Abstract

This paper discusses the propagation of light through a planar layer of a chiral photonic crystal (CPC). One limiting case is studied, namely the case of an absorbing CPC in the absence of local refraction. The features of the reflection spectra, the rotation of the plane of polarization, and the polarization ellipticity are investigated both in the absence of dielectric boundaries and in their presence. The properties of the eigenpolarizations are studied.

© 2008 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |

  1. P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).
  2. V. A. Belyakov and A. S. Sonin, The Optics of Cholesteric Liquid Crystals (Nauka, Moscow, 1982).
  3. L. J. Hodgkinson, Q. H. Wu, K. E. Torn, A. Lakhtakia, and M. W. McCall, “Spacerless circular-polarization spectral-hole filters using chiral sculptured thin films: theory and experiment,” Opt. Commun. 184, 57 (2000).
    [CrossRef]
  4. K. Robbie, D. J. Broer, and M. J. Brett, “Chiral nematic order in liquid crystals imposed by an engineered inorganic nanostructure,” Nature (London) 399, 764 (1999).
    [CrossRef]
  5. D. Subacius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, “Cholesteric gratings with field-controlled period,” Appl. Phys. Lett. 71, 3323 (1997).
    [CrossRef]
  6. K. A. Suresh, S. Yuvaraj, P. B. S. Kumar, and G. S. Ranganath, “Optical diffraction in chiral-C liquid crystals,” Phys. Rev. Lett. 72, 2863 (1994).
    [CrossRef]
  7. A. Lakhtakia and M. McCall, “Sculptured thin film as ultranarrow bandpass circular-polarization filters,” Opt. Commun. 168, 457 (1999).
    [CrossRef]
  8. A. A. Gevorgyan, K. V. Papoyan, and O. V. Pikichyan, “Reflection and transmission of light by cholesteric-liquid-crystal-glass-cholesteric-liquid-crystal and cholesteric-liquid-crystal(1)-cholesteric-crystal(2) systems,” Opt. Spektrosk. 88, 586 (2000) A. A. Gevorgyan, K. V. Papoyan, and O. V. Pikichyan, “Reflection and transmission of light by cholesteric-liquid-crystal-glass-cholesteric-liquid-crystal and cholesteric-liquid-crystal(1)-cholesteric-crystal(2) systems,” [Opt. Spectrosc. 88, 586 (2000)].
    [CrossRef]
  9. N. P. M. Huck, I. Staupe, A. Thirouard, D. K. G. De Broer, “Light polarization by cholesteric layers,” J. Phys. Soc. Jpn. 42, 5189 (2003).
  10. D. J. Broer, G. N. Mol, J. A. M. M. Haaren, and J. Lub, “Photoinduced diffusion in polymerizing chiral-nematic media,” Adv. Mater. (Weinheim, Ger.) 11, 573 (1999).
    [CrossRef]
  11. S. M. P. Blom, H. P. M. Huck, H. J. Cornelissen, and H. Greiner, “Towards a polarized light-emitting backlight: microstructured anisotropic layers,” J. Soc. Inf. Disp. 10, 209 (2002).
    [CrossRef]
  12. V. A. Belyakov, A. A. Gevorgyan, O. S. Eritsyan, and N. V. Shipov, “On anomalously strong absorption of radiation in periodic media close to the propagation-forbidden zone boundaries,” Kristallografiya 33, 574 (1988) V. A. Belyakov, A. A. Gevorgyan, O. S. Eritsyan, and N. V. Shipov, “On anomalously strong absorption of radiation in periodic media close to the propagation-forbidden zone boundaries,” [Sov. Phys. Crystallogr. 33, 337 (1988)].
  13. A. H. Gevorgyan, “Mechanisms of anomalous absorption of radiation in media with periodical structure,” 378, 129 (2002).
  14. A. S. Sonin, Introduction to the Physics of Liquid Crystals (Nauka, Moscow, 1983).
  15. G. A. Vardanyan and A. A. Gevorgyan, “The optics of media with a helical dichroic structure,” Kristallografiya 42, 723 (1997) G. A. Vardanyan and A. A. Gevorgyan, “The optics of media with a helical dichroic structure,” [Crystallogr. Rep. 42, 663 (1997)].
  16. A. H. Gevorgyan, A. Kocharian, and G. A. Vardanyan, “Accumulation and transmission of the light energy in nonreciprocal multilayer systems,” Opt. Commun. 259, 455 (2006).
    [CrossRef]
  17. H. Wohler, M. Fritsch, G. Haas, and D. A. Mlynski, “Characteristic matrix method for stratified anisotropic media: optical properties of special configurations,” J. Opt. Soc. Am. A 8, 536 (1991).
  18. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (Elsevier, New York, 1977; Mir, Moscow, 1981).
  19. V. A. Belyakov and V. D. Dmitrienko, “The theory of the optical properties of cholesteric liquid crystals,” Fiz. Tverd. Tela (Leningrad) 15, 2724 (1973) V. A. Belyakov and V. D. Dmitrienko, “The theory of the optical properties of cholesteric liquid crystals,” [Sov. Phys. Solid State 15, 1811 (1973)].
  20. V. D. Dmitrienko and V. A. Belyakov, “Higher orders of selective reflection of light from a cholesteric liquid crystal,” Fiz. Tverd. Tela (Leningrad) 15, 3540 (1973) V. D. Dmitrienko and V. A. Belyakov, “Higher orders of selective reflection of light from a cholesteric liquid crystal,” [Sov. Phys. Solid State 15, 2365 (1973)].
  21. H. Takazoe, Y. Ouchi, M. Hara, A. Fukuda, and E. Kuze, “Experimental studies of reflection spectra in monodomain cholesteric liquid crystal cell: total reflection, subsidiary oscillation and its beats or swell structure,” J. Phys. Soc. Jpn. 22, 1080 (1983).
  22. V. Takazoe, Y. Ouchi, A. Sugita, M. Hara, A. Hara, A. Fukuda, and E. Kuze, “Experimental observation of the total reflectionby monodomain cholesteric liquid crystal,” J. Appl. Phys. 21, L390 (1982).
  23. G. A. Vardanyan, A. A. Gevorgyan, and A. N. Kocharyan, “Gyrotropy of cholesteric liquid crystals. Oblique incidence,” Izv. NAN Armenii, Fizika. 40, 355 (2005).
  24. M. Z. Arutrnyan, G. A. Vardanyan, and A. A. Gevorgyan, “Eigenpolarizations and eigenvalues of the transfer function for the complex amplitude of a layer of a medium with a helical periodic structure,” Opt. Zh. 74, No. 4, 16 (2007) M. Z. Arutrnyan, G. A. Vardanyan, and A. A. Gevorgyan, “Eigenpolarizations and eigenvalues of the transfer function for the complex amplitude of a layer of a medium with a helical periodic structure,” [J. Opt. Technol. 74, 236 (2007)].
  25. Y. Huang, Y. Zhou, Q. Hong, , “Incident angle and polarization effects on the dye-doped cholesteric liquid crystal laser,” Opt. Commun. 261, 91 (2006).

2007 (1)

M. Z. Arutrnyan, G. A. Vardanyan, and A. A. Gevorgyan, “Eigenpolarizations and eigenvalues of the transfer function for the complex amplitude of a layer of a medium with a helical periodic structure,” Opt. Zh. 74, No. 4, 16 (2007) M. Z. Arutrnyan, G. A. Vardanyan, and A. A. Gevorgyan, “Eigenpolarizations and eigenvalues of the transfer function for the complex amplitude of a layer of a medium with a helical periodic structure,” [J. Opt. Technol. 74, 236 (2007)].

2006 (2)

Y. Huang, Y. Zhou, Q. Hong, , “Incident angle and polarization effects on the dye-doped cholesteric liquid crystal laser,” Opt. Commun. 261, 91 (2006).

A. H. Gevorgyan, A. Kocharian, and G. A. Vardanyan, “Accumulation and transmission of the light energy in nonreciprocal multilayer systems,” Opt. Commun. 259, 455 (2006).
[CrossRef]

2005 (1)

G. A. Vardanyan, A. A. Gevorgyan, and A. N. Kocharyan, “Gyrotropy of cholesteric liquid crystals. Oblique incidence,” Izv. NAN Armenii, Fizika. 40, 355 (2005).

2003 (1)

N. P. M. Huck, I. Staupe, A. Thirouard, D. K. G. De Broer, “Light polarization by cholesteric layers,” J. Phys. Soc. Jpn. 42, 5189 (2003).

2002 (2)

S. M. P. Blom, H. P. M. Huck, H. J. Cornelissen, and H. Greiner, “Towards a polarized light-emitting backlight: microstructured anisotropic layers,” J. Soc. Inf. Disp. 10, 209 (2002).
[CrossRef]

A. H. Gevorgyan, “Mechanisms of anomalous absorption of radiation in media with periodical structure,” 378, 129 (2002).

2000 (2)

A. A. Gevorgyan, K. V. Papoyan, and O. V. Pikichyan, “Reflection and transmission of light by cholesteric-liquid-crystal-glass-cholesteric-liquid-crystal and cholesteric-liquid-crystal(1)-cholesteric-crystal(2) systems,” Opt. Spektrosk. 88, 586 (2000) A. A. Gevorgyan, K. V. Papoyan, and O. V. Pikichyan, “Reflection and transmission of light by cholesteric-liquid-crystal-glass-cholesteric-liquid-crystal and cholesteric-liquid-crystal(1)-cholesteric-crystal(2) systems,” [Opt. Spectrosc. 88, 586 (2000)].
[CrossRef]

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

1999 (3)

K. Robbie, D. J. Broer, and M. J. Brett, “Chiral nematic order in liquid crystals imposed by an engineered inorganic nanostructure,” Nature (London) 399, 764 (1999).
[CrossRef]

A. Lakhtakia and M. McCall, “Sculptured thin film as ultranarrow bandpass circular-polarization filters,” Opt. Commun. 168, 457 (1999).
[CrossRef]

D. J. Broer, G. N. Mol, J. A. M. M. Haaren, and J. Lub, “Photoinduced diffusion in polymerizing chiral-nematic media,” Adv. Mater. (Weinheim, Ger.) 11, 573 (1999).
[CrossRef]

1997 (2)

D. Subacius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, “Cholesteric gratings with field-controlled period,” Appl. Phys. Lett. 71, 3323 (1997).
[CrossRef]

G. A. Vardanyan and A. A. Gevorgyan, “The optics of media with a helical dichroic structure,” Kristallografiya 42, 723 (1997) G. A. Vardanyan and A. A. Gevorgyan, “The optics of media with a helical dichroic structure,” [Crystallogr. Rep. 42, 663 (1997)].

1994 (1)

K. A. Suresh, S. Yuvaraj, P. B. S. Kumar, and G. S. Ranganath, “Optical diffraction in chiral-C liquid crystals,” Phys. Rev. Lett. 72, 2863 (1994).
[CrossRef]

1991 (1)

1988 (1)

V. A. Belyakov, A. A. Gevorgyan, O. S. Eritsyan, and N. V. Shipov, “On anomalously strong absorption of radiation in periodic media close to the propagation-forbidden zone boundaries,” Kristallografiya 33, 574 (1988) V. A. Belyakov, A. A. Gevorgyan, O. S. Eritsyan, and N. V. Shipov, “On anomalously strong absorption of radiation in periodic media close to the propagation-forbidden zone boundaries,” [Sov. Phys. Crystallogr. 33, 337 (1988)].

1983 (1)

H. Takazoe, Y. Ouchi, M. Hara, A. Fukuda, and E. Kuze, “Experimental studies of reflection spectra in monodomain cholesteric liquid crystal cell: total reflection, subsidiary oscillation and its beats or swell structure,” J. Phys. Soc. Jpn. 22, 1080 (1983).

1982 (1)

V. Takazoe, Y. Ouchi, A. Sugita, M. Hara, A. Hara, A. Fukuda, and E. Kuze, “Experimental observation of the total reflectionby monodomain cholesteric liquid crystal,” J. Appl. Phys. 21, L390 (1982).

1973 (2)

V. A. Belyakov and V. D. Dmitrienko, “The theory of the optical properties of cholesteric liquid crystals,” Fiz. Tverd. Tela (Leningrad) 15, 2724 (1973) V. A. Belyakov and V. D. Dmitrienko, “The theory of the optical properties of cholesteric liquid crystals,” [Sov. Phys. Solid State 15, 1811 (1973)].

V. D. Dmitrienko and V. A. Belyakov, “Higher orders of selective reflection of light from a cholesteric liquid crystal,” Fiz. Tverd. Tela (Leningrad) 15, 3540 (1973) V. D. Dmitrienko and V. A. Belyakov, “Higher orders of selective reflection of light from a cholesteric liquid crystal,” [Sov. Phys. Solid State 15, 2365 (1973)].

Adv. Mater. (Weinheim, Ger.) (1)

D. J. Broer, G. N. Mol, J. A. M. M. Haaren, and J. Lub, “Photoinduced diffusion in polymerizing chiral-nematic media,” Adv. Mater. (Weinheim, Ger.) 11, 573 (1999).
[CrossRef]

Appl. Phys. Lett. (1)

D. Subacius, S. V. Shiyanovskii, Ph. Bos, and O. D. Lavrentovich, “Cholesteric gratings with field-controlled period,” Appl. Phys. Lett. 71, 3323 (1997).
[CrossRef]

Fiz. Tverd. Tela (Leningrad) (2)

V. A. Belyakov and V. D. Dmitrienko, “The theory of the optical properties of cholesteric liquid crystals,” Fiz. Tverd. Tela (Leningrad) 15, 2724 (1973) V. A. Belyakov and V. D. Dmitrienko, “The theory of the optical properties of cholesteric liquid crystals,” [Sov. Phys. Solid State 15, 1811 (1973)].

V. D. Dmitrienko and V. A. Belyakov, “Higher orders of selective reflection of light from a cholesteric liquid crystal,” Fiz. Tverd. Tela (Leningrad) 15, 3540 (1973) V. D. Dmitrienko and V. A. Belyakov, “Higher orders of selective reflection of light from a cholesteric liquid crystal,” [Sov. Phys. Solid State 15, 2365 (1973)].

Izv. NAN Armenii, Fizika. (1)

G. A. Vardanyan, A. A. Gevorgyan, and A. N. Kocharyan, “Gyrotropy of cholesteric liquid crystals. Oblique incidence,” Izv. NAN Armenii, Fizika. 40, 355 (2005).

J. Appl. Phys. (1)

V. Takazoe, Y. Ouchi, A. Sugita, M. Hara, A. Hara, A. Fukuda, and E. Kuze, “Experimental observation of the total reflectionby monodomain cholesteric liquid crystal,” J. Appl. Phys. 21, L390 (1982).

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

J. Phys. Soc. Jpn. (2)

N. P. M. Huck, I. Staupe, A. Thirouard, D. K. G. De Broer, “Light polarization by cholesteric layers,” J. Phys. Soc. Jpn. 42, 5189 (2003).

H. Takazoe, Y. Ouchi, M. Hara, A. Fukuda, and E. Kuze, “Experimental studies of reflection spectra in monodomain cholesteric liquid crystal cell: total reflection, subsidiary oscillation and its beats or swell structure,” J. Phys. Soc. Jpn. 22, 1080 (1983).

J. Soc. Inf. Disp. (1)

S. M. P. Blom, H. P. M. Huck, H. J. Cornelissen, and H. Greiner, “Towards a polarized light-emitting backlight: microstructured anisotropic layers,” J. Soc. Inf. Disp. 10, 209 (2002).
[CrossRef]

Kristallografiya (2)

V. A. Belyakov, A. A. Gevorgyan, O. S. Eritsyan, and N. V. Shipov, “On anomalously strong absorption of radiation in periodic media close to the propagation-forbidden zone boundaries,” Kristallografiya 33, 574 (1988) V. A. Belyakov, A. A. Gevorgyan, O. S. Eritsyan, and N. V. Shipov, “On anomalously strong absorption of radiation in periodic media close to the propagation-forbidden zone boundaries,” [Sov. Phys. Crystallogr. 33, 337 (1988)].

G. A. Vardanyan and A. A. Gevorgyan, “The optics of media with a helical dichroic structure,” Kristallografiya 42, 723 (1997) G. A. Vardanyan and A. A. Gevorgyan, “The optics of media with a helical dichroic structure,” [Crystallogr. Rep. 42, 663 (1997)].

Nature (London) (1)

K. Robbie, D. J. Broer, and M. J. Brett, “Chiral nematic order in liquid crystals imposed by an engineered inorganic nanostructure,” Nature (London) 399, 764 (1999).
[CrossRef]

Opt. Commun. (4)

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

A. Lakhtakia and M. McCall, “Sculptured thin film as ultranarrow bandpass circular-polarization filters,” Opt. Commun. 168, 457 (1999).
[CrossRef]

A. H. Gevorgyan, A. Kocharian, and G. A. Vardanyan, “Accumulation and transmission of the light energy in nonreciprocal multilayer systems,” Opt. Commun. 259, 455 (2006).
[CrossRef]

Y. Huang, Y. Zhou, Q. Hong, , “Incident angle and polarization effects on the dye-doped cholesteric liquid crystal laser,” Opt. Commun. 261, 91 (2006).

Opt. Spektrosk. (1)

A. A. Gevorgyan, K. V. Papoyan, and O. V. Pikichyan, “Reflection and transmission of light by cholesteric-liquid-crystal-glass-cholesteric-liquid-crystal and cholesteric-liquid-crystal(1)-cholesteric-crystal(2) systems,” Opt. Spektrosk. 88, 586 (2000) A. A. Gevorgyan, K. V. Papoyan, and O. V. Pikichyan, “Reflection and transmission of light by cholesteric-liquid-crystal-glass-cholesteric-liquid-crystal and cholesteric-liquid-crystal(1)-cholesteric-crystal(2) systems,” [Opt. Spectrosc. 88, 586 (2000)].
[CrossRef]

Opt. Zh. (1)

M. Z. Arutrnyan, G. A. Vardanyan, and A. A. Gevorgyan, “Eigenpolarizations and eigenvalues of the transfer function for the complex amplitude of a layer of a medium with a helical periodic structure,” Opt. Zh. 74, No. 4, 16 (2007) M. Z. Arutrnyan, G. A. Vardanyan, and A. A. Gevorgyan, “Eigenpolarizations and eigenvalues of the transfer function for the complex amplitude of a layer of a medium with a helical periodic structure,” [J. Opt. Technol. 74, 236 (2007)].

Phys. Rev. Lett. (1)

K. A. Suresh, S. Yuvaraj, P. B. S. Kumar, and G. S. Ranganath, “Optical diffraction in chiral-C liquid crystals,” Phys. Rev. Lett. 72, 2863 (1994).
[CrossRef]

Other (5)

P. G. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).

V. A. Belyakov and A. S. Sonin, The Optics of Cholesteric Liquid Crystals (Nauka, Moscow, 1982).

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (Elsevier, New York, 1977; Mir, Moscow, 1981).

A. H. Gevorgyan, “Mechanisms of anomalous absorption of radiation in media with periodical structure,” 378, 129 (2002).

A. S. Sonin, Introduction to the Physics of Liquid Crystals (Nauka, Moscow, 1983).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.