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Nonlinear surface lattice coupler.

Xianling Shi1, Fangwei Ye, Boris Malomed

  • 1Department of Physics, Shanghai Jiao Tong University, Shanghai, China.

Optics Letters
|April 3, 2013
PubMed
Summary
This summary is machine-generated.

We investigated two-component surface solitons in coupled waveguiding arrays. Antisymmetric and asymmetric solitons exhibit broad stability, unlike symmetric ones, revealing new asymmetric mode behaviors in nonlinear couplers.

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Area of Science:

  • Nonlinear optics
  • Waveguide arrays
  • Soliton dynamics

Background:

  • Surface solitons are localized nonlinear waves in optical systems.
  • Coupled waveguide arrays are fundamental structures for studying light propagation and nonlinear phenomena.
  • Kerr nonlinearity is a common nonlinear effect in optical materials.

Purpose of the Study:

  • To analyze the stability of two-component surface solitons in linearly coupled truncated waveguiding arrays.
  • To investigate the bifurcation and stability properties of symmetric, antisymmetric, and asymmetric soliton modes.
  • To identify novel mechanisms for the formation of asymmetric solitons in nonlinear optical couplers.

Main Methods:

  • Numerical simulations of coupled nonlinear Schrödinger equations governing light propagation.
  • Analysis of soliton stability through linearization and eigenvalue methods.
  • Investigation of mode bifurcation diagrams as a function of system parameters.

Main Results:

  • Symmetric two-component surface solitons possess a limited stability region.
  • Antisymmetric and asymmetric solitons demonstrate extensive stability across a wide parameter range.
  • A critical coupling constant value was identified, below which symmetric and asymmetric mode branches diverge.
  • This divergence prevents asymmetric solitons from bifurcating from symmetric ones, a novel observation.

Conclusions:

  • The study reveals distinct stability characteristics for different soliton symmetries in coupled waveguide arrays.
  • The findings present the first instance of asymmetric modes in nonlinear couplers that do not originate from symmetric counterparts.
  • This work advances the understanding of nonlinear mode interactions and soliton formation in complex optical systems.