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Gap solitons in grating superstructures.

Thawatchai Mayteevarunyoo1, Boris A Malomed

  • 1Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand. thawatch@mut.ac.th

Optics Express
|June 12, 2008
PubMed
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Periodic chirp modulation stabilizes novel double-peak gap solitons (GSs) in Bragg gratings (BGs), unlike reflectivity modulation. This new method also maintains stability in the central bandgap and forms bound states.

Area of Science:

  • Nonlinear Optics
  • Condensed Matter Physics
  • Photonics

Background:

  • Gap solitons (GSs) are localized nonlinear waves in periodic structures.
  • Bragg gratings (BGs) are commonly used periodic structures in photonics.
  • Previous studies focused on reflectivity modulation, often leading to instability.

Purpose of the Study:

  • Investigate gap solitons in a generalized Bragg grating model.
  • Explore the effects of periodic chirp modulation and reflectivity variation.
  • Identify novel stabilization mechanisms for gap solitons.

Main Methods:

  • Theoretical investigation of a generic periodically modulated Bragg grating model.
  • Analysis of periodic modulation of Bragg grating chirp and local refractive index.

Related Experiment Videos

  • Study of periodic variation of local reflectivity.
  • Numerical simulations to observe soliton behavior, stability, and dynamics.

    • Main Results:

    • Periodic chirp modulation stabilizes a new family of double-peak fundamental gap solitons in the side bandgap (gap -1).
    • Chirp modulation maintains soliton stability in the central bandgap (gap 0).
    • Reflectivity modulation destabilizes previously studied solitons.
    • Two soliton families exhibit bistability, coexisting at equal energy levels.
    • Stable 4-peak bound states are formed by pairs of fundamental GSs in bandgap -1.
    • Self-trapping and mobility of solitons are also investigated.

    Conclusions:

    • Periodic chirp modulation offers a novel and effective method for stabilizing gap solitons in Bragg gratings.
    • This technique enables the formation of new soliton families and bound states, expanding the possibilities for nonlinear optical devices.
    • The findings suggest potential applications in optical switching, signal processing, and fundamental studies of nonlinear phenomena.