Abstract

We experimentally demonstrate a nonimaging approach to displacement measurement for complex scattering materials. By spatially controlling the wavefront of the light that incidents on the material, we concentrate the scattered light in a focus on a designated position. This wavefront acts as a unique optical fingerprint that enables precise position detection of the illuminated material by simply measuring the intensity in the focus. By combining two fingerprints we demonstrate position detection along one in-plane dimension with a displacement resolution of 2.1 nm. As our approach does not require an image of the scattered field, it is possible to employ fast nonimaging detectors to enable high-speed position detection of scattering materials.

© 2012 Optical Society of America

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  2. N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
    [CrossRef]
  3. R. J. Dewhurst and Q. Shan, Meas. Sci. Technol. 10, R139 (1999).
    [CrossRef]
  4. J. M. Burch and J. M. J. Tokarski, Opt. Acta 15, 101 (1968).
  5. E. Archbold, J. M. Burch, and A. E. Ennos, Opt. Acta 17, 883 (1970).
    [CrossRef]
  6. J. A. Leendertz, J. Phys. E 3 (1970).
    [CrossRef]
  7. J. Butters and J. Leendertz, Opt. Laser Technol. 3, 26 (1971).
    [CrossRef]
  8. A. Macovski, S. D. Ramsey, and L. F. Schaefer, Appl. Opt. 10, 2722 (1971).
    [CrossRef]
  9. O. Lekberg, Phys. Technol. 11, 16 (1980).
    [CrossRef]
  10. J. W. Goodman, Speckle Phenomena in Optics (Roberts, 2006).
  11. G. H. Kaufmann, ed., Advances in Speckle Metrology and Related Techniques (Wiley, 2011).
  12. I. M. Vellekoop and A. P. Mosk, Opt. Lett. 32, 2309 (2007).
    [CrossRef]
  13. S. M. Popoff, G. Lerosey, R. Carminati, M. Fink, A. C. Boccara, and S. Gigan, Phys. Rev. Lett. 104, 100601 (2010).
    [CrossRef]
  14. T. Čižmár, M. Mazilu, and K. Dholakia, Nat. Photon. 4, 388 (2010).
    [CrossRef]
  15. Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
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    [CrossRef]
  17. Z. Yaqoob, D. Psaltis, M. S. Feld, and C. Yang, Nat. Photon. 2, 110 (2008).
    [CrossRef]
  18. M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
    [CrossRef]
  19. C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
    [CrossRef]
  20. I. M. Vellekoop, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Express 16, 67 (2008).
    [CrossRef]
  21. J. Aulbach, B. Gjonaj, P. M. Johnson, A. P. Mosk, and A. Lagendijk, Phys. Rev. Lett. 106, 103901 (2011).
    [CrossRef]
  22. O. Katz, E. Small, Y. Bromberg, and Y. Silberberg, Nat. Photon. 5, 372 (2011).
    [CrossRef]
  23. D. J. McCabe, A. Tajalli, D. R. Austin, P. Bondareff, I. A. Walmsley, S. Gigan, and B. Chatel, Nat. Commun. 2, 447 (2011).
    [CrossRef]
  24. I. M. Vellekoop and A. P. Mosk, Opt. Commun. 281, 3071 (2008).
    [CrossRef]
  25. M. Cui, Opt. Express 19, 2989 (2011).
    [CrossRef]
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    [CrossRef]
  27. J. W. Wagner and J. B. Spicer, J. Opt. Soc. Am. B 4, 1316 (1987).
    [CrossRef]

2011

C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
[CrossRef]

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

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

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

M. Cui, Opt. Express 19, 2989 (2011).
[CrossRef]

2010

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

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

2008

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

I. M. Vellekoop and A. P. Mosk, Opt. Commun. 281, 3071 (2008).
[CrossRef]

I. M. Vellekoop, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Express 16, 67 (2008).
[CrossRef]

2007

2000

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

1999

R. J. Dewhurst and Q. Shan, Meas. Sci. Technol. 10, R139 (1999).
[CrossRef]

1993

N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
[CrossRef]

1987

1980

O. Lekberg, Phys. Technol. 11, 16 (1980).
[CrossRef]

1971

J. Butters and J. Leendertz, Opt. Laser Technol. 3, 26 (1971).
[CrossRef]

A. Macovski, S. D. Ramsey, and L. F. Schaefer, Appl. Opt. 10, 2722 (1971).
[CrossRef]

1970

E. Archbold, J. M. Burch, and A. E. Ennos, Opt. Acta 17, 883 (1970).
[CrossRef]

J. A. Leendertz, J. Phys. E 3 (1970).
[CrossRef]

1968

J. M. Burch and J. M. J. Tokarski, Opt. Acta 15, 101 (1968).

1966

Alekseenko, I.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

Archbold, E.

E. Archbold, J. M. Burch, and A. E. Ennos, Opt. Acta 17, 883 (1970).
[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]

Bernet, S.

C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
[CrossRef]

Bobroff, N.

N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
[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]

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]

Burch, J. M.

E. Archbold, J. M. Burch, and A. E. Ennos, Opt. Acta 17, 883 (1970).
[CrossRef]

J. M. Burch and J. M. J. Tokarski, Opt. Acta 15, 101 (1968).

Butters, J.

J. Butters and J. Leendertz, Opt. Laser Technol. 3, 26 (1971).
[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]

Cassereau, D.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[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]

Choi, W.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Choi, Y.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Cižmár, T.

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

Cui, M.

Dasari, R. R.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Derode, A.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Dewhurst, R. J.

R. J. Dewhurst and Q. Shan, Meas. Sci. Technol. 10, R139 (1999).
[CrossRef]

Dholakia, K.

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

Ennos, A. E.

E. Archbold, J. M. Burch, and A. E. Ennos, Opt. Acta 17, 883 (1970).
[CrossRef]

Fang-Yen, C.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Feld, M. S.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

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

Fink, M.

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

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Gaspar, J.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

Gåsvik, K. J.

K. J. Gåsvik, Optical Metrology (Wiley, 2002).

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]

Gjonaj, B.

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

Goodman, J. W.

J. W. Goodman, Speckle Phenomena in Optics (Roberts, 2006).

Jesacher, A.

C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
[CrossRef]

Johnson, P. M.

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

Kang, P.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Katz, O.

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

Kaufmann, G. H.

G. H. Kaufmann, ed., Advances in Speckle Metrology and Related Techniques (Wiley, 2011).

Lagendijk, A.

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

I. M. Vellekoop, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Express 16, 67 (2008).
[CrossRef]

Lee, K. J.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Leendertz, J.

J. Butters and J. Leendertz, Opt. Laser Technol. 3, 26 (1971).
[CrossRef]

Leendertz, J. A.

J. A. Leendertz, J. Phys. E 3 (1970).
[CrossRef]

Leith, E. N.

Lekberg, O.

O. Lekberg, Phys. Technol. 11, 16 (1980).
[CrossRef]

Lerosey, G.

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

Macovski, A.

Maurer, C.

C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
[CrossRef]

Mazilu, M.

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

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

I. M. Vellekoop and A. P. Mosk, Opt. Commun. 281, 3071 (2008).
[CrossRef]

I. M. Vellekoop, E. G. van Putten, A. Lagendijk, and A. P. Mosk, Opt. Express 16, 67 (2008).
[CrossRef]

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

Osten, W.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

Paul, O.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

Pedrini, G.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[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]

Prada, C.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Psaltis, D.

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

Ramsey, S. D.

Ritsch-Marte, M.

C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
[CrossRef]

Roux, P.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Schaefer, L. F.

Schmidt, M. E.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

Shan, Q.

R. J. Dewhurst and Q. Shan, Meas. Sci. Technol. 10, R139 (1999).
[CrossRef]

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]

Spicer, J. B.

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]

Tanter, M.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Thomas, J.-L.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Tokarski, J. M. J.

J. M. Burch and J. M. J. Tokarski, Opt. Acta 15, 101 (1968).

Upatnieks, J.

van Putten, E. G.

Vellekoop, I. M.

Wagner, J. W.

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]

Wu, F.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Yang, C.

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

Yang, T. D.

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

Yaqoob, Z.

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

Appl. Opt.

J. Opt. Soc. Am.

J. Opt. Soc. Am. B

J. Phys. E

J. A. Leendertz, J. Phys. E 3 (1970).
[CrossRef]

Laser Photon. Rev.

C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, Laser Photon. Rev. 5, 81 (2011).
[CrossRef]

Meas. Sci. Technol.

N. Bobroff, Meas. Sci. Technol. 4, 907 (1993).
[CrossRef]

R. J. Dewhurst and Q. Shan, Meas. Sci. Technol. 10, R139 (1999).
[CrossRef]

Nat. Commun.

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

Nat. Photon.

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

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

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

Opt. Acta

J. M. Burch and J. M. J. Tokarski, Opt. Acta 15, 101 (1968).

E. Archbold, J. M. Burch, and A. E. Ennos, Opt. Acta 17, 883 (1970).
[CrossRef]

Opt. Commun.

I. M. Vellekoop and A. P. Mosk, Opt. Commun. 281, 3071 (2008).
[CrossRef]

Opt. Eng.

G. Pedrini, J. Gaspar, M. E. Schmidt, I. Alekseenko, O. Paul, and W. Osten, Opt. Eng. 50, 101504 (2011).
[CrossRef]

Opt. Express

Opt. Laser Technol.

J. Butters and J. Leendertz, Opt. Laser Technol. 3, 26 (1971).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

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

Y. Choi, T. D. Yang, C. Fang-Yen, P. Kang, K. J. Lee, R. R. Dasari, M. S. Feld, and W. Choi, Phys. Rev. Lett. 107, 023902 (2011).
[CrossRef]

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

Phys. Technol.

O. Lekberg, Phys. Technol. 11, 16 (1980).
[CrossRef]

Rep. Prog. Phys.

M. Fink, D. Cassereau, A. Derode, C. Prada, P. Roux, M. Tanter, J.-L. Thomas, and F. Wu, Rep. Prog. Phys. 63, 1933 (2000).
[CrossRef]

Other

J. W. Goodman, Speckle Phenomena in Optics (Roberts, 2006).

G. H. Kaufmann, ed., Advances in Speckle Metrology and Related Techniques (Wiley, 2011).

K. J. Gåsvik, Optical Metrology (Wiley, 2002).

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