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Related Experiment Videos

Discrete quadratic cavity solitons.

O Egorov1, U Peschel, F Lederer

  • 1Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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We predict new discrete optical solitons in coupled quadratic nonlinear cavities. Discreteness significantly impacts soliton existence and stability, revealing unique behaviors not seen in continuous models.

Area of Science:

  • Nonlinear optics
  • Photonics
  • Condensed matter physics

Background:

  • Coupled optical cavities support various nonlinear phenomena.
  • Quadratic nonlinearities are crucial for generating specific optical effects.
  • Discrete models offer unique insights beyond continuous approximations.

Purpose of the Study:

  • Predict and characterize discrete solitons in quadratic nonlinear optical cavity arrays.
  • Investigate the influence of discreteness on soliton properties and stability.
  • Explore novel soliton topologies unique to discrete systems.

Main Methods:

  • Derivation of mean-field equations from the original round-trip model.
  • Analytical identification of parameter domains for soliton existence.

Related Experiment Videos

  • Numerical simulations to find and analyze discrete solitons.
  • Stability analysis of the obtained soliton solutions.

    • Main Results:

    • Prediction of diverse discrete soliton types in coupled quadratic nonlinear cavities.
    • Validation of mean-field equations against the round-trip model.
    • Identification of parameter regimes and asymptotic behaviors for solitons.
    • Discovery of unique soliton topologies specific to discrete models.
    • Demonstration of discreteness significantly affecting soliton stability.

    Conclusions:

    • Discrete optical solitons exist in quadratic nonlinear coupled cavities.
    • Discreteness introduces unique soliton behaviors and influences stability.
    • The findings advance the understanding of nonlinear phenomena in discrete optical systems.