Skip to main content
Log in

On Peculiarities in Localization of Light in Cholesteric Liquid Crystals

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

We have analyzed peculiarities in the localization of light in a layer of a cholesteric liquid crystal (CLC) for the normal incidence of light. It is shown that dielectric boundaries strongly affect the localization. For the minimal influence of dielectric boundaries (i.e., for ns = \(\sqrt {{{\varepsilon }_{m}}} \)), the total field for the eigenmodes in the CLC layer varies smoothly upon a displacement along the z axis directed along the axis of the medium (here, εm is the mean permittivity of the CLC layer and ns is the refractive index of the external medium). When ns differs from \(\sqrt {{{\varepsilon }_{m}}} \) or when the polarization of incident light differing from the polarization of the eigenmodes, oscillations appear in the dependence of the energy of the total wave field in the CLC layer on z. It is shown that the amount of the energy stored in the CLC layer depends on ns, and the total accumulated energy in the CLC layer increases monotonically with ns.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.

Similar content being viewed by others

REFERENCES

  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

    Article  ADS  Google Scholar 

  2. S. John, Phys. Rev. Lett. 58, 2486 (1987).

    Article  ADS  Google Scholar 

  3. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, Princeton, 1995).

    MATH  Google Scholar 

  4. Nanoelectronics and Photonics, Ed. by A. Korkin and F. Rosei (Springer, Berlin, 2008).

    Google Scholar 

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

    Google Scholar 

  6. H. L. de Vries, Acta Crystallogr. 4, 219 (1951).

    Article  Google Scholar 

  7. E. I. Kats, Sov. Phys. JETP 32, 1004 (1970).

    ADS  Google Scholar 

  8. A. H. Gevorgyan, A. Kocharian, and G. A. Vardanyan, Opt. Commun. 259, 455 (2006).

    Article  ADS  Google Scholar 

  9. A. A. Gevorgyan, Tech. Phys. 51, 389 (2006).

    Article  Google Scholar 

  10. S. H. Choi, S. W. Kim, Z. Ku, et al., Nat. Commun. 9, 452 (2018).

    Article  ADS  Google Scholar 

  11. Y. Kivshar and A. Miroshnichenko, Opt. Photon. News 28, 24 (2017).

    Article  ADS  Google Scholar 

  12. J. W. Shelton and Y. R. Shen, Phys. Rev. A 5, 1867 (1972).

    Article  ADS  Google Scholar 

  13. A. H. Gevorgyan and G. K. Matinyan, J. Exp. Theor. Phys. 118, 771 (2014).

    Article  ADS  Google Scholar 

  14. V. A. Belyakov, V. E. Dmitrienko, and V. P. Orlov, Sov. Phys. Usp. 22, 63 (1979).

    Article  ADS  Google Scholar 

  15. V. A. Belyakov, A. A. Gevorgian, O. S. Eritsian, and N. V. Shipov, Sov. Tech. Phys. 32, 843 (1987).

    Google Scholar 

  16. G. A. Vardanyan and A. A. Gevorgyan, Crystallogr. Rep. 42, 276 (1997).

    ADS  Google Scholar 

  17. A. A. Gevorgyan, Opt. Spectrosc. 89, 631 (2000).

    Article  ADS  Google Scholar 

  18. A. H. Gevorgyan, Mol. Cryst. Liquid Cryst. 378, 129 (2002).

    Article  Google Scholar 

  19. V. I. Kopp, Z.-Q. Zhang, and A. Z. Genacka, Progr. Quant. Electron. 27, 369 (2003).

    Article  ADS  Google Scholar 

  20. V. A. Belyakov and S. V. Semenov, J. Exp. Theor. Phys. 109, 687 (2009).

    Article  ADS  Google Scholar 

  21. A. H. Gevorgyan, Opt. Spectrosc. 96, 877 (2004).

    Article  ADS  Google Scholar 

  22. A. H. Gevorgyan, K. B. Oganesyan, R. V. Karapetyan, and M. S. Rafayelyan, Laser Phys. Lett. 10, 125802 (2013).

    Article  ADS  Google Scholar 

  23. A. H. Gevorgyan, K. B. Oganesyan, G. A. Vardanyan, and G. K. Matinyan, Laser Phys. 24, 115801 (2014).

    Article  ADS  Google Scholar 

  24. M. S. Rafayelyan, H. Gharagulyan, T. M. Sarukhanyan, et al., Liq. Cryst. 46, 1079 (2019).

    Article  Google Scholar 

  25. A. H. Gevorgyan, Liq. Cryst. 47, 1070 (2020).

  26. V. Kavokin, I. A. Shelykh, and G. Malpuech, Phys. Rev. B 72, 233102 (2005).

    Article  ADS  Google Scholar 

  27. M. Kaliteevski, I. Iorsh, S. Brand, et al., Phys. Rev. B 76, 165415 (2007).

    Article  ADS  Google Scholar 

  28. T. Goto, A. V. Dorofeenko, A. M. Merzlikin, et al., Phys. Rev. Lett. 101, 113902 (2008).

    Article  ADS  Google Scholar 

  29. S. Núñez-Sánchez, M. Lopez-Garcia, M. M. Murshidi, et al., ACS Photon. 3, 743 (2016).

    Article  Google Scholar 

  30. S. Ya. Vetrov, M. V. Pyatnov, and I. V. Timofeev, Opt. Lett. 39, 2743 (2014).

    Article  ADS  Google Scholar 

  31. S. Ya. Vetrov, M. V. Pyatnov, and I. V. Timofeev, J. Opt. 18, 015103 (2016).

    ADS  Google Scholar 

  32. N. V. Rudakova, I. V. Timofeev, R. G. Bikbaev, et al., Crystals 9, 502 (2019).

    Article  Google Scholar 

  33. S. Ya. Vetrov, I. V. Timofeev, and V. F. Shabanov, Phys. Usp. 63, 33 (2020).

    Article  ADS  Google Scholar 

  34. V. Belyakov, Diffraction Optics of Complex-Structured Periodic Media (Springer, Berlin, 2019).

    Book  Google Scholar 

  35. A. H. Gevorgyan and M. Z. Haratyunyan, Phys. Rev. E 76, 031701 (2007).

    Article  ADS  Google Scholar 

  36. Y.-C. Hsiao, H.-T. Wang, and W. Lee, Opt. Express 22, 3593 (2014).

    Article  ADS  Google Scholar 

  37. V. A. Belyakov and S. V. Semenov, J. Exp. Theor. Phys. 112, 694 (2011).

    Article  ADS  Google Scholar 

  38. J. Schmidtke and W. Stille, Eur. Phys. J. E 12, 553 (2003).

    Article  Google Scholar 

  39. S. Ya. Vetrov, M. V. Pyatnov, and I. V. Timofeev, Phys. Rev. E 90, 032505 (2014).

    Article  ADS  Google Scholar 

Download references

Funding

The study was supported by the project of the Ministry of Science and Higher Education of the Russian Federation FZNS-2020-0003 no. 0657-2020-0003.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. H. Gevorgyan, S. S. Golik or T. A. Gevorgyan.

Additional information

Translated by N. Wadhwa

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gevorgyan, A.H., Golik, S.S. & Gevorgyan, T.A. On Peculiarities in Localization of Light in Cholesteric Liquid Crystals. J. Exp. Theor. Phys. 131, 329–336 (2020). https://doi.org/10.1134/S1063776120060047

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776120060047

Navigation