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Embedded solitons in a three-wave system

Champneys1, Malomed

  • 1Department of Engineering Mathematics, The University of Bristol, Bristol BS8 1TR, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
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Researchers discovered embedded solitons within optical waveguide radiation. These solitons, differing by internal oscillations, lead to multistable configurations for all-optical switching applications.

Area of Science:

  • Nonlinear optics
  • Optical physics
  • Condensed matter physics

Background:

  • Optical waveguides are crucial for light manipulation.
  • Second-harmonic generation (SHG) is a key nonlinear optical process.
  • Bragg gratings enable control over light propagation.

Purpose of the Study:

  • To investigate the existence and properties of embedded solitons in a specific optical waveguide model.
  • To explore the dynamics and potential applications of these solitons.

Main Methods:

  • Numerical modeling of three-wave spatial interaction.
  • Analysis of a planar optical waveguide with a quasi-one-dimensional Bragg grating.
  • Bifurcation analysis to study soliton stability and transitions.

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Main Results:

  • Observation of a rich spectrum of isolated solitons embedded within a continuous radiation spectrum.
  • Discovery of an infinite sequence of fundamental embedded solitons with varying internal oscillations.
  • Identification of bifurcations leading to walking solitons and multistable configurations.

Conclusions:

  • The study reveals a novel class of embedded solitons in optical systems.
  • The identified multistable soliton configurations offer potential for all-optical switching devices.
  • This research advances the understanding of nonlinear light propagation in engineered optical structures.