Abstract

A first-order optical Freedericksz transition in a nematic liquid crystal doped by a small quantity of a dichroic dye with negative dichroism is observed. The initial homeotropic state corresponds to maximum absorption for the linearly polarized incident beam, while reorientation reduces absorption increasing the optical torque: this process produces the positive feedback leading to the observed bistable behavior.

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References

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  1. N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
    [CrossRef]
  2. F. Simoni, Nonlinear Optical Properties of Liquid Crystals and Polymer Dispersed Liquid Crystals (World Scientific, 1997).
  3. G. Cipparrone, D. Duca, and N. V. Tabiryan, Opt. Commun. 140, 266 (1997).
    [CrossRef]
  4. Yu. S. Chilingaryan, S. R. Nersisyan, and N. V. Tabiryan, J. Phys. 46, 955 (1985).
    [CrossRef]
  5. H. L. Ong, Phys. Rev. A 28, 2393 (1983).
    [CrossRef]
  6. A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
    [CrossRef]
  7. E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
    [CrossRef]
  8. A. J. Karn, Y. R. Shen, and E. Santamato, Phys. Rev. A 41, 4510 (1990).
    [CrossRef]
  9. K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).
  10. E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
    [CrossRef]
  11. A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
    [CrossRef]
  12. H. L. Ong, Bull. Am. Phys. Soc. 35, 728 (1990).
  13. H. L. Ong, Mol. Cryst. Liq. Cryst. 561, 145 (2012).

2012 (2)

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

H. L. Ong, Mol. Cryst. Liq. Cryst. 561, 145 (2012).

2010 (1)

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

1997 (1)

G. Cipparrone, D. Duca, and N. V. Tabiryan, Opt. Commun. 140, 266 (1997).
[CrossRef]

1990 (2)

A. J. Karn, Y. R. Shen, and E. Santamato, Phys. Rev. A 41, 4510 (1990).
[CrossRef]

H. L. Ong, Bull. Am. Phys. Soc. 35, 728 (1990).

1989 (1)

K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).

1988 (1)

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

1986 (2)

N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
[CrossRef]

1985 (1)

Yu. S. Chilingaryan, S. R. Nersisyan, and N. V. Tabiryan, J. Phys. 46, 955 (1985).
[CrossRef]

1983 (1)

H. L. Ong, Phys. Rev. A 28, 2393 (1983).
[CrossRef]

Abbate, G.

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

Arakelian, S. M.

A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
[CrossRef]

Asatryan, K. E.

K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).

Babayan, E. A.

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Barnik, M. I.

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Boiko, N. I.

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Budagovsky, I. A.

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Calaselice, R.

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

Chilingaryan, Yu. S.

Yu. S. Chilingaryan, S. R. Nersisyan, and N. V. Tabiryan, J. Phys. 46, 955 (1985).
[CrossRef]

Cipparrone, G.

G. Cipparrone, D. Duca, and N. V. Tabiryan, Opt. Commun. 140, 266 (1997).
[CrossRef]

Duca, D.

G. Cipparrone, D. Duca, and N. V. Tabiryan, Opt. Commun. 140, 266 (1997).
[CrossRef]

Karn, A.

A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
[CrossRef]

Karn, A. J.

A. J. Karn, Y. R. Shen, and E. Santamato, Phys. Rev. A 41, 4510 (1990).
[CrossRef]

Maddalena, P.

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

Mkrtchyan, A. R.

K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).

Nersisyan, S. R.

K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).

Yu. S. Chilingaryan, S. R. Nersisyan, and N. V. Tabiryan, J. Phys. 46, 955 (1985).
[CrossRef]

Ong, H. L.

H. L. Ong, Mol. Cryst. Liq. Cryst. 561, 145 (2012).

H. L. Ong, Bull. Am. Phys. Soc. 35, 728 (1990).

A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
[CrossRef]

H. L. Ong, Phys. Rev. A 28, 2393 (1983).
[CrossRef]

Santamato, E.

A. J. Karn, Y. R. Shen, and E. Santamato, Phys. Rev. A 41, 4510 (1990).
[CrossRef]

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

Sasso, A.

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

Shen, Y. R.

A. J. Karn, Y. R. Shen, and E. Santamato, Phys. Rev. A 41, 4510 (1990).
[CrossRef]

A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
[CrossRef]

Shvetsov, S. A.

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Simoni, F.

F. Simoni, Nonlinear Optical Properties of Liquid Crystals and Polymer Dispersed Liquid Crystals (World Scientific, 1997).

Smaev, M. P.

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

Smayev, M. P.

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Sukhov, A. V.

N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

Tabiryan, N. V.

G. Cipparrone, D. Duca, and N. V. Tabiryan, Opt. Commun. 140, 266 (1997).
[CrossRef]

K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).

N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

Yu. S. Chilingaryan, S. R. Nersisyan, and N. V. Tabiryan, J. Phys. 46, 955 (1985).
[CrossRef]

Zel’dovich, B. Ya.

N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

Zolot’ko, A. S.

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Bull. Am. Phys. Soc. (1)

H. L. Ong, Bull. Am. Phys. Soc. 35, 728 (1990).

J. Phys. (1)

Yu. S. Chilingaryan, S. R. Nersisyan, and N. V. Tabiryan, J. Phys. 46, 955 (1985).
[CrossRef]

Mol. Cryst. Liq. Cryst. (2)

N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

H. L. Ong, Mol. Cryst. Liq. Cryst. 561, 145 (2012).

Opt. Commun. (1)

G. Cipparrone, D. Duca, and N. V. Tabiryan, Opt. Commun. 140, 266 (1997).
[CrossRef]

Phys. Rev. A (3)

H. L. Ong, Phys. Rev. A 28, 2393 (1983).
[CrossRef]

E. Santamato, G. Abbate, R. Calaselice, P. Maddalena, and A. Sasso, Phys. Rev. A 37, 1375 (1988).
[CrossRef]

A. J. Karn, Y. R. Shen, and E. Santamato, Phys. Rev. A 41, 4510 (1990).
[CrossRef]

Phys. Rev. E (1)

E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E 82, 0617051 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

A. Karn, S. M. Arakelian, Y. R. Shen, and H. L. Ong, Phys. Rev. Lett. 57, 448 (1986).
[CrossRef]

Quantum Electron. (1)

A. S. Zolot’ko, M. P. Smaev, S. A. Shvetsov, N. I. Boiko, and M. I. Barnik, Quantum Electron. 42, 327 (2012).
[CrossRef]

Sov. Phys. JETP (1)

K. E. Asatryan, A. R. Mkrtchyan, S. R. Nersisyan, and N. V. Tabiryan, Sov. Phys. JETP 68, 316 (1989).

Other (1)

F. Simoni, Nonlinear Optical Properties of Liquid Crystals and Polymer Dispersed Liquid Crystals (World Scientific, 1997).

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Figures (4)

Fig. 1.
Fig. 1.

Absorption bands of planar aligned NLC E7 doped with 0.7% of BD6. Cell thickness is 25 μm. (a) light polarization perpendicular to n; (b) light polarization parallel to n. The inset shows the difference of curve (a) and (b).

Fig. 2.
Fig. 2.

Number N of SPM rings at increasing (closed triangles) and decreasing (open triangles) optical power for E7+0.35% BD6.

Fig. 3.
Fig. 3.

Number N of SPM rings at increasing (closed triangles) and decreasing (open triangles) optical power for pure E7.

Fig. 4.
Fig. 4.

Number N of SPM rings at increasing optical power for E7+0.35% BD6 at different incidence angles.

Equations (7)

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

ΓOpt=12(unoc)Isin2θ(1usin2θ)32,
I=I0exp[k0Im(n˜)d],
n˜=none(no2sin2θ+ne2cos2θ)12,
I=I0exp{2k0d[no*+θ2(2nor3ne*3nor2no*ner+no*ner3)2ner3]}.
Γ=(k33π2/2d)[Cθm2Bθm3+O(θm5)],
B=Bo+Bdye<0.
Δ=PthupPthdownPthup=0.23

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