Abstract

The holographic reconstruction of optically-induced objects typically assumes that the object is axially thin. Here, we demonstrate a simple approach that works for axially thick objects which evolve dynamically. Results are verified by reconstructing linear scattering experiments in a self-defocusing photorefractive crystal.

© 2009 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
    [CrossRef]
  2. Z. Liu, M. Centurion, G. Panotopoulos, J. Hong, and D. Psaltis, “Holographic recording of fast events on a CCD camera,” Opt. Lett. 27(1), 22–24 (2002).
    [CrossRef] [PubMed]
  3. M. Centurion, Y. Pu, Z. Liu, D. Psaltis, and T. W. Hänsch, “Holographic recording of laser-induced plasma,” Opt. Lett. 29(7), 772–774 (2004).
    [CrossRef] [PubMed]
  4. E. R. Dufresne and D. G. Grier, “Optical tweezer arrays and optical substrates created with diffractive optics,” Rev. Sci. Instrum. 69(5), 1974–1977 (1998).
    [CrossRef]
  5. D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
    [CrossRef] [PubMed]
  6. Y. Roichman, I. Cholis, and D. G. Grier, “Volumetric imaging of holographic optical traps,” Opt. Express 14(22), 10907–10912 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10907 .
    [CrossRef] [PubMed]
  7. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
    [CrossRef] [PubMed]
  8. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
    [CrossRef] [PubMed]
  9. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
    [CrossRef] [PubMed]
  10. D. Gabor, “A new microscopic principle,” Nature 161(4098), 777–778 (1948).
    [CrossRef] [PubMed]
  11. T. Balciunas, A. Melninkaitis, G. Tamosauskas, and V. Sirutkaitis, “Time-resolved off-axis digital holography for characterization of ultrafast phenomena in water,” Opt. Lett. 33(1), 58–60 (2008).
    [CrossRef] [PubMed]
  12. T. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, Weinheim, Germany, 2005).
  13. M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
    [CrossRef]
  14. M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
    [CrossRef]
  15. J. A. Hermann and R. G. McDuff, “Analysis of spatial scanning with thick optically nonlinear media,” J. Opt. Soc. Am. B 10(11), 2056–2064 (1993).
    [CrossRef]
  16. C. Barsi, W. Wan, and J. W. Fleischer, “Imaging through nonlinear media via digital holography,” Nat. Photonics 3(4), 211–215 (2009).
    [CrossRef]
  17. M. Tsang, D. Psaltis, and F. G. Omenetto, “Reverse propagation of femtosecond pulses in optical fibers,” Opt. Lett. 28(20), 1873–1875 (2003).
    [CrossRef] [PubMed]
  18. U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13(9), R85–R101 (2002).
    [CrossRef]
  19. I. Yamaguchi and T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22(16), 1268–1270 (1997).
    [CrossRef] [PubMed]
  20. W. Wan, S. Jia, and J. W. Fleischer, “Dispersive, superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3(1), 46–51 (2007).
    [CrossRef]
  21. N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
    [CrossRef]
  22. N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
    [CrossRef] [PubMed]
  23. C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32(20), 2930–2932 (2007).
    [CrossRef] [PubMed]
  24. A. Ciattoni, B. Crosignani, and P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177(1-6), 9–13 (2000).
    [CrossRef]
  25. S. Blair, “Nonparaxial one-dimensional spatial solitons,” Chaos 10(3), 570–583 (2000).
    [CrossRef] [PubMed]
  26. M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
    [CrossRef]
  27. S. I. Bozhevolnyi and B. Vohnsen, “Near-field optical holography,” Phys. Rev. Lett. 77(16), 3351–3354 (1996).
    [CrossRef] [PubMed]
  28. B. Deutsch, R. Hillenbrand, and L. Novotny, “Near-field amplitude and phase recovery using phase-shifting interferometry,” Opt. Express 16(2), 494–501 (2008).
    [CrossRef] [PubMed]
  29. W. J. Tomlinson, J. P. Gordon, P. W. Smith, and A. E. Kaplan, “Reflection of a Gaussian beam at a nonlinear interface,” Appl. Opt. 21(11), 2041–2051 (1982).
    [CrossRef] [PubMed]
  30. O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
    [CrossRef] [PubMed]

2009 (1)

C. Barsi, W. Wan, and J. W. Fleischer, “Imaging through nonlinear media via digital holography,” Nat. Photonics 3(4), 211–215 (2009).
[CrossRef]

2008 (2)

2007 (3)

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32(20), 2930–2932 (2007).
[CrossRef] [PubMed]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive, superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3(1), 46–51 (2007).
[CrossRef]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
[CrossRef] [PubMed]

2006 (1)

2004 (1)

2003 (5)

M. Tsang, D. Psaltis, and F. G. Omenetto, “Reverse propagation of femtosecond pulses in optical fibers,” Opt. Lett. 28(20), 1873–1875 (2003).
[CrossRef] [PubMed]

M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
[CrossRef]

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
[CrossRef] [PubMed]

2002 (3)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13(9), R85–R101 (2002).
[CrossRef]

Z. Liu, M. Centurion, G. Panotopoulos, J. Hong, and D. Psaltis, “Holographic recording of fast events on a CCD camera,” Opt. Lett. 27(1), 22–24 (2002).
[CrossRef] [PubMed]

2000 (3)

A. Ciattoni, B. Crosignani, and P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177(1-6), 9–13 (2000).
[CrossRef]

S. Blair, “Nonparaxial one-dimensional spatial solitons,” Chaos 10(3), 570–583 (2000).
[CrossRef] [PubMed]

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
[CrossRef]

1998 (1)

E. R. Dufresne and D. G. Grier, “Optical tweezer arrays and optical substrates created with diffractive optics,” Rev. Sci. Instrum. 69(5), 1974–1977 (1998).
[CrossRef]

1997 (1)

1996 (1)

S. I. Bozhevolnyi and B. Vohnsen, “Near-field optical holography,” Phys. Rev. Lett. 77(16), 3351–3354 (1996).
[CrossRef] [PubMed]

1995 (1)

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

1993 (1)

1991 (1)

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

1990 (1)

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

1982 (1)

1979 (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

1948 (1)

D. Gabor, “A new microscopic principle,” Nature 161(4098), 777–778 (1948).
[CrossRef] [PubMed]

Balciunas, T.

Band, Y. B.

M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
[CrossRef]

Barsi, C.

C. Barsi, W. Wan, and J. W. Fleischer, “Imaging through nonlinear media via digital holography,” Nat. Photonics 3(4), 211–215 (2009).
[CrossRef]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32(20), 2930–2932 (2007).
[CrossRef] [PubMed]

Blair, S.

S. Blair, “Nonparaxial one-dimensional spatial solitons,” Chaos 10(3), 570–583 (2000).
[CrossRef] [PubMed]

Bozhevolnyi, S. I.

S. I. Bozhevolnyi and B. Vohnsen, “Near-field optical holography,” Phys. Rev. Lett. 77(16), 3351–3354 (1996).
[CrossRef] [PubMed]

Bretenaker, F.

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

Carmon, T.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

Centurion, M.

Cholis, I.

Christodoulides, D. N.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

Ciattoni, A.

A. Ciattoni, B. Crosignani, and P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177(1-6), 9–13 (2000).
[CrossRef]

Conti, C.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
[CrossRef] [PubMed]

Crosignani, B.

A. Ciattoni, B. Crosignani, and P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177(1-6), 9–13 (2000).
[CrossRef]

Deutsch, B.

Di Porto, P.

A. Ciattoni, B. Crosignani, and P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177(1-6), 9–13 (2000).
[CrossRef]

Dufresne, E. R.

E. R. Dufresne and D. G. Grier, “Optical tweezer arrays and optical substrates created with diffractive optics,” Rev. Sci. Instrum. 69(5), 1974–1977 (1998).
[CrossRef]

Efremidis, N. K.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

Emile, O.

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

Fleischer, J. W.

C. Barsi, W. Wan, and J. W. Fleischer, “Imaging through nonlinear media via digital holography,” Nat. Photonics 3(4), 211–215 (2009).
[CrossRef]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive, superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3(1), 46–51 (2007).
[CrossRef]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32(20), 2930–2932 (2007).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

Franco, M.

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
[CrossRef]

Gabor, D.

D. Gabor, “A new microscopic principle,” Nature 161(4098), 777–778 (1948).
[CrossRef] [PubMed]

Galstyan, T.

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

Ghofraniha, N.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
[CrossRef] [PubMed]

Gordon, J. P.

Grier, D. G.

Y. Roichman, I. Cholis, and D. G. Grier, “Volumetric imaging of holographic optical traps,” Opt. Express 14(22), 10907–10912 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-22-10907 .
[CrossRef] [PubMed]

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

E. R. Dufresne and D. G. Grier, “Optical tweezer arrays and optical substrates created with diffractive optics,” Rev. Sci. Instrum. 69(5), 1974–1977 (1998).
[CrossRef]

Hagan, D. J.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

Hänsch, T. W.

Hermann, J. A.

Hillenbrand, R.

Hong, J.

Jia, S.

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive, superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3(1), 46–51 (2007).
[CrossRef]

Jüptner, W. P. O.

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13(9), R85–R101 (2002).
[CrossRef]

Kaplan, A. E.

Kukhtarev, N. V.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

Le Floch, A

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

Liu, Z.

Markov, V. B.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

Matuszewski, M.

M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
[CrossRef]

McDuff, R. G.

Melninkaitis, A.

Mysyrowicz, A.

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
[CrossRef]

Novotny, L.

Odulov, S. G.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

Omenetto, F. G.

Panotopoulos, G.

Prade, B.

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
[CrossRef]

Psaltis, D.

Pu, Y.

Roichman, Y.

Ruocco, G.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
[CrossRef] [PubMed]

Said, A. A.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

Schnars, U.

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13(9), R85–R101 (2002).
[CrossRef]

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

Segev, M.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

Sheik-Bahae, M.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

Sirutkaitis, V.

Smith, P. W.

Soileau, M. J.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

Soskin, M. S.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

Sun, C.

Tamosauskas, G.

Tomlinson, W. J.

Trillo, S.

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
[CrossRef] [PubMed]

Trippenbach, M.

M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
[CrossRef]

Tsang, M.

Tzortzakis, S.

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
[CrossRef]

Van Stryland, E. W.

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

Vinetskii, V. L.

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

Vohnsen, B.

S. I. Bozhevolnyi and B. Vohnsen, “Near-field optical holography,” Phys. Rev. Lett. 77(16), 3351–3354 (1996).
[CrossRef] [PubMed]

Wan, W.

C. Barsi, W. Wan, and J. W. Fleischer, “Imaging through nonlinear media via digital holography,” Nat. Photonics 3(4), 211–215 (2009).
[CrossRef]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive, superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3(1), 46–51 (2007).
[CrossRef]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32(20), 2930–2932 (2007).
[CrossRef] [PubMed]

Wasilewski, W.

M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
[CrossRef]

Wei, T.-H.

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

Yamaguchi, I.

Zhang, T.

Appl. Opt. (1)

Chaos (1)

S. Blair, “Nonparaxial one-dimensional spatial solitons,” Chaos 10(3), 570–583 (2000).
[CrossRef] [PubMed]

Ferroelectrics (1)

N. V. Kukhtarev, V. B. Markov, S. G. Odulov, M. S. Soskin, and V. L. Vinetskii, “Holographic storage in Electrooptic Crystals I: Steady-State,” Ferroelectrics 22, 949–960 (1979).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Sheik-Bahae, A. A. Said, T.-H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26(4), 760–769 (1990).
[CrossRef]

J. Opt. Soc. Am. B (1)

Meas. Sci. Technol. (1)

U. Schnars and W. P. O. Jüptner, “Digital recording and numerical reconstruction of holograms,” Meas. Sci. Technol. 13(9), R85–R101 (2002).
[CrossRef]

Nat. Photonics (1)

C. Barsi, W. Wan, and J. W. Fleischer, “Imaging through nonlinear media via digital holography,” Nat. Photonics 3(4), 211–215 (2009).
[CrossRef]

Nat. Phys. (1)

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive, superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3(1), 46–51 (2007).
[CrossRef]

Nature (3)

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422(6928), 147–150 (2003).
[CrossRef] [PubMed]

D. Gabor, “A new microscopic principle,” Nature 161(4098), 777–778 (1948).
[CrossRef] [PubMed]

D. G. Grier, “A revolution in optical manipulation,” Nature 424(6950), 810–816 (2003).
[CrossRef] [PubMed]

Opt. Commun. (3)

S. Tzortzakis, B. Prade, M. Franco, and A. Mysyrowicz, “Time-evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air,” Opt. Commun. 181(1-3), 123–127 (2000).
[CrossRef]

M. Matuszewski, W. Wasilewski, M. Trippenbach, and Y. B. Band, “Self-consistent treatment of the full vectorial nonlinear optical pulse propagation equation in an isotropic medium,” Opt. Commun. 221(4-6), 337–351 (2003).
[CrossRef]

A. Ciattoni, B. Crosignani, and P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177(1-6), 9–13 (2000).
[CrossRef]

Opt. Eng. (1)

M. Sheik-Bahae, A. A. Said, D. J. Hagan, M. J. Soileau, and E. W. Van Stryland, “Nonlinear refraction and optical limiting in thick media,” Opt. Eng. 30, 1228–1235 (1991).
[CrossRef]

Opt. Express (2)

Opt. Lett. (6)

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66( 2), 046602 (2002).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of discrete solitons in optically induced real time waveguide arrays,” Phys. Rev. Lett. 90(2), 023902 (2003).
[CrossRef] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99(4), 043903 (2007).
[CrossRef] [PubMed]

S. I. Bozhevolnyi and B. Vohnsen, “Near-field optical holography,” Phys. Rev. Lett. 77(16), 3351–3354 (1996).
[CrossRef] [PubMed]

O. Emile, T. Galstyan, F. Bretenaker, F. Bretenaker, and A Le Floch, “Measurement of the nonlinear Goos-Hänchen effect for Gaussian optical beams,” Phys. Rev. Lett. 75(8), 1511–1513 (1995).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

E. R. Dufresne and D. G. Grier, “Optical tweezer arrays and optical substrates created with diffractive optics,” Rev. Sci. Instrum. 69(5), 1974–1977 (1998).
[CrossRef]

Other (1)

T. Kreis, Handbook of Holographic Interferometry: Optical and Digital Methods (Wiley-VCH, Weinheim, Germany, 2005).

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 (4)

Fig. 1
Fig. 1

Experimental setup. A plano-convex lens focuses an ordinarily polarized Gaussian beam onto the photorefractive SBN:75 crystal to induce an axially-thick potential. The phase is captured by a phase-shifting technique with a piezo-actuated mirror. The plane wave probe beam is created by removing the lens and rotating the polarization so that it is parallel to the c-axis (extraordinary polarization).

Fig. 2
Fig. 2

Numerical reconstruction of ordinarily polarized beam. (a,b) Intensity and phase of measured input. (c,d) Intensity and phase of linear output. (e,f) Intensity and phase of measured nonlinear output. Note enhanced defocusing compared to the linear case. (g,h) Reconstructed input using Eq. (2). i) Intensity and j) phase cross sections through the beam center of reconstructed and measured inputs.

Fig. 3
Fig. 3

Reconstruction of axial index perturbation along its propagation direction. Note only slight defocusing of beam in both intensity and phase.

Fig. 4
Fig. 4

Semi-empirical simulation and experimental measurement of plane-wave scattering from potential. (a,b) Intensity and phase of simulated output, using measured input and reconstructed potential. (c,d) Experimental output of scattered wave. e) Intensity cross sections. f) Phase cross sections.

Equations (5)

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

i ψ z + 1 2 k 2 ψ + i Δ n ( ψ ) ψ + i V ( r ) ψ = 0 ,
ψ ( z + d z ) e d z D e d z N ( ψ ) e i d z V ψ ( z )
ψ ( z ) e i d z V e d z N ( ψ ) e d z D ψ ( z + d z ) ,
i ψ o z + 1 2 k o 2 ψ o + Δ n o ( ψ o ) ψ o = 0 ,
i ψ e z + 1 2 k e 2 ψ e + V e ( ψ o ) ψ e = 0 ,

Metrics