Abstract

A random medium can serve as a controllable arbitrary spectral filter with spectral resolution determined by the inverse of the interaction time of the light in the medium. We use wavefront shaping to implement an arbitrary spectral response at a particular point in the scattered field. We experimentally demonstrate this technique by selecting either a narrow band or dual bands with a width of 5.5 nm each.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. I. M. Vellekoop and A. P. Mosk, Opt. Lett. 32, 2309 (2007).
    [CrossRef]
  2. A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
    [CrossRef]
  3. Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
    [CrossRef]
  4. M. Fink, Phys. Today 50, 34 (1997).
    [CrossRef]
  5. G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
    [CrossRef]
  6. I. M. Vellekoop, A. Lagendijk, and A. P. Mosk, Nat. Photon. 4, 320 (2010).
    [CrossRef]
  7. O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
    [CrossRef]
  8. J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
    [CrossRef]
  9. D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
    [CrossRef]
  10. F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
    [CrossRef]
  11. I. Freund, Physica A 168, 49 (1990).
    [CrossRef]
  12. S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
    [CrossRef]
  13. S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 81 (2010).
    [CrossRef]
  14. O. Katz, E. Small, and Y. Silberberg, Nat. Photon. 6, 549 (2012).
  15. T. Kohlgraf-Owens and A. Dogariu, Opt. Lett. 35, 2236 (2010).
    [CrossRef]
  16. Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).
  17. E. Small, O. Katz, and Y. Silberberg, Opt. Express 20, 5189 (2012).
    [CrossRef]
  18. F. van Beijnum, E. G. van Putten, Ad Lagendijk, and A. P. Mosk, Opt. Lett. 36, 373 (2011).
    [CrossRef]
  19. D. B. Conkey, A. N. Brown, A. M. Caravaca-Aguirre, and R. Piestun, Opt. Express 20, 4840 (2012).
    [CrossRef]
  20. T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
    [CrossRef]
  21. I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
    [CrossRef]

2012 (4)

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
[CrossRef]

O. Katz, E. Small, and Y. Silberberg, Nat. Photon. 6, 549 (2012).

E. Small, O. Katz, and Y. Silberberg, Opt. Express 20, 5189 (2012).
[CrossRef]

D. B. Conkey, A. N. Brown, A. M. Caravaca-Aguirre, and R. Piestun, Opt. Express 20, 4840 (2012).
[CrossRef]

2011 (5)

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

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

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

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

2010 (4)

T. Kohlgraf-Owens and A. Dogariu, Opt. Lett. 35, 2236 (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, 81 (2010).
[CrossRef]

I. M. Vellekoop, A. Lagendijk, and A. P. Mosk, Nat. Photon. 4, 320 (2010).
[CrossRef]

2009 (1)

F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
[CrossRef]

2008 (1)

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
[CrossRef]

2007 (2)

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

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
[CrossRef]

1997 (1)

M. Fink, Phys. Today 50, 34 (1997).
[CrossRef]

1990 (1)

I. Freund, Physica A 168, 49 (1990).
[CrossRef]

1988 (1)

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Adolfsson, E.

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

Aulbach, J.

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

Austin, D. R.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

Boccara, A. C.

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, 81 (2010).
[CrossRef]

Bondareff, P.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

Bromberg, Y.

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

Brown, A. N.

Caravaca-Aguirre, A. M.

Carminati, R.

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

Chatel, B.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

Conkey, D. B.

de Rosny, J.

F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
[CrossRef]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
[CrossRef]

Dogariu, A.

Feld, M. S.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
[CrossRef]

Feng, S.

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Fink, M.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
[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, 81 (2010).
[CrossRef]

F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
[CrossRef]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
[CrossRef]

M. Fink, Phys. Today 50, 34 (1997).
[CrossRef]

Freund, I.

I. Freund, Physica A 168, 49 (1990).
[CrossRef]

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Gigan, S.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[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, 81 (2010).
[CrossRef]

Gjonaj, B.

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

Guan, Y.

Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).

Johnson, P. M.

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

Katz, O.

E. Small, O. Katz, and Y. Silberberg, Opt. Express 20, 5189 (2012).
[CrossRef]

O. Katz, E. Small, and Y. Silberberg, Nat. Photon. 6, 549 (2012).

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

Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).

Kohlgraf-Owens, T.

Lagendijk, A.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
[CrossRef]

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

I. M. Vellekoop, A. Lagendijk, and A. P. Mosk, Nat. Photon. 4, 320 (2010).
[CrossRef]

Lagendijk, Ad

Lemoult, F.

F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
[CrossRef]

Lerosey, G.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
[CrossRef]

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 81 (2010).
[CrossRef]

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

F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
[CrossRef]

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
[CrossRef]

Lewander, M.

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

McCabe, D. J.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

Mosk, A. P.

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
[CrossRef]

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

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

I. M. Vellekoop, A. Lagendijk, and A. P. Mosk, Nat. Photon. 4, 320 (2010).
[CrossRef]

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

Piestun, R.

Popoff, S.

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 81 (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.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
[CrossRef]

Rosenbluh, M.

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Silberberg, Y.

E. Small, O. Katz, and Y. Silberberg, Opt. Express 20, 5189 (2012).
[CrossRef]

O. Katz, E. Small, and Y. Silberberg, Nat. Photon. 6, 549 (2012).

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

Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).

Small, E.

E. Small, O. Katz, and Y. Silberberg, Opt. Express 20, 5189 (2012).
[CrossRef]

O. Katz, E. Small, and Y. Silberberg, Nat. Photon. 6, 549 (2012).

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

Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).

Svanberg, S.

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

Svensson, T.

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

Tajalli, A.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

Tourin, A.

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
[CrossRef]

van Beijnum, F.

van Putten, E. G.

Vellekoop, I. M.

I. M. Vellekoop, A. Lagendijk, and A. P. Mosk, Nat. Photon. 4, 320 (2010).
[CrossRef]

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

Walmsley, I. A.

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

Xu, C. T.

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

Yang, C.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
[CrossRef]

Yaqoob, Z.

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
[CrossRef]

Zhou, J.

Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).

Nat. Commun. (2)

D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
[CrossRef]

S. Popoff, G. Lerosey, M. Fink, A. C. Boccara, and S. Gigan, Nat. Commun. 1, 81 (2010).
[CrossRef]

Nat. Photon. (5)

O. Katz, E. Small, and Y. Silberberg, Nat. Photon. 6, 549 (2012).

I. M. Vellekoop, A. Lagendijk, and A. P. Mosk, Nat. Photon. 4, 320 (2010).
[CrossRef]

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

A. P. Mosk, A. Lagendijk, G. Lerosey, and M. Fink, Nat. Photon. 6, 283 (2012).
[CrossRef]

Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. Lett. (5)

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

J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
[CrossRef]

F. Lemoult, G. Lerosey, J. de Rosny, and M. Fink, Phys. Rev. Lett. 103, 173902 (2009).
[CrossRef]

T. Svensson, E. Adolfsson, M. Lewander, C. T. Xu, and S. Svanberg, Phys. Rev. Lett. 107, 143901 (2011).
[CrossRef]

I. Freund, M. Rosenbluh, and S. Feng, Phys. Rev. Lett. 61, 2328 (1988).
[CrossRef]

Phys. Today (1)

M. Fink, Phys. Today 50, 34 (1997).
[CrossRef]

Physica A (1)

I. Freund, Physica A 168, 49 (1990).
[CrossRef]

Science (1)

G. Lerosey, J. de Rosny, A. Tourin, and M. Fink, Science 315, 1120 (2007).
[CrossRef]

Other (1)

Y. Guan, O. Katz, E. Small, J. Zhou, and Y. Silberberg, arXiv:1206.3899v1 (2012).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Scattering in a random medium couples each SLM pixel to a different temporal (and spectral) pattern when measured at a particular output point, thus forming a random effective basis for temporal/spectral control by the SLM. In the temporal domain (a) an ultrashort pulse with a transform-limited duration of δt at the input is scattered to different temporal patterns characterized by the same minimal feature size δt and a temporal span Δt determined by the interaction time of the light inside the medium. In the spectral domain (b) the broadband input with a bandwidth of Δω1δt is scattered to different spectral patterns, characterized by a minimal feature size δω1Δt and spanning the full Δω of the source. A phase-only SLM at the input can thus control the coherent interference of these random spectral patterns, generating an arbitrary optimized spectral pattern at the output.

Fig. 2.
Fig. 2.

Experimental setup for spectral control of a broadband source through a random medium by wavefront shaping. An SLM controls the wavefront of the incident spatially coherent broadband field (not necessarily an ultrashort pulse). The wavefront shaped field is focused on the scattering medium with a lens. The scattered light at a particular spatial position behind the medium is measured by an optical spectrum analyzer, which generates a feedback signal for optimizing the incident wavefront to attain the desired spectral pattern.

Fig. 3.
Fig. 3.

Experimental results: (a) unoptimized spectrum of the scattered broadband source at the measurement point; (b) optimized (red line) and unoptimized (blue line) spectra for a narrow bandpass filter optimization (inset: SLM optimized phase pattern; the maximum phase is 2.3π); (c) optimized (red line) and unoptimized (blue line) spectra for a dual bandpass filter optimization. All spectral powers are normalized to the peak power of the appropriate unoptimized spectrum (flat SLM pattern).

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

δλ=λ02cΔt,

Metrics