Abstract

By performing two-beam coupling experiments in a liquid-crystal light valve, we report a large slow-light birefringence (SLB) phenomenon, with orthogonal polarization states traveling at very different group velocities. We show that SLB can be exploited for realizing a common-path polarization interferometer able to detect phase variations with enhanced sensitivity.

© 2010 Optical Society of America

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  6. P. Gunter and J. P. Huignard, Photorefractive Materials and Their Applications 1 (Springer, 2006).
    [CrossRef]
  7. I. C. Khoo, Phys. Rep. 471, 221 (2009).
    [CrossRef]
  8. A. Brignon, I. Bongrand, B. Loiseaux, and J. P. Huignard, Opt. Lett. 22, 1855 (1997).
    [CrossRef]
  9. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena, 2nd ed. (Wiley Interscience, 2007).
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    [CrossRef]
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    [CrossRef]
  14. A. Zadok, S. Chin, L. Thévenaz, E. Zilka, A. Eyal, and M. Tur, Opt. Lett. 34, 2530 (2009).
    [CrossRef] [PubMed]

2009 (6)

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef] [PubMed]

I. C. Khoo, Phys. Rep. 471, 221 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

J. Scheuer, Opt. Lett. 34, 1630 (2009).
[CrossRef] [PubMed]

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

A. Zadok, S. Chin, L. Thévenaz, E. Zilka, A. Eyal, and M. Tur, Opt. Lett. 34, 2530 (2009).
[CrossRef] [PubMed]

2008 (2)

2007 (2)

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

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

2005 (1)

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

1997 (1)

Baird, G.

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

Bongrand, I.

Bortolozzo, U.

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

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

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

Boyd, R. W.

Brignon, A.

Chin, S.

Di Girolamo, S.

Dixon, P. B.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef] [PubMed]

Dudley, C. C.

Eyal, A.

Gauthier, D. J.

Gunter, P.

P. Gunter and J. P. Huignard, Photorefractive Materials and Their Applications 1 (Springer, 2006).
[CrossRef]

Habraken, S.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Howell, J. C.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef] [PubMed]

Huignard, J. P.

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

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

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

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

P. Gunter and J. P. Huignard, Photorefractive Materials and Their Applications 1 (Springer, 2006).
[CrossRef]

Jordan, A. N.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef] [PubMed]

Kamshilin, A. A.

Khoo, I. C.

I. C. Khoo, Phys. Rep. 471, 221 (2009).
[CrossRef]

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena, 2nd ed. (Wiley Interscience, 2007).

Kulchin, Y. N.

Launay, J. C.

Li, J.

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

Lin, Y.-H.

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

Lion, Y.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Loiseaux, B.

Michel, F.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Moreau, V.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Ren, H.

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

Renotte, Y.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Residori, S.

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

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

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

Romashko, R. V.

Rosso, V.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Scheuer, J.

Shi, Z.

Starling, D. J.

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef] [PubMed]

Thévenaz, L.

Tilkens, B.

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Tur, M.

Wu, S.-T.

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

Zadok, A.

Zilka, E.

Appl. Phys. B (1)

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

J. Soc. Inf. Disp. (1)

J. Li, G. Baird, Y.-H. Lin, H. Ren, and S.-T. Wu, J. Soc. Inf. Disp. 13/12, 1017 (2005).
[CrossRef]

Opt. Eng. (1)

V. Rosso, Y. Renotte, S. Habraken, Y. Lion, F. Michel, V. Moreau, and B. Tilkens, Opt. Eng. 46, 105601 (2007).
[CrossRef]

Opt. Express (1)

Opt. Lett. (5)

Phys. Rep. (1)

I. C. Khoo, Phys. Rep. 471, 221 (2009).
[CrossRef]

Phys. Rev. Lett. (2)

P. B. Dixon, D. J. Starling, A. N. Jordan, and J. C. Howell, Phys. Rev. Lett. 102, 173601 (2009).
[CrossRef] [PubMed]

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

Other (2)

P. Gunter and J. P. Huignard, Photorefractive Materials and Their Applications 1 (Springer, 2006).
[CrossRef]

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena, 2nd ed. (Wiley Interscience, 2007).

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Figures (6)

Fig. 1
Fig. 1

Experimental setup: the pump E p , vertically polarized, is sent onto the LCLV together with the input pulse E s , linearly polarized at 45 ° with respect to E p ; a polarizing cube (PBS) splits the output signal into its S and P components, each detected by a photodiode (PD).

Fig. 2
Fig. 2

(a) Experimentally recorded S and P output pulses and (b) relative delay Δ t between S and P output pulses as a function of the peak value V 0 peak of the voltage applied to the LCLV: frequency 70 Hz .

Fig. 3
Fig. 3

LC refractive indices n o and n e versus the light wavelength, in the presence of a two-beam coupling at λ = λ p ; the inset (a) shows a zoom around λ p ; (b) shows the corresponding group index n g e and n g o .

Fig. 4
Fig. 4

Output intensity I out P versus the frequency detuning Δ ν between pump and signal: solid curve, theoretical curve; black squares, experimental points.

Fig. 5
Fig. 5

Polarization interference patterns after the analyzer when the pump is (a) on and (b) off; the dashed line marks the diameter of the pump beam, and the cross indicates the location of the photodiode. (c) Temporal evolution of I out P : lower trace, pump off; upper trace, pump on; dashed line, phase modulation φ ( t ) .

Fig. 6
Fig. 6

(a) Temporal evolution of I out P (solid curve) for a sinusoidal phase modulation (dashed curve). (b) Frequency spectrum of the intensity for the slow-light interferometer (dark shaded area) and for a standard interferometer (light shaded area) under the same modulation.

Equations (3)

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τ LC n t = n + n c + n 2 I in ,
E e = E s 2 + i E p 2 k d n 2 2 I p I s 1 + ( 2 π Δ ν · τ L C ) 2 e i ψ
n e = 1 k d tan 1 [ k d n 2 I p cos ψ k d n 2 I p sin ψ + 1 + ( 2 π Δ ν · τ L C ) 2 ] + n c + n 2 ( I p + I s )

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