Skip to main content
Log in

Discrete solitons in azimuthally modulated Bessel lattices: An introduction to solitons in quasi-periodic structure

  • Article
  • Published:
Science China Physics, Mechanics and Astronomy Aims and scope Submit manuscript

Abstract

The investigation of discrete solitons in quasi-periodic structure, namely azimuthally modulated Bessel lattices imprinted in photorefractive crystal, is introduced. It is shown that the discrete solitons centralize more energy in the internal layers than the Bessel lattice and moreover, the effect of centralization of discrete solitons in focusing media is stronger than that in defocusing media. The discrete solitons are unstable in some propagation constant windows and they are absolutely stable when the propagation constant is large enough. The stable solitons perform long-distance and periodic oscillation of intensity and shape under the perturbation of intrinsic excitation.

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.

Similar content being viewed by others

References

  1. Christodoulides D N, Joseph R I. Discrete self-focusing in nonlinear arrays of coupled waveguides. Opt Lett, 1998, 13(9): 794–796

    Article  ADS  Google Scholar 

  2. Feng S, Yang Y P, Lan C W, et al. Absolute band gaps of a two-dimensional triangular-lattice dielectric photonic crystal with different shapes. Sci China-Phys Mech Astron, 2010, 53(10): 1788–1792

    Article  ADS  Google Scholar 

  3. Fleischer J W, Segev M, Efremidis N K, et al. Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices. Nature, 2003, 422(13): 147–150

    Article  ADS  Google Scholar 

  4. Arlt J, Dholakia K. Generation of high-order Bessel beams by use of an axicon. Opt Commun, 2000, 177(4): 297–301

    Article  ADS  Google Scholar 

  5. Vasara A, Truunen J, Fribert A. Realization of general nondiffracting beams with computer-generated holograms. J Opt Soc Am A, 1989, 6(11): 1748–1754

    Article  ADS  Google Scholar 

  6. Kartashov Y V, Vysloukh V A, Torner L. Stable ring-profile vortex solitons in Bessel optical lattices. Phys Rev Lett, 2005, 94(4): 043902

    Article  ADS  Google Scholar 

  7. Kartashov Y V, Carretero-González R, Malomed B A, et al. Multipole-mode solitons in Bessel optical lattices. Opt Express, 2005, 13(26): 10703–10710

    Article  ADS  Google Scholar 

  8. Wang X S, Chen Z G, Kevrekidis P G. Observation of discrete solitons and soliton rotation in optically induced periodic ring lattices. Phys Rev Lett, 2006, 96(8): 083904

    Article  ADS  Google Scholar 

  9. Fischer R, Neshev D N, Aguayo S L, et al. Observation of light localization in modulated Bessel optical lattices. Opt Express, 2006, 14(7): 2825–2830

    Article  ADS  Google Scholar 

  10. Kartashov Y V, Ferrando A, García-March M Á. Dipole soliton-vortices. Opt Lett, 2007, 32(15): 2155–2157

    Article  ADS  Google Scholar 

  11. Kartashov Y V, Egorov A A, Vysloukh V A, et al. Surface vortex solitons. Opt Express, 2006, 14(9): 4049–4057

    Article  ADS  Google Scholar 

  12. Vakhitov N G, Kolokolov A A. Stability criterion for solitary waves. Izv Vyssh Uchebn Zaved Radiofiz, 1973, 16(2): 1020–1026

    Google Scholar 

  13. Mitchell D J, Snyder A W. Stability of fundamental nonlinear guided waves. J Opt Soc Am B, 1993, 10(9): 1572–1580

    Article  ADS  Google Scholar 

  14. Barashenkov I V. Stability criterion for dark solitons. Phys Rev Lett, 1996, 77(7): 1193–1196

    Article  ADS  Google Scholar 

  15. Liang J C, Cai Z B, Sun Y Z, et al. What types of spatial soliton can be formed based on two-photon-isomerisation. Eur Phys J D, 2009, 55(3): 685–689

    Article  ADS  Google Scholar 

  16. Efremidis N K, Hudock J D, Christodoulides N, et al. Two-dimensional optical lattice solitons. Phys Rev Lett, 2003, 91(21): 213906

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to JianChu Liang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, J. Discrete solitons in azimuthally modulated Bessel lattices: An introduction to solitons in quasi-periodic structure. Sci. China Phys. Mech. Astron. 55, 2018–2023 (2012). https://doi.org/10.1007/s11433-012-4833-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11433-012-4833-3

Keywords

Navigation