Abstract

Cholesteric liquid crystals are known to possess bandgap and exhibit strong reflection for one of two circular polarizations of light. We suggest a periodically twisted nematic liquid crystal as a medium, which possesses bandgap and exhibits strong reflection for any polarization of normally incident light. Two possible structures are considered: a sinusoidal modulation profile and a rectangular modulation profile. In both cases, the maximum bandgap of a periodically twisted structure is approximately twice as narrow as that of cholesterics. However, the polarization properties of these structures may make them more advantageous than cholesterics in a variety of applications.

© 2006 Optical Society of America

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  1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, 1993).
  2. L. M. Blinov and V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer-Verlag, 1996).
  3. I. C. Khoo and S. T. Wu, Optics and Nonlinear Optics of Liquid Crystals (World Scientific, 1993).
  4. V. A. Belyakov, Diffraction Optics of Complex-Structured Periodic Media (Springer-Verlag, 1992).
  5. E. I. Katz, Sov. Phys. JETP 32, 1004 (1971).
  6. R. S. Akopyan, B. Ya. Zel'dovich, and N. V. Tabiryan, Sov. Phys. JETP 56, 1024 (1982).
  7. N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel'dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
  8. H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
  9. B. Ya. Zeldovich, A. V. Mamaev, and V. V. Shkunov, Speckle-Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, 1995).
  10. N. V. Tabirian, A. V. Sukhov, and B. Ya. Zeldovich, J. Opt. Soc. Am. B 18, 1203 (2001).
  11. H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).
  12. N. Tabiryan, U. Hrozhyk, and S. Serak, Phys. Rev. Lett. 93, 113901 (2004).
    [CrossRef]
  13. I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

2005 (2)

H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

2004 (1)

N. Tabiryan, U. Hrozhyk, and S. Serak, Phys. Rev. Lett. 93, 113901 (2004).
[CrossRef]

2001 (1)

1986 (1)

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

1982 (1)

R. S. Akopyan, B. Ya. Zel'dovich, and N. V. Tabiryan, Sov. Phys. JETP 56, 1024 (1982).

1971 (1)

E. I. Katz, Sov. Phys. JETP 32, 1004 (1971).

1969 (1)

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).

Akopyan, R. S.

R. S. Akopyan, B. Ya. Zel'dovich, and N. V. Tabiryan, Sov. Phys. JETP 56, 1024 (1982).

Belyakov, V. A.

V. A. Belyakov, Diffraction Optics of Complex-Structured Periodic Media (Springer-Verlag, 1992).

Blinov, L. M.

L. M. Blinov and V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer-Verlag, 1996).

Chigrinov, V. G.

L. M. Blinov and V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer-Verlag, 1996).

de Gennes, P. G.

P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, 1993).

Guizar-Iturbide, I.

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

Hrozhyk, U.

N. Tabiryan, U. Hrozhyk, and S. Serak, Phys. Rev. Lett. 93, 113901 (2004).
[CrossRef]

Katz, E. I.

E. I. Katz, Sov. Phys. JETP 32, 1004 (1971).

Khoo, I. C.

I. C. Khoo and S. T. Wu, Optics and Nonlinear Optics of Liquid Crystals (World Scientific, 1993).

Kogelnik, H.

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).

Lazo-Martinez, I.

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

Mamaev, A. V.

B. Ya. Zeldovich, A. V. Mamaev, and V. V. Shkunov, Speckle-Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, 1995).

Olivares-Perez, A.

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

Prost, J.

P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, 1993).

Ramos-Garcia, R.

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

Sarkissian, H.

H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).

Serak, S.

N. Tabiryan, U. Hrozhyk, and S. Serak, Phys. Rev. Lett. 93, 113901 (2004).
[CrossRef]

Shkunov, V. V.

B. Ya. Zeldovich, A. V. Mamaev, and V. V. Shkunov, Speckle-Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, 1995).

Sukhov, A. V.

N. V. Tabirian, A. V. Sukhov, and B. Ya. Zeldovich, J. Opt. Soc. Am. B 18, 1203 (2001).

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

Tabirian, N.

H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).

Tabirian, N. V.

Tabiryan, N.

N. Tabiryan, U. Hrozhyk, and S. Serak, Phys. Rev. Lett. 93, 113901 (2004).
[CrossRef]

Tabiryan, N. V.

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

R. S. Akopyan, B. Ya. Zel'dovich, and N. V. Tabiryan, Sov. Phys. JETP 56, 1024 (1982).

Trevino-Palacios, C. G.

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

Tsai, C. C.

H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).

Wu, S. T.

I. C. Khoo and S. T. Wu, Optics and Nonlinear Optics of Liquid Crystals (World Scientific, 1993).

Zeldovich, B.

H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).

Zeldovich, B. Ya.

N. V. Tabirian, A. V. Sukhov, and B. Ya. Zeldovich, J. Opt. Soc. Am. B 18, 1203 (2001).

B. Ya. Zeldovich, A. V. Mamaev, and V. V. Shkunov, Speckle-Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, 1995).

Zel'dovich, B. Ya.

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

R. S. Akopyan, B. Ya. Zel'dovich, and N. V. Tabiryan, Sov. Phys. JETP 56, 1024 (1982).

Bell Syst. Tech. J. (1)

H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).

J. Opt. Soc Am. B (1)

H. Sarkissian, C. C. Tsai, B. Zeldovich, and N. Tabirian, J. Opt. Soc Am. B 22, 2628 (2005).

J. Opt. Soc. Am. B (1)

Mol. Cryst. Liq. Cryst. (1)

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

Phys. Rev. Lett. (1)

N. Tabiryan, U. Hrozhyk, and S. Serak, Phys. Rev. Lett. 93, 113901 (2004).
[CrossRef]

Proc. SPIE (1)

I. Lazo-Martinez, I. Guizar-Iturbide, A. Olivares-Perez, C. G. Trevino-Palacios, and R. Ramos-Garcia, in Proc. SPIE 5936, 59360Y (2005).

Sov. Phys. JETP (2)

E. I. Katz, Sov. Phys. JETP 32, 1004 (1971).

R. S. Akopyan, B. Ya. Zel'dovich, and N. V. Tabiryan, Sov. Phys. JETP 56, 1024 (1982).

Other (5)

B. Ya. Zeldovich, A. V. Mamaev, and V. V. Shkunov, Speckle-Wave Interactions in Application to Holography and Nonlinear Optics (CRC Press, 1995).

P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, 1993).

L. M. Blinov and V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer-Verlag, 1996).

I. C. Khoo and S. T. Wu, Optics and Nonlinear Optics of Liquid Crystals (World Scientific, 1993).

V. A. Belyakov, Diffraction Optics of Complex-Structured Periodic Media (Springer-Verlag, 1992).

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