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Nonlinear tunneling in a fiber guide array resonator.

Jérôme Leon1

  • 1Physique Mathématique et Théorique, CNRS-UMR 5825, Université Montpellier 2, 34095 Montpellier, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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We demonstrate stable nonlinear states in a fiber guide array resonator, which become unstable at a threshold amplitude, leading to gap soliton emission. This enables soliton formation via constant wave irradiation.

Area of Science:

  • Nonlinear optics
  • Optical resonators
  • Soliton physics

Background:

  • Fiber guide array resonators are crucial for nonlinear optical phenomena.
  • Understanding nonlinear Schrödinger models is key to predicting light behavior in such systems.

Purpose of the Study:

  • To investigate the nonlinear states and stability of a fiber guide array resonator.
  • To analyze the conditions for nonlinear tunneling and soliton emission.
  • To derive an analytic expression for the instability threshold.

Main Methods:

  • Modeling the resonator using a nonlinear Schrödinger equation with a square well potential.
  • Analyzing the properties of nonlinear states and their stability.
  • Investigating nonlinear tunneling and gap soliton emission.

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Main Results:

  • Identified nonlinear states as extensions of linear eigenstates.
  • Demonstrated remarkable stability up to a threshold amplitude.
  • Observed instability at the threshold, leading to gap soliton emission.
  • Derived an explicit analytic expression for the threshold amplitude.

Conclusions:

  • The proposed model accurately describes the nonlinear dynamics of the resonator.
  • Nonlinear tunneling and gap soliton emission are key mechanisms for soliton formation.
  • The derived threshold expression provides a tool for controlling soliton generation.