).
[Crossref] [PubMed]

Y. M. Wang, B. Judkewitz, C. A. DiMarzio, and C. Yang, “Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light,” Nat. Commun. 3, 928 (2012).
[Crossref] [PubMed]

2011 (4)

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
[Crossref] [PubMed]

W. Choi, A. P. Mosk, Q.-H. Park, and W. Choi, “Transmission eigenchannels in a disordered medium,” Phys. Rev. B 83, 134207 (2011).
[Crossref]

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, “Frequency bandwidth of light focused through turbid media,” Opt. Lett. 36, 373–375 (2011).
[Crossref] [PubMed]

S. Rotter, P. Ambichl, and F. Libisch, “Generating particlelike scattering states in wave transport,” Phys. Rev. Lett. 106, 120602 (2011).
[Crossref] [PubMed]

2010 (1)

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
[Crossref] [PubMed]

2009 (1)

A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, “Fifty years of Anderson localization,” Phys. Today 62, 24–29 (2009).
[Crossref]

2008 (2)

I. M. Vellekoop and A. P. Mosk, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101, 120601 (2008).
[Crossref] [PubMed]

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium : Unusual resonators: Plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80, 1201–1213 (2008).
[Crossref]

2007 (1)

2002 (1)

1998 (1)

F. Scheffold and G. Maret, “Universal conductance fluctuations of light,” Phys. Rev. Lett. 81, 5800–5803 (1998).
[Crossref]

1997 (2)

C. W. J. Beenakker, “Random-matrix theory of quantum transport,” Rev. Mod. Phys. 69, 731–808 (1997).
[Crossref]

P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, “Quantum mechanical time-delay matrix in chaotic scattering,” Phys. Rev. Lett. 78, 4737–4740 (1997).
[Crossref]

1994 (1)

Y. V. Nazarov, “Limits of universality in disordered conductors,” Phys. Rev. Lett. 73, 134–137 (1994).
[Crossref] [PubMed]

1991 (1)

M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, “Speed of propagation of classical waves in strongly scattering media,” Phys. Rev. Lett. 66, 3132–3135 (1991).
[Crossref] [PubMed]

1990 (1)

J. B. Pendry, A. MacKinnon, and A. B. Pretre, “Maximal fluctuations – A new phenomenon in disordered systems,” Physica A 168, 400–407 (1990).
[Crossref]

1988 (2)

P. A. Mello, P. Pereyra, and N. Kumar, “Macroscopic approach to multichannel disordered conductors,” Ann. of Phys. 181, 290–317 (1988).
[Crossref]

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[Crossref] [PubMed]

1985 (3)

P. A. Lee and A. D. Stone, “Universal conductance fluctuations in metals,” Phys. Rev. Lett. 55, 1622–1625 (1985).
[Crossref] [PubMed]

M. P. van Albada and A. Lagendijk, “Observation of weak localization of light in a random medium,” Phys. Rev. Lett. 55, 2692–2695 (1985).
[Crossref] [PubMed]

P. E. Wolf and G. Maret, “Weak localization and coherent backscattering of photons in disordered media,” Phys. Rev. Lett. 55, 2696 (1985).
[Crossref] [PubMed]

1984 (1)

O. N. Dorokhov, “On the coexistence of localized and extended electronic states in the metallic phase,” Solid State Commun. 51, 381–384 (1984).
[Crossref]

1982 (2)

O. N. Dorokhov, “Transmission coefficient and the localization length of an electron in N bound disordered chains,” JETP Lett. 36, 318–321 (1982).

M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
[Crossref]

1974 (1)

1929 (1)

R. von Mises and H. Pollaczek-Geiringer, “Praktische verfahren der Gleichungsauflösung,” Z. Angew. Math. Mech. 9, 152–164 (1929).
[Crossref]

Akkermans, E.

E. Akkermans and G. Montambaux, Mesoscopic physics of electrons and photons (Cambridge University, Cambridge, 2007), 2nd ed.
[Crossref]

Ambichl, P.

R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
[Crossref] [PubMed]

S. Rotter, P. Ambichl, and F. Libisch, “Generating particlelike scattering states in wave transport,” Phys. Rev. Lett. 106, 120602 (2011).
[Crossref] [PubMed]

Aubry, A.

B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
[Crossref] [PubMed]

Beenakker, C. W. J.

C. W. J. Beenakker, “Random-matrix theory of quantum transport,” Rev. Mod. Phys. 69, 731–808 (1997).
[Crossref]

P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, “Quantum mechanical time-delay matrix in chaotic scattering,” Phys. Rev. Lett. 78, 4737–4740 (1997).
[Crossref]

Beghuin, D.

Bliokh, K. Y.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium : Unusual resonators: Plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80, 1201–1213 (2008).
[Crossref]

Bliokh, Y. P.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium : Unusual resonators: Plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80, 1201–1213 (2008).
[Crossref]

Boccara, A. C.

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
[Crossref] [PubMed]

Bromberg, Y.

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

Brouwer, P. W.

P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, “Quantum mechanical time-delay matrix in chaotic scattering,” Phys. Rev. Lett. 78, 4737–4740 (1997).
[Crossref]

Burresi, M.

M. Burresi, F. Pratesi, F. Riboli, and D. S. Wiersma, “Complex photonic structures for light harvesting,” Adv. Opt. Mater. 3, 722–743 (2015).
[Crossref] [PubMed]

Cao, H.

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

S. M. Popoff, A. Goetschy, S. F. Liew, A. D. Stone, and H. Cao, “Coherent control of total transmission of light through disordered media,” Phys. Rev. Lett. 112, 133903 (2014).
[Crossref] [PubMed]

Carminati, R.

R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
[Crossref] [PubMed]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
[Crossref] [PubMed]

Chabanov, A. A.

A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

Choi, W.

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

W. Choi, A. P. Mosk, Q.-H. Park, and W. Choi, “Transmission eigenchannels in a disordered medium,” Phys. Rev. B 83, 134207 (2011).
[Crossref]

W. Choi, A. P. Mosk, Q.-H. Park, and W. Choi, “Transmission eigenchannels in a disordered medium,” Phys. Rev. B 83, 134207 (2011).
[Crossref]

Choi, Y.

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

Colomb, T.

Cuche, E.

Cui, M.

X. Hao, L. Martin-Rouault, and M. Cui, “A self-adaptive method for creating high efficiency communication channels through random scattering media,” Sci. Rep. 4, 5874 (2014).
[Crossref] [PubMed]

Dahlgren, P.

Davidson, T. J.

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
[Crossref] [PubMed]

Deisseroth, K.

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
[Crossref] [PubMed]

Depeursinge, C.

Derode, A.

B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
[Crossref] [PubMed]

DiMarzio, C. A.

Y. M. Wang, B. Judkewitz, C. A. DiMarzio, and C. Yang, “Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light,” Nat. Commun. 3, 928 (2012).
[Crossref] [PubMed]

Dorokhov, O. N.

O. N. Dorokhov, “On the coexistence of localized and extended electronic states in the metallic phase,” Solid State Commun. 51, 381–384 (1984).
[Crossref]

O. N. Dorokhov, “Transmission coefficient and the localization length of an electron in N bound disordered chains,” JETP Lett. 36, 318–321 (1982).

Feng, S.

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[Crossref] [PubMed]

Fenno, L. E.

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
[Crossref] [PubMed]

Fink, M.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photon. 6, 283–292 (2012).
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S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
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Y. V. Fyodorov and D. V. Savin, “Resonance scattering of waves in chaotic systems,” in “The Oxford Handbook of Random Matrix Theory,” G. Akemann, J. Baik, and P. Di Francesco, eds. (Oxford University, Oxford, 2011), Chap. 34.

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Z. Shi and A. Z. Genack, “Dynamic and spectral properties of transmission eigenchannels in random media,” Phys. Rev. B 92, 184202 (2015).
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Z. Shi and A. Z. Genack, “Transmission eigenvalues and the bare conductance in the crossover to Anderson localization,” Phys. Rev. Lett. 108, 043901 (2012).
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B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
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Gigan, S.

R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
[Crossref] [PubMed]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
[Crossref] [PubMed]

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A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

Goetschy, A.

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

S. M. Popoff, A. Goetschy, S. F. Liew, A. D. Stone, and H. Cao, “Coherent control of total transmission of light through disordered media,” Phys. Rev. Lett. 112, 133903 (2014).
[Crossref] [PubMed]

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S. A. Goorden, M. Horstmann, A. P. Mosk, B. Škorić, and P. W. H. Pinkse, “Quantum-secure authentication of a physical unclonable key,” Optica 1, 421–424 (2014).
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S. A. Goorden, “Reversible scattering of light exploited for quantum-secure communication,” Ph.D. thesis, University of Twente (2015).

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R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
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X. Hao, L. Martin-Rouault, and M. Cui, “A self-adaptive method for creating high efficiency communication channels through random scattering media,” Sci. Rep. 4, 5874 (2014).
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Hsu, C. W.

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

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L. V. Wang and S. Hu, “Photoacoustic tomography: in vivo imaging from organelles to organs,” Science 335, 1458–1462 (2012).
[Crossref] [PubMed]

IJzerman, W. L.

Ina, H.

Judkewitz, B.

Y. M. Wang, B. Judkewitz, C. A. DiMarzio, and C. Yang, “Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light,” Nat. Commun. 3, 928 (2012).
[Crossref] [PubMed]

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S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[Crossref] [PubMed]

Kim, J.

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

Kim, M.

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

Kobayashi, S.

Kumar, N.

P. A. Mello, P. Pereyra, and N. Kumar, “Macroscopic approach to multichannel disordered conductors,” Ann. of Phys. 181, 290–317 (1988).
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Lagendijk, A.

V. Y. F. Leung, A. Lagendijk, T. W. Tukker, A. P. Mosk, W. L. IJzerman, and W. L. Vos, “Interplay between multiple scattering, emission, and absorption of light in the phosphor of a white light-emitting diode,” Opt. Express 22, 8190–8204 (2014).
[Crossref] [PubMed]

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photon. 6, 283–292 (2012).
[Crossref]

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, “Frequency bandwidth of light focused through turbid media,” Opt. Lett. 36, 373–375 (2011).
[Crossref] [PubMed]

A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, “Fifty years of Anderson localization,” Phys. Today 62, 24–29 (2009).
[Crossref]

M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, “Speed of propagation of classical waves in strongly scattering media,” Phys. Rev. Lett. 66, 3132–3135 (1991).
[Crossref] [PubMed]

M. P. van Albada and A. Lagendijk, “Observation of weak localization of light in a random medium,” Phys. Rev. Lett. 55, 2692–2695 (1985).
[Crossref] [PubMed]

Laurent, J.

B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
[Crossref] [PubMed]

Lee, P. A.

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[Crossref] [PubMed]

P. A. Lee and A. D. Stone, “Universal conductance fluctuations in metals,” Phys. Rev. Lett. 55, 1622–1625 (1985).
[Crossref] [PubMed]

Lee, W.-H.

Lerosey, G.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photon. 6, 283–292 (2012).
[Crossref]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
[Crossref] [PubMed]

Leung, V. Y. F.

Libisch, F.

A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

S. Rotter, P. Ambichl, and F. Libisch, “Generating particlelike scattering states in wave transport,” Phys. Rev. Lett. 106, 120602 (2011).
[Crossref] [PubMed]

Liew, S. F.

S. M. Popoff, A. Goetschy, S. F. Liew, A. D. Stone, and H. Cao, “Coherent control of total transmission of light through disordered media,” Phys. Rev. Lett. 112, 133903 (2014).
[Crossref] [PubMed]

S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

MacKinnon, A.

J. B. Pendry, A. MacKinnon, and A. B. Pretre, “Maximal fluctuations – A new phenomenon in disordered systems,” Physica A 168, 400–407 (1990).
[Crossref]

Maret, G.

F. Scheffold and G. Maret, “Universal conductance fluctuations of light,” Phys. Rev. Lett. 81, 5800–5803 (1998).
[Crossref]

P. E. Wolf and G. Maret, “Weak localization and coherent backscattering of photons in disordered media,” Phys. Rev. Lett. 55, 2696 (1985).
[Crossref] [PubMed]

Marquet, P.

Martin-Rouault, L.

X. Hao, L. Martin-Rouault, and M. Cui, “A self-adaptive method for creating high efficiency communication channels through random scattering media,” Sci. Rep. 4, 5874 (2014).
[Crossref] [PubMed]

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P. A. Mello, P. Pereyra, and N. Kumar, “Macroscopic approach to multichannel disordered conductors,” Ann. of Phys. 181, 290–317 (1988).
[Crossref]

Mogri, M.

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
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S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

S. A. Goorden, M. Horstmann, A. P. Mosk, B. Škorić, and P. W. H. Pinkse, “Quantum-secure authentication of a physical unclonable key,” Optica 1, 421–424 (2014).
[Crossref]

V. Y. F. Leung, A. Lagendijk, T. W. Tukker, A. P. Mosk, W. L. IJzerman, and W. L. Vos, “Interplay between multiple scattering, emission, and absorption of light in the phosphor of a white light-emitting diode,” Opt. Express 22, 8190–8204 (2014).
[Crossref] [PubMed]

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photon. 6, 283–292 (2012).
[Crossref]

W. Choi, A. P. Mosk, Q.-H. Park, and W. Choi, “Transmission eigenchannels in a disordered medium,” Phys. Rev. B 83, 134207 (2011).
[Crossref]

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, “Frequency bandwidth of light focused through turbid media,” Opt. Lett. 36, 373–375 (2011).
[Crossref] [PubMed]

I. M. Vellekoop and A. P. Mosk, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101, 120601 (2008).
[Crossref] [PubMed]

I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32, 2309–2311 (2007).
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[Crossref]

Park, Q.-H.

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

W. Choi, A. P. Mosk, Q.-H. Park, and W. Choi, “Transmission eigenchannels in a disordered medium,” Phys. Rev. B 83, 134207 (2011).
[Crossref]

Peña, A.

A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

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J. B. Pendry, A. MacKinnon, and A. B. Pretre, “Maximal fluctuations – A new phenomenon in disordered systems,” Physica A 168, 400–407 (1990).
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P. A. Mello, P. Pereyra, and N. Kumar, “Macroscopic approach to multichannel disordered conductors,” Ann. of Phys. 181, 290–317 (1988).
[Crossref]

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R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
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Pollaczek-Geiringer, H.

R. von Mises and H. Pollaczek-Geiringer, “Praktische verfahren der Gleichungsauflösung,” Z. Angew. Math. Mech. 9, 152–164 (1929).
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Popoff, S. M.

S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

S. M. Popoff, A. Goetschy, S. F. Liew, A. D. Stone, and H. Cao, “Coherent control of total transmission of light through disordered media,” Phys. Rev. Lett. 112, 133903 (2014).
[Crossref] [PubMed]

S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, “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).
[Crossref] [PubMed]

Prada, C.

B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
[Crossref] [PubMed]

Pratesi, F.

M. Burresi, F. Pratesi, F. Riboli, and D. S. Wiersma, “Complex photonic structures for light harvesting,” Adv. Opt. Mater. 3, 722–743 (2015).
[Crossref] [PubMed]

Pretre, A. B.

J. B. Pendry, A. MacKinnon, and A. B. Pretre, “Maximal fluctuations – A new phenomenon in disordered systems,” Physica A 168, 400–407 (1990).
[Crossref]

Riboli, F.

M. Burresi, F. Pratesi, F. Riboli, and D. S. Wiersma, “Complex photonic structures for light harvesting,” Adv. Opt. Mater. 3, 722–743 (2015).
[Crossref] [PubMed]

Rotter, S.

A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

R. Pierrat, P. Ambichl, S. Gigan, A. Haber, R. Carminati, and S. Rotter, “Invariance property of wave scattering through disordered media,” Proc. Natl. Acad. Sci. U.S.A. 111, 17765–17770 (2014).
[Crossref] [PubMed]

S. Rotter, P. Ambichl, and F. Libisch, “Generating particlelike scattering states in wave transport,” Phys. Rev. Lett. 106, 120602 (2011).
[Crossref] [PubMed]

Savel’ev, S.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium : Unusual resonators: Plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80, 1201–1213 (2008).
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Savin, D. V.

Y. V. Fyodorov and D. V. Savin, “Resonance scattering of waves in chaotic systems,” in “The Oxford Handbook of Random Matrix Theory,” G. Akemann, J. Baik, and P. Di Francesco, eds. (Oxford University, Oxford, 2011), Chap. 34.

Scheffold, F.

F. Scheffold and G. Maret, “Universal conductance fluctuations of light,” Phys. Rev. Lett. 81, 5800–5803 (1998).
[Crossref]

Shi, Z.

Z. Shi and A. Z. Genack, “Dynamic and spectral properties of transmission eigenchannels in random media,” Phys. Rev. B 92, 184202 (2015).
[Crossref]

Z. Shi and A. Z. Genack, “Transmission eigenvalues and the bare conductance in the crossover to Anderson localization,” Phys. Rev. Lett. 108, 043901 (2012).
[Crossref] [PubMed]

Škoric, B.

Stone, A. D.

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

S. M. Popoff, A. Goetschy, S. F. Liew, A. D. Stone, and H. Cao, “Coherent control of total transmission of light through disordered media,” Phys. Rev. Lett. 112, 133903 (2014).
[Crossref] [PubMed]

S. Feng, C. Kane, P. A. Lee, and A. D. Stone, “Correlations and fluctuations of coherent wave transmission through disordered media,” Phys. Rev. Lett. 61, 834–837 (1988).
[Crossref] [PubMed]

P. A. Lee and A. D. Stone, “Universal conductance fluctuations in metals,” Phys. Rev. Lett. 55, 1622–1625 (1985).
[Crossref] [PubMed]

Takeda, M.

Tip, A.

M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, “Speed of propagation of classical waves in strongly scattering media,” Phys. Rev. Lett. 66, 3132–3135 (1991).
[Crossref] [PubMed]

Tukker, T. W.

van Albada, M. P.

M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, “Speed of propagation of classical waves in strongly scattering media,” Phys. Rev. Lett. 66, 3132–3135 (1991).
[Crossref] [PubMed]

M. P. van Albada and A. Lagendijk, “Observation of weak localization of light in a random medium,” Phys. Rev. Lett. 55, 2692–2695 (1985).
[Crossref] [PubMed]

van Beijnum, F.

van Putten, E. G.

F. van Beijnum, E. G. van Putten, A. Lagendijk, and A. P. Mosk, “Frequency bandwidth of light focused through turbid media,” Opt. Lett. 36, 373–375 (2011).
[Crossref] [PubMed]

E. G. van Putten, “Disorder-enhanced imaging with spatially controlled light,” Ph.D. thesis, University of Twente (2011).

van Tiggelen, B.

A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, “Fifty years of Anderson localization,” Phys. Today 62, 24–29 (2009).
[Crossref]

van Tiggelen, B. A.

M. P. van Albada, B. A. van Tiggelen, A. Lagendijk, and A. Tip, “Speed of propagation of classical waves in strongly scattering media,” Phys. Rev. Lett. 66, 3132–3135 (1991).
[Crossref] [PubMed]

Vellekoop, I. M.

I. M. Vellekoop and A. P. Mosk, “Universal optimal transmission of light through disordered materials,” Phys. Rev. Lett. 101, 120601 (2008).
[Crossref] [PubMed]

I. M. Vellekoop and A. P. Mosk, “Focusing coherent light through opaque strongly scattering media,” Opt. Lett. 32, 2309–2311 (2007).
[Crossref] [PubMed]

von Mises, R.

R. von Mises and H. Pollaczek-Geiringer, “Praktische verfahren der Gleichungsauflösung,” Z. Angew. Math. Mech. 9, 152–164 (1929).
[Crossref]

Vos, W.

S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

Vos, W. L.

Wang, L. V.

L. V. Wang and S. Hu, “Photoacoustic tomography: in vivo imaging from organelles to organs,” Science 335, 1458–1462 (2012).
[Crossref] [PubMed]

Wang, Y. M.

Y. M. Wang, B. Judkewitz, C. A. DiMarzio, and C. Yang, “Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light,” Nat. Commun. 3, 928 (2012).
[Crossref] [PubMed]

Wiersma, D. S.

M. Burresi, F. Pratesi, F. Riboli, and D. S. Wiersma, “Complex photonic structures for light harvesting,” Adv. Opt. Mater. 3, 722–743 (2015).
[Crossref] [PubMed]

A. Lagendijk, B. van Tiggelen, and D. S. Wiersma, “Fifty years of Anderson localization,” Phys. Today 62, 24–29 (2009).
[Crossref]

Wolf, P. E.

P. E. Wolf and G. Maret, “Weak localization and coherent backscattering of photons in disordered media,” Phys. Rev. Lett. 55, 2696 (1985).
[Crossref] [PubMed]

Yang, C.

Y. M. Wang, B. Judkewitz, C. A. DiMarzio, and C. Yang, “Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light,” Nat. Commun. 3, 928 (2012).
[Crossref] [PubMed]

Yizhar, O.

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
[Crossref] [PubMed]

Yoon, C.

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

Adv. Opt. Mater. (1)

M. Burresi, F. Pratesi, F. Riboli, and D. S. Wiersma, “Complex photonic structures for light harvesting,” Adv. Opt. Mater. 3, 722–743 (2015).
[Crossref] [PubMed]

Ann. of Phys. (1)

P. A. Mello, P. Pereyra, and N. Kumar, “Macroscopic approach to multichannel disordered conductors,” Ann. of Phys. 181, 290–317 (1988).
[Crossref]

Appl. Opt. (2)

J. Opt. Soc. Am. (1)

JETP Lett. (1)

O. N. Dorokhov, “Transmission coefficient and the localization length of an electron in N bound disordered chains,” JETP Lett. 36, 318–321 (1982).

Nat. Commun. (2)

A. Peña, A. Girschik, F. Libisch, S. Rotter, and A. A. Chabanov, “The single-channel regime of transport through random media,” Nat. Commun. 5, 3488 (2014).
[Crossref] [PubMed]

Y. M. Wang, B. Judkewitz, C. A. DiMarzio, and C. Yang, “Deep-tissue focal fluorescence imaging with digitally time-reversed ultrasound-encoded light,” Nat. Commun. 3, 928 (2012).
[Crossref] [PubMed]

Nat. Photon. (2)

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, “Controlling waves in space and time for imaging and focusing in complex media,” Nat. Photon. 6, 283–292 (2012).
[Crossref]

M. Kim, Y. Choi, C. Yoon, W. Choi, J. Kim, Q.-H. Park, and W. Choi, “Maximal energy transport through disordered media with the implementation of transmission eigenchannels,” Nat. Photon. 6, 581–585 (2012).
[Crossref]

Neuron (1)

O. Yizhar, L. E. Fenno, T. J. Davidson, M. Mogri, and K. Deisseroth, “Optogenetics in neural systems,” Neuron 71, 9–34 (2011).
[Crossref] [PubMed]

Opt. Express (1)

Opt. Lett. (2)

Optica (1)

Phys. Rev. B (3)

W. Choi, A. P. Mosk, Q.-H. Park, and W. Choi, “Transmission eigenchannels in a disordered medium,” Phys. Rev. B 83, 134207 (2011).
[Crossref]

S. F. Liew, S. M. Popoff, A. P. Mosk, W. Vos, and H. Cao, “Transmission channels for light in absorbing random media: from diffusive to ballistic-like transport,” Phys. Rev. B 89, 224202 (2014).
[Crossref]

Z. Shi and A. Z. Genack, “Dynamic and spectral properties of transmission eigenchannels in random media,” Phys. Rev. B 92, 184202 (2015).
[Crossref]

Phys. Rev. Lett. (15)

C. W. Hsu, A. Goetschy, Y. Bromberg, A. D. Stone, and H. Cao, “Broadband coherent enhancement of transmission and absorption in disordered media,” Phys. Rev. Lett. 115, 223901 (2015).
[Crossref] [PubMed]

Z. Shi and A. Z. Genack, “Transmission eigenvalues and the bare conductance in the crossover to Anderson localization,” Phys. Rev. Lett. 108, 043901 (2012).
[Crossref] [PubMed]

B. Gérardin, J. Laurent, A. Derode, C. Prada, and A. Aubry, “Full transmission and reflection of waves propagating through a maze of disorder,” Phys. Rev. Lett. 113, 173901 (2014).
[Crossref] [PubMed]

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Figures (4)

Fig. 1
Fig. 1 Cartoon depicting our experimental procedure. a) On average, unoptimized transmittance through the disordered sample is wavelength-independent. b) Light is coupled to open transmission channels at wavelength λ0 by phase conjugating the transmitted light field N times. c) When light is coupled into an open channel, all the incident light is transmitted through the sample at the optimized wavelength λ0. The spectral width of open transmission channels is investigated.
Fig. 2
Fig. 2 Schematic overview of the iterative phase conjugation apparatus. Each side of a slab-geometry sample is imaged to a phase conjugate mirror (PCM), which allows detection and reconstruction of the full vector light field.
Fig. 3
Fig. 3 Measured total transmitted power P as function of number of passes through the sample N. The cross indicates the field used for investigating the spectral width of open transmission channels.
Fig. 4
Fig. 4 Transmitted field correlation for an unoptimized incident field C ω 0 unopt ( Δ ω ) and for an incident field that optimally couples to open channels C ω 0 opt ( Δ ω ). Transmission enhancement η ω 0 T ( Δ ω ) of an optimized incident field.

Equations (2)

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C ω 0 ( Δ ω ) = | E ( ω 0 ) E * ( ω 0 + Δ ω ) | 2 ,
η ω 0 T ( Δ ω ) = P opt ( ω 0 + Δ ω ) P unopt ( ω 0 + Δ ω ) ,

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