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On homoclinic snaking in optical systems.

W J Firth1, L Columbo, T Maggipinto

  • 1SUPA and Department of Physics, University of Strathclyde, 107 Rottenrow, G4 0NG Glasgow, Scotland.

Chaos (Woodbury, N.Y.)
|October 2, 2007
PubMed
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Localized structures called cavity solitons in driven optical systems appear spontaneously in experiments, contrary to theory. Nonlocal nonlinearity may explain this by altering bifurcation diagrams.

Area of Science:

  • Nonlinear optics
  • Optical physics
  • Complex systems

Background:

  • Localized structures, such as cavity solitons, are observed in driven optical systems.
  • Theoretical models predict cavity solitons exist only below the threshold of subcritical modulational instability.
  • Experimental observations frequently show spontaneous appearance of these solitons with parameter variation, contradicting theoretical predictions.

Purpose of the Study:

  • To investigate the discrepancy between theoretical predictions and experimental observations of cavity soliton existence.
  • To explore the role of nonlocal nonlinearities in the formation and stability of localized structures in driven optical systems.

Main Methods:

  • Theoretical analysis of driven optical systems with nonlocal nonlinearities.

Related Experiment Videos

  • Investigation of bifurcation diagrams, specifically the "snaking" phenomenon.
  • Mathematical modeling to understand the influence of nonlocality on soliton stability.

    • Main Results:

    • The addition of nonlocal nonlinearity can resolve the discrepancy between theory and experiment.
    • Nonlocal nonlinearity effectively tilts the characteristic "snaking" bifurcation diagram.
    • This tilting allows for the spontaneous emergence of cavity solitons within experimentally relevant parameter ranges.

    Conclusions:

    • Nonlocal nonlinearities are crucial for understanding the spontaneous formation of cavity solitons in driven optical systems.
    • The proposed mechanism provides a theoretical framework consistent with experimental findings.
    • This research offers insights into controlling and predicting localized structures in nonlinear optical phenomena.