Abstract

We report self-pumped phase conjugation in a photorefractive liquid crystal light valve with a tilted feedback mirror. This is a new scheme for the self-generation of a phase-conjugate replica and can in general be applied to thin nonlinear layers, opening the way to distortion-correction applications of thin media.

© 2007 Optical Society of America

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References

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  1. A. Yariv and D. M. Pepper, Opt. Lett. 1, 16 (1977).
    [CrossRef] [PubMed]
  2. J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.
  3. J. Feinberg and R. MacDonald, Ref. , pp. 155, 170-179.
  4. S. Odoulov, M. Soskin, and A. Khizniak, Laser Science and Technology, Vol. 7 (Harwood, 1989).
  5. J. Feinberg, Opt. Lett. 7, 486 (1982).
    [CrossRef] [PubMed]
  6. I. C. Khoo, H. Li, and Y. Liang, Opt. Lett. 18, 1490 (1993).
    [CrossRef] [PubMed]
  7. A. Grunnet-Jepsen, C. L. Thompson, and W. E. Moerner, Science 277, 549 (1997).
    [CrossRef]
  8. Y. Shen, H.-K. Hsu, and S.-H. Chen, J. Opt. Soc. Am. B 20, 65 (2003).
    [CrossRef]
  9. A. Brignon, I. Bongrand, B. Loiseaux, and J. P. Huignard, Opt. Lett. 22, 1855 (1997).
    [CrossRef]
  10. U. Bortolozzo, S. Residori, A. Petrosyan, and J. P. Huignard, Opt. Commun. 263, 317 (2006).
    [CrossRef]
  11. H. F. Talbot, Philos. Mag. 9, 401 (1836).
  12. G. D'Alessandro and W. J. Firth, Phys. Rev. A 46, 537 (1992).
    [CrossRef] [PubMed]
  13. P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
    [CrossRef]
  14. M. Haelterman and G. Vitrant, J. Opt. Soc. Am. B 9, 1563 (1992).
    [CrossRef]
  15. A. Yariv, Optical Waves in Crystals (Wiley, 2003).
  16. U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 31, 2166 (2006).
    [CrossRef] [PubMed]

2006 (2)

U. Bortolozzo, S. Residori, A. Petrosyan, and J. P. Huignard, Opt. Commun. 263, 317 (2006).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 31, 2166 (2006).
[CrossRef] [PubMed]

2003 (1)

1997 (2)

A. Brignon, I. Bongrand, B. Loiseaux, and J. P. Huignard, Opt. Lett. 22, 1855 (1997).
[CrossRef]

A. Grunnet-Jepsen, C. L. Thompson, and W. E. Moerner, Science 277, 549 (1997).
[CrossRef]

1995 (1)

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

1993 (1)

1992 (2)

1982 (1)

1977 (1)

1836 (1)

H. F. Talbot, Philos. Mag. 9, 401 (1836).

Arecchi, F. T.

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

Bigazzi, P.

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

Bongrand, I.

Bortolozzo, U.

U. Bortolozzo, S. Residori, A. Petrosyan, and J. P. Huignard, Opt. Commun. 263, 317 (2006).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 31, 2166 (2006).
[CrossRef] [PubMed]

Brignon, A.

Chen, S.-H.

Cronin-Golomb, M.

J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.

D'Alessandro, G.

G. D'Alessandro and W. J. Firth, Phys. Rev. A 46, 537 (1992).
[CrossRef] [PubMed]

Feinberg, J.

J. Feinberg, Opt. Lett. 7, 486 (1982).
[CrossRef] [PubMed]

J. Feinberg and R. MacDonald, Ref. , pp. 155, 170-179.

Firth, W. J.

G. D'Alessandro and W. J. Firth, Phys. Rev. A 46, 537 (1992).
[CrossRef] [PubMed]

Fischer, B.

J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.

Grunnet-Jepsen, A.

A. Grunnet-Jepsen, C. L. Thompson, and W. E. Moerner, Science 277, 549 (1997).
[CrossRef]

Haelterman, M.

Hsu, H.-K.

Huignard, J. P.

Khizniak, A.

S. Odoulov, M. Soskin, and A. Khizniak, Laser Science and Technology, Vol. 7 (Harwood, 1989).

Khoo, I. C.

Kwong, S.-K.

J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.

Li, H.

Liang, Y.

Loiseaux, B.

MacDonald, R.

J. Feinberg and R. MacDonald, Ref. , pp. 155, 170-179.

Moerner, W. E.

A. Grunnet-Jepsen, C. L. Thompson, and W. E. Moerner, Science 277, 549 (1997).
[CrossRef]

Odoulov, S.

S. Odoulov, M. Soskin, and A. Khizniak, Laser Science and Technology, Vol. 7 (Harwood, 1989).

Pampaloni, E.

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

Pepper, D. M.

Petrosyan, A.

U. Bortolozzo, S. Residori, A. Petrosyan, and J. P. Huignard, Opt. Commun. 263, 317 (2006).
[CrossRef]

Ramazza, P. L.

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

Residori, S.

U. Bortolozzo, S. Residori, A. Petrosyan, and J. P. Huignard, Opt. Commun. 263, 317 (2006).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 31, 2166 (2006).
[CrossRef] [PubMed]

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

Shen, Y.

Soskin, M.

S. Odoulov, M. Soskin, and A. Khizniak, Laser Science and Technology, Vol. 7 (Harwood, 1989).

Talbot, H. F.

H. F. Talbot, Philos. Mag. 9, 401 (1836).

Thompson, C. L.

A. Grunnet-Jepsen, C. L. Thompson, and W. E. Moerner, Science 277, 549 (1997).
[CrossRef]

Vitrant, G.

White, J.

J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.

Yariv, A.

A. Yariv and D. M. Pepper, Opt. Lett. 1, 16 (1977).
[CrossRef] [PubMed]

J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.

A. Yariv, Optical Waves in Crystals (Wiley, 2003).

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

U. Bortolozzo, S. Residori, A. Petrosyan, and J. P. Huignard, Opt. Commun. 263, 317 (2006).
[CrossRef]

Opt. Lett. (5)

Philos. Mag. (1)

H. F. Talbot, Philos. Mag. 9, 401 (1836).

Phys. Rev. A (1)

G. D'Alessandro and W. J. Firth, Phys. Rev. A 46, 537 (1992).
[CrossRef] [PubMed]

Phys. Rev. E (1)

P. L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F. T. Arecchi, Phys. Rev. E 52, 5524 (1995).
[CrossRef]

Science (1)

A. Grunnet-Jepsen, C. L. Thompson, and W. E. Moerner, Science 277, 549 (1997).
[CrossRef]

Other (4)

J. White, S.-K. Kwong, M. Cronin-Golomb, B. Fischer, and A. Yariv, in Photorefractive Crystals and their Applications II, P.Gunter and J.P.Huignard, eds. (Springer-Verlag, 1989), pp. 135-150.

J. Feinberg and R. MacDonald, Ref. , pp. 155, 170-179.

S. Odoulov, M. Soskin, and A. Khizniak, Laser Science and Technology, Vol. 7 (Harwood, 1989).

A. Yariv, Optical Waves in Crystals (Wiley, 2003).

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Figures (5)

Fig. 1
Fig. 1

(a) Experimental setup. (b) Self-generation of the 4WM; PD is a photodiode.

Fig. 2
Fig. 2

Phase conjugation in the far field: (a) distorted zero-order beam, (b) corrected first-order beam.

Fig. 3
Fig. 3

Numerically calculated reflectivity of the SPPCM.

Fig. 4
Fig. 4

SPPCM reflectivity as a function of (a) the applied voltage V ( f = 2 kHz , I IN = 0.32 mW cm 2 ), (b) voltage frequency f ( V = 23.2 V , I IN = 0.32 mW cm 2 ), (c) pump intensity I IN ( V = 23.2 V , f = 2 kHz ).

Fig. 5
Fig. 5

(a) I TH versus the grating period Λ. (b) Tilt angle θ versus the separation L between the valve and the mirror.

Equations (4)

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τ d n q ( t ) d t = ( 1 + l d 2 q 2 ) n q n 2 I B S O ,
τ d n q ( t ) d t = ( 1 + l d 2 q 2 ) n q α sin ( q 2 L k ) n q e i 2 θ L q ,
τ σ = ( 1 + l d 2 q 2 ) α sin ( q 2 L k ) cos ( 2 θ L q ) ,
f d = α 2 π τ sin ( q 2 L k ) sin ( 2 θ L q ) ,

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