Abstract

We introduce quasi-periodic Fibonaccian phase defects into single-pitched cholesteric liquid crystalline systems. Numerical simulations of reflection spectra from the proposed systems demonstrate simultaneous red, green, and blue reflections or multiple photonic band gaps. Fundamental optical properties are discussed as functions of phase jump (orientational defect angles), unit lengths and the orders of Fibonacci systems.

© 2007 Optical Society of America

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  1. A. G. Barriuso, J. J. Monzon, L. L. Sanshez-Soto, and A. Felipe, “Comparing omnidirectional reflection from periodic and quasiperiodic one-dimensional photonic crystals,” Opt. Express 13,3913–3920 (2005).
    [Crossref] [PubMed]
  2. W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
    [Crossref] [PubMed]
  3. R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
    [Crossref]
  4. L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).
  5. M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
    [Crossref]
  6. L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
    [Crossref]
  7. M. S. Vasconcelos and E. L. Albuquerque, “Transmission fingerprints in quasiperiodic dielectric multilayers,” Phys. Rev. B 59,11128–11131 (1999).
    [Crossref]
  8. C. Li, X. Zhang, and Z. Cao, “Triangular and Fibonacci number patterns driven by stress on core/shell microstructures,” Science 309,909–911 (2005).
    [Crossref] [PubMed]
  9. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed., (Clarendon, Oxford, UK, 1993).
  10. J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
    [Crossref]
  11. G. D. Filpo, F. P. Nicoletta, and G. Chidichimo, “Cholesteric emulsions for colored displays,” Adv. Mater. 17,1150–1152 (2005).
    [Crossref]
  12. T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
    [Crossref]
  13. M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
    [Crossref]
  14. I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
    [Crossref]
  15. V. I. Kopp and A. Z. Genack, “Twist defect in chiral photonic structures,” Phys. Rev. Lett. 89,0339011–0339014 (2002).
    [Crossref]
  16. H. Hoshi, K. Ishikawa, and H. Takezoe, “Optical second-harmonic generation enhanced by a twist defect in ferroelectric liquid crystals,” Phys. Rev. E 68,0207011–0207013 (2003).
    [Crossref]
  17. J. Schmidtke, W. Stille, and H. Finkelmann, “Defect mode emission of a dye doped cholesteric polymer network,” Phys. Rev. Lett. 90,0839021–083902 (2003).
    [Crossref]
  18. D. W. Berreman, “Optics in stratified and anisotropic media: 4×4-matrix formation,” J. Opt. Soc. Am. 62,502–510 (1972).
    [Crossref]

2006 (1)

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

2005 (5)

G. D. Filpo, F. P. Nicoletta, and G. Chidichimo, “Cholesteric emulsions for colored displays,” Adv. Mater. 17,1150–1152 (2005).
[Crossref]

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

A. G. Barriuso, J. J. Monzon, L. L. Sanshez-Soto, and A. Felipe, “Comparing omnidirectional reflection from periodic and quasiperiodic one-dimensional photonic crystals,” Opt. Express 13,3913–3920 (2005).
[Crossref] [PubMed]

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

C. Li, X. Zhang, and Z. Cao, “Triangular and Fibonacci number patterns driven by stress on core/shell microstructures,” Science 309,909–911 (2005).
[Crossref] [PubMed]

2004 (1)

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

2003 (4)

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

H. Hoshi, K. Ishikawa, and H. Takezoe, “Optical second-harmonic generation enhanced by a twist defect in ferroelectric liquid crystals,” Phys. Rev. E 68,0207011–0207013 (2003).
[Crossref]

J. Schmidtke, W. Stille, and H. Finkelmann, “Defect mode emission of a dye doped cholesteric polymer network,” Phys. Rev. Lett. 90,0839021–083902 (2003).
[Crossref]

2002 (2)

V. I. Kopp and A. Z. Genack, “Twist defect in chiral photonic structures,” Phys. Rev. Lett. 89,0339011–0339014 (2002).
[Crossref]

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

2000 (1)

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

1999 (1)

M. S. Vasconcelos and E. L. Albuquerque, “Transmission fingerprints in quasiperiodic dielectric multilayers,” Phys. Rev. B 59,11128–11131 (1999).
[Crossref]

1994 (1)

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
[Crossref] [PubMed]

1972 (1)

Albuquerque, E. L.

M. S. Vasconcelos and E. L. Albuquerque, “Transmission fingerprints in quasiperiodic dielectric multilayers,” Phys. Rev. B 59,11128–11131 (1999).
[Crossref]

Amemiya, K.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Barriuso, A. G.

Berreman, D. W.

Cao, Z.

C. Li, X. Zhang, and Z. Cao, “Triangular and Fibonacci number patterns driven by stress on core/shell microstructures,” Science 309,909–911 (2005).
[Crossref] [PubMed]

Chidichimo, G.

G. D. Filpo, F. P. Nicoletta, and G. Chidichimo, “Cholesteric emulsions for colored displays,” Adv. Mater. 17,1150–1152 (2005).
[Crossref]

Colocci, M.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Doornkamp, C.

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

Duan, X.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Felipe, A.

Filpo, G. D.

G. D. Filpo, F. P. Nicoletta, and G. Chidichimo, “Cholesteric emulsions for colored displays,” Adv. Mater. 17,1150–1152 (2005).
[Crossref]

Finkelmann, H.

J. Schmidtke, W. Stille, and H. Finkelmann, “Defect mode emission of a dye doped cholesteric polymer network,” Phys. Rev. Lett. 90,0839021–083902 (2003).
[Crossref]

Gaburro, Z.

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Gellermann, W.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
[Crossref] [PubMed]

Genack, A. Z.

V. I. Kopp and A. Z. Genack, “Twist defect in chiral photonic structures,” Phys. Rev. Lett. 89,0339011–0339014 (2002).
[Crossref]

Gennes, P. G. de

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

Ghulinyan, M.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

Ha, N. Y.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Haavisto, J.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Hodgkinson, I. J.

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

Hoshi, H.

H. Hoshi, K. Ishikawa, and H. Takezoe, “Optical second-harmonic generation enhanced by a twist defect in ferroelectric liquid crystals,” Phys. Rev. E 68,0207011–0207013 (2003).
[Crossref]

Hu, A.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

Huang, X. Q.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

Ishikawa, K.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

H. Hoshi, K. Ishikawa, and H. Takezoe, “Optical second-harmonic generation enhanced by a twist defect in ferroelectric liquid crystals,” Phys. Rev. E 68,0207011–0207013 (2003).
[Crossref]

Jiang, S. S.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

Johnson, P.

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Kim, S. -N.

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

Kimerling, L. C.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Kohmoto, M.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
[Crossref] [PubMed]

Kopp, V. I.

V. I. Kopp and A. Z. Genack, “Twist defect in chiral photonic structures,” Phys. Rev. Lett. 89,0339011–0339014 (2002).
[Crossref]

Kurihara, S.

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

Lagendijk, A.

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Lakhtakia, A.

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

LeBlanc, J.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Li, C.

C. Li, X. Zhang, and Z. Cao, “Triangular and Fibonacci number patterns driven by stress on core/shell microstructures,” Science 309,909–911 (2005).
[Crossref] [PubMed]

Lub, J.

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

Mazzer, M.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

McCall, M. W.

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

Michel, J.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Monzon, J. J.

Moritsugu, M.

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

Negro, L. D.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Nicoletta, F. P.

G. D. Filpo, F. P. Nicoletta, and G. Chidichimo, “Cholesteric emulsions for colored displays,” Adv. Mater. 17,1150–1152 (2005).
[Crossref]

Nishimura, S.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Nonaka, T.

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

Ogata, T.

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

Oton, C. J.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Park, B.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Pavesi, L.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Peng, R. W.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

Prost, J.

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

Qiu, F.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

Righini, R.

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Sanshez-Soto, L. L.

Sapienza, R.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

Schmidtke, J.

J. Schmidtke, W. Stille, and H. Finkelmann, “Defect mode emission of a dye doped cholesteric polymer network,” Phys. Rev. Lett. 90,0839021–083902 (2003).
[Crossref]

Song, M. H.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Stille, W.

J. Schmidtke, W. Stille, and H. Finkelmann, “Defect mode emission of a dye doped cholesteric polymer network,” Phys. Rev. Lett. 90,0839021–083902 (2003).
[Crossref]

Stolfi, M.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Sutherland, B.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
[Crossref] [PubMed]

Takanishi, Y.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Takezoe, H.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

H. Hoshi, K. Ishikawa, and H. Takezoe, “Optical second-harmonic generation enhanced by a twist defect in ferroelectric liquid crystals,” Phys. Rev. E 68,0207011–0207013 (2003).
[Crossref]

Taylor, P. C.

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
[Crossref] [PubMed]

Thorn, K. E.

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

Toyooka, T.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Vasconcelos, M. S.

M. S. Vasconcelos and E. L. Albuquerque, “Transmission fingerprints in quasiperiodic dielectric multilayers,” Phys. Rev. B 59,11128–11131 (1999).
[Crossref]

Vogels, J. P. A.

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

Wang, M.

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

Wegh, R. T.

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

Wiersma, D. S.

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Witte, P.

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

Wu, J. W.

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Wu, Q. H.

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

Yi, Y.

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

Yoshioka, T.

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

Zhang, X.

C. Li, X. Zhang, and Z. Cao, “Triangular and Fibonacci number patterns driven by stress on core/shell microstructures,” Science 309,909–911 (2005).
[Crossref] [PubMed]

Adv. Mater. (4)

J. Lub, P. Witte, C. Doornkamp, J. P. A. Vogels, and R. T. Wegh, “Stable photopatterned cholesteric layers made by photoisomerization and subsequent photopolymerization for use as color filters in liquid-crystal displays,” Adv. Mater. 15,1420–1425 (2003).
[Crossref]

G. D. Filpo, F. P. Nicoletta, and G. Chidichimo, “Cholesteric emulsions for colored displays,” Adv. Mater. 17,1150–1152 (2005).
[Crossref]

T. Yoshioka, T. Ogata, T. Nonaka, M. Moritsugu, S. -N. Kim, and S. Kurihara, “Reversible-photon-mode full-color display by means of photochemical modulation of a helically cholesteric structure,” Adv. Mater. 17,1226–1229 (2005).
[Crossref]

M. H. Song, N. Y. Ha, K. Amemiya, B. Park, Y. Takanishi, K. Ishikawa, J. W. Wu, S. Nishimura, T. Toyooka, and H. Takezoe, “Defect-mode lasing with lowered threshold in a three-layered hetero-cholesteric liquid-crystal structure,” Adv. Mater. 18,193–197 (2006).
[Crossref]

Appl. Phys. Lett. (2)

R. W. Peng, X. Q. Huang, F. Qiu, M. Wang, A. Hu, S. S. Jiang, and M. Mazzer, “Symmetry-induced perfect transmission of light waves in quasiperiodic dielectric multilayers,” Appl. Phys. Lett. 80,3063–3065 (2002).
[Crossref]

L. D. Negro, M. Stolfi, Y. Yi, J. Michel, X. Duan, L. C. Kimerling, J. LeBlanc, and J. Haavisto, “Photon band gap properties and omnidirectional reflectance in Si/SiO2 Thue-Morse quasicrystals,” Appl. Phys. Lett. 84,5186–5188 (2004).
[Crossref]

J. Opt. Soc. Am. (1)

Opt. Commun. (1)

I. J. Hodgkinson, Q. H. Wu, K. E. Thorn, A. Lakhtakia, and M. W. McCall, “Spaceless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184,57–66 (2000).
[Crossref]

Opt. Express (1)

Phys. Rev. B (2)

M. S. Vasconcelos and E. L. Albuquerque, “Transmission fingerprints in quasiperiodic dielectric multilayers,” Phys. Rev. B 59,11128–11131 (1999).
[Crossref]

M. Ghulinyan, C. J. Oton, L. D. Negro, L. Pavesi, R. Sapienza, M. Colocci, and D. S. Wiersma, “Light-pulse propagation in Fibonacci quasicrystals,” Phys. Rev. B 71,0942041–0942048 (2005).
[Crossref]

Phys. Rev. E (1)

H. Hoshi, K. Ishikawa, and H. Takezoe, “Optical second-harmonic generation enhanced by a twist defect in ferroelectric liquid crystals,” Phys. Rev. E 68,0207011–0207013 (2003).
[Crossref]

Phys. Rev. Lett. (4)

J. Schmidtke, W. Stille, and H. Finkelmann, “Defect mode emission of a dye doped cholesteric polymer network,” Phys. Rev. Lett. 90,0839021–083902 (2003).
[Crossref]

V. I. Kopp and A. Z. Genack, “Twist defect in chiral photonic structures,” Phys. Rev. Lett. 89,0339011–0339014 (2002).
[Crossref]

W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, “Localization of light waves in Fibonacci dielectric multilayers,” Phys. Rev. Lett. 72,633–636 (1994).
[Crossref] [PubMed]

L. D. Negro, C. J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D. S. Wiersma, “Light transport through the band-edge states of Fibonacci quasicrystals,” Phys. Rev. Lett. 90,0555011–0555014 (2003).

Science (1)

C. Li, X. Zhang, and Z. Cao, “Triangular and Fibonacci number patterns driven by stress on core/shell microstructures,” Science 309,909–911 (2005).
[Crossref] [PubMed]

Other (1)

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

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Figures (4)

Fig. 1.
Fig. 1.

(Color online) Schematic view of Fibonaccian defects in periodic cholesteric structures: F 2={AB} and F 3={BAB} with ϕ=0 and ϕ=π/2. A (blue) and B (red) are two units of the quasi-periodic Fibonacci system, i.e., F 0={A} and F 1={B}. ϕ is an orientational defect angle between the molecular director in A layer and that in B layer at the interface (yellow).

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Fig. 2.
Fig. 2.

(Color online) Reflection spectra for the Fibonacci system F 4={ABBAB} with orientational defect angles (a) ϕ=0, (b) ϕ=π/3, (c) ϕ=π/2, and (d) ϕ=π/6. For all simulations, we have considered a RCP incident light and the R-CLC with refractive indices ne =1.78 and no =1.56, an optical pitch λP =532nm, and an unit length of A or B layer UL =1P.

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Fig. 3.
Fig. 3.

(Color online) Reflection spectra for the Fibonacci systems F 5={BABABBAB}, F 6={ABBABBABABBAB}, and F 7={BABABBABABBABBABABBAB} with orientational defect angles (a) ϕ=π/3 and (b) π/2. Simulation conditions for CLCs and incident lights are the same as those of Fig. 2. Colors represent the reflectance calculated from the Fibonacci systems.

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Fig. 4.
Fig. 4.

(Color online) Reflection spectra as a function of the unit length UL for the Fibonacci systems (a)F 4, (b)F 5, (c)F 6, and (d)F 7 with an orientational defect angle ϕ=π/3. UL is normalized with a cholesteric pitch P. Simulation conditions are fixed as those employed for calculations in Fig. 2 and colors refer to reflectance of the systems.

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