Abstract

Optical phase conjugation and slow light are obtained in dye-doped chiral nematics via degenerate four-wave mixing. The creation of the light-induced dynamical grating is described and the amplitude of the phase-conjugate wave is shown to follow the changes of the input signal, hence providing efficient distortion correction. Associated to these capabilities, slowing down of light pulses is obtained thanks to the dispersive properties of the wave mixing occurring in the cholesteric liquid crystals, opening the way to applications in interferometry and imaging through highly scattering media.

© 2012 Optical Society of America

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  2. A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley, 2004).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  21. D. K. Yang and S. T. Wu, Fundamentals of Liquid Crystal Devices (Wiley, 2006).

2012 (2)

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

D. Wei, A. Iljin, Z. Cai, S. Residori, and U. Bortolozzo, Opt. Lett. 37, 734 (2012).
[CrossRef]

2011 (1)

P. Mathey, G. Gadret, and K. Shcherbin, Phys. Rev. A 84, 063802 (2011).
[CrossRef]

2010 (2)

2009 (3)

V. Boychuk, I. Gerus, A. Iljin, and J. Parka, Opto-Electronics Rev. 17, 287 (2009).
[CrossRef]

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett 34, 2006 (2009).
[CrossRef]

2008 (1)

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef]

2007 (3)

2006 (1)

A. Iljin, V. Reshetnyak, S. Shelestiuk, and V. Yarmolenko, Mol. Cryst. Liq. Cryst. Lett. 453, 263 (2006).
[CrossRef]

1998 (1)

A. Miniewicz, S. Bartkiewicz, and J. Parka, Opt. Commun. 149, 89 (1998).
[CrossRef]

1993 (1)

Ali-Khan, I.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef]

Bartkiewicz, S.

A. Miniewicz, S. Bartkiewicz, and J. Parka, Opt. Commun. 149, 89 (1998).
[CrossRef]

Bortolozzo, U.

D. Wei, A. Iljin, Z. Cai, S. Residori, and U. Bortolozzo, Opt. Lett. 37, 734 (2012).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett 34, 2006 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 32, 829 (2007).
[CrossRef]

Boychuk, V.

V. Boychuk, I. Gerus, A. Iljin, and J. Parka, Opto-Electronics Rev. 17, 287 (2009).
[CrossRef]

Boyd, R. W.

Z. Shi, R. W. Boyd, D. J. Gauthier, and C. C. Dudley, Opt. Lett. 32, 915 (2007).
[CrossRef]

R. W. Boyd and D. J. Gauthier, in Progress in Optics, 43, E. Wolf, ed. (Elsevier Science, 2002), pp. 497–530.

Brignon, A.

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley, 2004).

Broadbent, C. J.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef]

Bunning, T. J.

Cai, Z.

Camacho, R. M.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef]

Coles, H.

H. Coles and S. Morris, Nat. Photonics 4, 676 (2010).
[CrossRef]

de Gennes, P. G.

P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford Science, 1993).

Dudley, C. C.

Fisher, R. A.

R. A. Fisher, Optical Phase Conjugation (Academic, 1983).

Gadret, G.

P. Mathey, G. Gadret, and K. Shcherbin, Phys. Rev. A 84, 063802 (2011).
[CrossRef]

Gauthier, D. J.

Z. Shi, R. W. Boyd, D. J. Gauthier, and C. C. Dudley, Opt. Lett. 32, 915 (2007).
[CrossRef]

R. W. Boyd and D. J. Gauthier, in Progress in Optics, 43, E. Wolf, ed. (Elsevier Science, 2002), pp. 497–530.

Gerus, I.

V. Boychuk, I. Gerus, A. Iljin, and J. Parka, Opto-Electronics Rev. 17, 287 (2009).
[CrossRef]

Hemmer, P. R.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Howell, J. C.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef]

Hrozhyk, U. A.

Huignard, J. P.

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett 34, 2006 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 32, 829 (2007).
[CrossRef]

Huignard, J.-P.

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley, 2004).

Iljin, A.

D. Wei, A. Iljin, Z. Cai, S. Residori, and U. Bortolozzo, Opt. Lett. 37, 734 (2012).
[CrossRef]

V. Boychuk, I. Gerus, A. Iljin, and J. Parka, Opto-Electronics Rev. 17, 287 (2009).
[CrossRef]

A. Iljin, V. Reshetnyak, S. Shelestiuk, and V. Yarmolenko, Mol. Cryst. Liq. Cryst. Lett. 453, 263 (2006).
[CrossRef]

Kamshilin, A. A.

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Khoo, I. C.

I. C. Khoo, H. Li, and Y. Liang, Opt. Lett. 18, 1490 (1993).
[CrossRef]

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, 1995).

Kim, C.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Kröll, S.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Kulchin, Y. N.

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Li, H.

Liang, Y.

Mathey, P.

P. Mathey, G. Gadret, and K. Shcherbin, Phys. Rev. A 84, 063802 (2011).
[CrossRef]

Miniewicz, A.

A. Miniewicz, S. Bartkiewicz, and J. Parka, Opt. Commun. 149, 89 (1998).
[CrossRef]

Morris, S.

H. Coles and S. Morris, Nat. Photonics 4, 676 (2010).
[CrossRef]

Parka, J.

V. Boychuk, I. Gerus, A. Iljin, and J. Parka, Opto-Electronics Rev. 17, 287 (2009).
[CrossRef]

A. Miniewicz, S. Bartkiewicz, and J. Parka, Opt. Commun. 149, 89 (1998).
[CrossRef]

Prost, J.

P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford Science, 1993).

Reshetnyak, V.

A. Iljin, V. Reshetnyak, S. Shelestiuk, and V. Yarmolenko, Mol. Cryst. Liq. Cryst. Lett. 453, 263 (2006).
[CrossRef]

Residori, S.

D. Wei, A. Iljin, Z. Cai, S. Residori, and U. Bortolozzo, Opt. Lett. 37, 734 (2012).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett 34, 2006 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 32, 829 (2007).
[CrossRef]

Rippe, L.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Romashko, R. V.

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Sabooni, M.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Serak, S. V.

Shcherbin, K.

P. Mathey, G. Gadret, and K. Shcherbin, Phys. Rev. A 84, 063802 (2011).
[CrossRef]

Shelestiuk, S.

A. Iljin, V. Reshetnyak, S. Shelestiuk, and V. Yarmolenko, Mol. Cryst. Liq. Cryst. Lett. 453, 263 (2006).
[CrossRef]

Shi, Z.

Tabiryan, N. V.

Wang, L. V.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Wei, D.

White, T. J.

Wu, S. T.

D. K. Yang and S. T. Wu, Fundamentals of Liquid Crystal Devices (Wiley, 2006).

Yang, D. K.

D. K. Yang and S. T. Wu, Fundamentals of Liquid Crystal Devices (Wiley, 2006).

Yarmolenko, V.

A. Iljin, V. Reshetnyak, S. Shelestiuk, and V. Yarmolenko, Mol. Cryst. Liq. Cryst. Lett. 453, 263 (2006).
[CrossRef]

Zhang, H.

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

Appl. Phys. Lett. (1)

H. Zhang, M. Sabooni, L. Rippe, C. Kim, S. Kröll, L. V. Wang, and P. R. Hemmer, Appl. Phys. Lett. 100, 131102(2012).
[CrossRef]

J. Appl. Phys. (1)

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Mol. Cryst. Liq. Cryst. Lett. (1)

A. Iljin, V. Reshetnyak, S. Shelestiuk, and V. Yarmolenko, Mol. Cryst. Liq. Cryst. Lett. 453, 263 (2006).
[CrossRef]

Nat. Photonics (1)

H. Coles and S. Morris, Nat. Photonics 4, 676 (2010).
[CrossRef]

Opt. Commun. (1)

A. Miniewicz, S. Bartkiewicz, and J. Parka, Opt. Commun. 149, 89 (1998).
[CrossRef]

Opt. Express (1)

Opt. Lett (1)

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett 34, 2006 (2009).
[CrossRef]

Opt. Lett. (4)

Opto-Electronics Rev. (1)

V. Boychuk, I. Gerus, A. Iljin, and J. Parka, Opto-Electronics Rev. 17, 287 (2009).
[CrossRef]

Phys. Rev. A (1)

P. Mathey, G. Gadret, and K. Shcherbin, Phys. Rev. A 84, 063802 (2011).
[CrossRef]

Phys. Rev. Lett. (2)

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef]

Other (6)

R. W. Boyd and D. J. Gauthier, in Progress in Optics, 43, E. Wolf, ed. (Elsevier Science, 2002), pp. 497–530.

D. K. Yang and S. T. Wu, Fundamentals of Liquid Crystal Devices (Wiley, 2006).

R. A. Fisher, Optical Phase Conjugation (Academic, 1983).

A. Brignon and J.-P. Huignard, Phase Conjugate Laser Optics (Wiley, 2004).

P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford Science, 1993).

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, 1995).

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Figures (5)

Fig. 1.
Fig. 1.

Experimental setup. E1, E2, counterpropagating pumps; E3, signal; E4, phase-conjugate beam. E4 is recorded either with the photodiode (PD) or by a charge-coupled device (CCD) camera. BS, beam splitter; QWP, quarter-wave plate; EOM, electro-optic modulator; D, phase-distorting medium. In the inset, the plastic sheet used as a distorting medium.

Fig. 2.
Fig. 2.

Experimental snapshots of the phase-conjugate beam (a) without and (b) with the plastic sheet. (c) Signal beam through the same distorter and back and forth an ordinary mirror when removing the CLC cell.

Fig. 3.
Fig. 3.

(a) Reflective bands measured at different illumination powers. (b) Band edges λR (squares) and λL (circles) versus the laser intensity; the solid line is a best fit with the phenomenological expression for λR (see text); the dashed line is a guide for the eyes.

Fig. 4.
Fig. 4.

Phase-conjugate mirror reflectivity R versus (a) polarization and (b) intensity of the signal.

Fig. 5.
Fig. 5.

(a) Experimental time dependencies of the output phase-conjugate pulse |E4|2 and input pulse |E3|2; t0=78.6ms. (b) Group delay Δt versus t0, both normalized to the medium response time τ.

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