Abstract

We have shown that optically active second-harmonic generation is allowed in a uniaxial fluid medium. A homeotropically aligned chiral smectic-A liquid crystal was used as an example. Phase matching was achievable by angle tuning. Chiral nonlinear susceptibility for the liquid crystal was deduced. The signal dropped precipitously as the sample underwent the transition from smectic-A to isotropic.

© 2004 Optical Society of America

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References

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  1. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 2.
  2. M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
    [CrossRef] [PubMed]
  3. M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
    [CrossRef]
  4. T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).
  5. J. D. Byers and J. M. Hicks, Chem. Phys. Lett. 231, 216 (1994).
  6. N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
    [CrossRef]
  7. J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
    [CrossRef]
  8. N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
    [CrossRef]
  9. G. P. Sinha, B. Wen, and C. Rosenblatt, Appl. Phys. Lett. 79, 2543 (2001).
    [CrossRef]
  10. H. Hsiung and Y. R. Shen, Phys. Rev. A 34, 4303 (1986).
    [CrossRef] [PubMed]

2001

M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
[CrossRef]

G. P. Sinha, B. Wen, and C. Rosenblatt, Appl. Phys. Lett. 79, 2543 (2001).
[CrossRef]

2000

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

1999

N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
[CrossRef]

1994

J. D. Byers and J. M. Hicks, Chem. Phys. Lett. 231, 216 (1994).

1993

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

1991

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

1986

H. Hsiung and Y. R. Shen, Phys. Rev. A 34, 4303 (1986).
[CrossRef] [PubMed]

1985

N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
[CrossRef]

1984

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 2.

Barnik, M. I.

N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
[CrossRef]

Belkin, M. A.

M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
[CrossRef]

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

Beresnev, L. A.

N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
[CrossRef]

Blanca Ros, M.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Blinov, L. M.

N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
[CrossRef]

Byers, J. D.

J. D. Byers and J. M. Hicks, Chem. Phys. Lett. 231, 216 (1994).

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

Clark, N. A.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Doroski, D.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Ernst, K.-H.

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

Etxebarria, J.

N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
[CrossRef]

Folcia, C. L.

N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
[CrossRef]

Han, S. H.

M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
[CrossRef]

Hicks, J. M.

J. D. Byers and J. M. Hicks, Chem. Phys. Lett. 231, 216 (1994).

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

Hsiung, H.

H. Hsiung and Y. R. Shen, Phys. Rev. A 34, 4303 (1986).
[CrossRef] [PubMed]

Johnson, K. M.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Kulakov, T. A.

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

Liu, J.-Y.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Ortega, J.

N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
[CrossRef]

Pereda, N.

N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
[CrossRef]

Petralli-Mallow, T.

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

Robinson, M. G.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Rosenblatt, C.

G. P. Sinha, B. Wen, and C. Rosenblatt, Appl. Phys. Lett. 79, 2543 (2001).
[CrossRef]

Shao, R.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Shen, Y. R.

M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
[CrossRef]

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

H. Hsiung and Y. R. Shen, Phys. Rev. A 34, 4303 (1986).
[CrossRef] [PubMed]

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 2.

Shtykov, N. M.

N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
[CrossRef]

Sinha, G. P.

G. P. Sinha, B. Wen, and C. Rosenblatt, Appl. Phys. Lett. 79, 2543 (2001).
[CrossRef]

Walba, D. M.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

Wei, X.

M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
[CrossRef]

Wen, B.

G. P. Sinha, B. Wen, and C. Rosenblatt, Appl. Phys. Lett. 79, 2543 (2001).
[CrossRef]

Wong, T. M.

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

Yan, L.

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

Yee, H. I.

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

Appl. Phys. Lett.

G. P. Sinha, B. Wen, and C. Rosenblatt, Appl. Phys. Lett. 79, 2543 (2001).
[CrossRef]

Chem. Phys. Lett.

J. D. Byers and J. M. Hicks, Chem. Phys. Lett. 231, 216 (1994).

J. Appl. Phys.

J.-Y. Liu, M. G. Robinson, K. M. Johnson, D. M. Walba, M. Blanca Ros, N. A. Clark, R. Shao, and D. Doroski, J. Appl. Phys. 70, 3426 (1991).
[CrossRef]

J. Phys. Chem.

T. Petralli-Mallow, T. M. Wong, J. D. Byers, H. I. Yee, and J. M. Hicks, J. Phys. Chem. 97, 1383 (1993).

Liq. Cryst.

N. Pereda, C. L. Folcia, J. Etxebarria, and J. Ortega, Liq. Cryst. 26, 375 (1999).
[CrossRef]

Mol. Cryst. Liq. Cryst.

N. M. Shtykov, M. I. Barnik, L. A. Beresnev, and L. M. Blinov, Mol. Cryst. Liq. Cryst. 124, 379 (1985).
[CrossRef]

Phys. Rev. A

H. Hsiung and Y. R. Shen, Phys. Rev. A 34, 4303 (1986).
[CrossRef] [PubMed]

Phys. Rev. Lett.

M. A. Belkin, T. A. Kulakov, K.-H. Ernst, L. Yan, and Y. R. Shen, Phys. Rev. Lett. 85, 4474 (2000).
[CrossRef] [PubMed]

M. A. Belkin, S. H. Han, X. Wei, and Y. R. Shen, Phys. Rev. Lett. 87, 113001 (2001).
[CrossRef]

Other

Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chap. 2.

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Figures (3)

Fig. 1
Fig. 1

(a) Molecular structure of the chiral W314 LC molecule and the phase sequence, (b) geometry of a homeotropically aligned LC cell.

Fig. 2
Fig. 2

SHG from a homeotropically aligned film of W314 as a function of the incident angle near phase matching. The solid curve is the theoretical fit.

Fig. 3
Fig. 3

Temperature dependence of phase-matched SHG from W314. The smectic-A–isotropic phase transition occurred at 117.6 °C.

Equations (3)

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

SHGχeff22Eω4sec2αsin2Δkl/2Δkl/22×l2,  χeff2=L2ωeˆ2ω·χ2:LωeˆωLωeˆω,
χxyz2=-χyxz2=χxzy2=-χyzx2,
χeff2=χyxz2sin2αLyy2ωLxxωLzzω.

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