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Discrete diffraction managed spatial solitons.

M J Ablowitz1, Z H Musslimani

  • 1Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526, USA.

Physical Review Letters
|December 12, 2001
PubMed
Summary
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We present a new model for optical beam propagation in nonlinear waveguide arrays, explaining anomalous diffraction. The model predicts discrete spatial solitons with periodically evolving properties, offering insights into light behavior in such systems.

Area of Science:

  • Nonlinear optics
  • Waveguide optics
  • Condensed matter physics

Background:

  • Anomalous diffraction observed in linear waveguide arrays necessitates new theoretical models.
  • Understanding light propagation in nonlinear optical media is crucial for device development.

Purpose of the Study:

  • To propose a novel model for optical beam propagation in diffraction-managed nonlinear waveguide arrays.
  • To investigate the existence and properties of discrete spatial solitons within this model.

Main Methods:

  • Development of a new mathematical model for optical beam propagation.
  • Derivation of a nonlocal integral equation for soliton amplitude evolution.
  • Analytical derivation of stationary soliton solutions.

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Main Results:

  • The proposed model supports discrete spatial solitons.
  • Soliton beamwidth and peak amplitude exhibit periodic evolution.
  • Stationary solutions for soliton amplitude were successfully obtained.

Conclusions:

  • The novel model accurately describes anomalous diffraction phenomena in nonlinear waveguide arrays.
  • The identified discrete spatial solitons possess unique, periodically evolving characteristics.
  • The derived stationary solutions provide a foundation for further theoretical and experimental investigations.