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Updated: Jun 12, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

Nonlocality-induced front-interaction enhancement.

L Gelens1, D Gomila, G Van der Sande

  • 1Department of Applied Physics and Photonics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium.

Physical Review Letters
|May 21, 2010
PubMed
Summary
This summary is machine-generated.

Nonlocal coupling significantly amplifies front interaction strength and velocity in dynamic systems. This phenomenon can qualitatively alter front profiles, forming localized structures and leading to their eventual annihilation.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Mathematical Modeling

Background:

  • Front dynamics are crucial in various scientific fields.
  • Understanding the influence of coupling on front behavior is essential.
  • Local interactions have been extensively studied, but nonlocal effects remain less explored.

Purpose of the Study:

  • To investigate the impact of nonlocal coupling on the dynamics of fronts.
  • To analyze how nonlocal interactions affect front velocity and profile.
  • To explore the emergence of localized structures due to nonlocal coupling.

Main Methods:

  • Simulation of two prototype models exhibiting front dynamics.
  • Analysis of spatial dynamics to understand front profile changes.
  • Mathematical investigation of nonlocal coupling effects.

Main Results:

  • Nonlocal coupling was found to strongly influence front dynamics.
  • A significant amplification in interaction strength between opposite fronts was observed.
  • Front velocities increased by several orders of magnitude.
  • Nonlocal terms induced oscillations in front profiles, changing the qualitative picture.
  • A novel mechanism for the formation of localized structures was identified.
  • Nonlocal coupling led to the broadening and eventual annihilation of localized structures.

Conclusions:

  • Nonlocal coupling is a critical factor in front dynamics, leading to quantitative and qualitative changes.
  • The study reveals a new mechanism for localized structure formation driven by nonlocal interactions.
  • Nonlocal coupling can destabilize and annihilate localized structures, offering insights into pattern formation and dissolution.