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Nonlinear optical lattices with a void impurity.

Cristian Mejía-Cortés1, J C Cardona1, Andrey A Sukhorukov2

  • 1Programa de Física, Facultad de Ciencias Básicas, Universidad del Atlántico, Puerto Colombia 081007, Colombia.

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A void in nonlinear waveguide arrays creates unique localized modes and pulse behaviors. Pulses can be transmitted, reflected, or trapped, with transmission depending on critical momentum and amplitude.

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Area of Science:

  • Nonlinear optics
  • Waveguide arrays
  • Soliton dynamics

Background:

  • Nonlinear (Kerr) waveguide arrays are crucial for optical signal processing.
  • Understanding the impact of defects, like voids, is essential for device design.

Purpose of the Study:

  • To investigate nonlinear localized modes and pulse transmission in a waveguide array with a single nonlinear void.
  • To analyze the stability of these modes and the transmission characteristics across the void.

Main Methods:

  • Analytical and numerical methods were used to study nonlinear localized modes.
  • Numerical simulations were employed to examine the transmission of nonlinear pulses and waves across the void.

Main Results:

  • A family of nonlinear localized modes was found, with the simplest mode displaced from the void.
  • Pulse transmission exhibits three regimes: transmission, reflection, and trapping, with a critical momentum identified.
  • Wave transmission shows complex, fractal-like boundaries and transmission gaps that increase with nonlinearity.

Conclusions:

  • The void acts as a repulsive impurity, altering mode localization and pulse dynamics.
  • The study reveals rich physics in nonlinear waveguide arrays with defects, impacting optical communication and information processing.