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Hybrid discrete solitons.

T Pertsch1, U Peschel, F Lederer

  • 1Institute for Condensed Matter Theory and Optics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
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We studied discrete solitons in waveguide arrays with linear index variation and Kerr nonlinearity. Resonant coupling to linear Wannier-Stark states forms stable, hybrid solitons, not decay.

Area of Science:

  • Nonlinear optics
  • Condensed matter physics
  • Waveguide optics

Background:

  • Discrete solitons are localized waves in periodic structures.
  • Waveguide arrays with index variation and nonlinearity are key research areas.
  • Wannier-Stark states describe particles in a potential with a linear gradient.

Purpose of the Study:

  • Investigate the existence and stability of discrete solitons.
  • Analyze the effect of resonant coupling to linear Wannier-Stark states.
  • Explore the formation of novel hybrid soliton states.

Main Methods:

  • Numerical simulations of nonlinear wave propagation.
  • Analysis of soliton stability under specific conditions.
  • Theoretical modeling of coupled soliton dynamics.

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Main Results:

  • Discrete solitons remain stable despite resonant coupling to Wannier-Stark states.
  • A bound state forms, with the Wannier-Stark state being nonlinearly modified.
  • An infinite number of isolated branches of hybrid discrete solitons are observed.

Conclusions:

  • The resonant coupling does not lead to soliton decay but to stable hybrid states.
  • Nonlinear modification of Wannier-Stark states is crucial for hybrid soliton formation.
  • This work reveals a new class of stable hybrid discrete solitons in engineered optical systems.