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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Published on: November 30, 2012

Negative refraction and spatial echo in optical waveguide arrays.

Ramaz Khomeriki1, Lasha Tkeshelashvili

  • 1Max-Planck Institute for the Physics of Complex Systems, Dresden, Germany. khomeriki@hotmail.com

Optics Letters
|November 2, 2012
PubMed
Summary
This summary is machine-generated.

Special symmetry in the discrete nonlinear Schrödinger equation enables wave function revival. A novel negative refraction mechanism for spatial solitons is demonstrated using a short waveguide array with phase shifts.

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Area of Science:

  • Nonlinear optics
  • Waveguide optics
  • Quantum mechanics

Background:

  • The discrete nonlinear Schrödinger equation exhibits unique symmetry properties.
  • Stationary propagation of light in waveguide arrays is a key area of research.
  • Wave function revival is a phenomenon observed in certain quantum systems.

Purpose of the Study:

  • To investigate the complete revival of the initial wave function in waveguide arrays.
  • To demonstrate a novel mechanism for negative refraction of spatial solitons.

Main Methods:

  • Utilizing the special symmetry properties of the discrete nonlinear Schrödinger equation.
  • Proposing and simulating a short array of almost isolated waveguides.
  • Introducing a relative π phase shift in neighboring waveguides.

Main Results:

  • Demonstrated complete revival of the initial wave function.
  • Observed negative refraction of spatial solitons through numerical simulations.
  • Identified a novel mechanism responsible for this negative refraction.

Conclusions:

  • The symmetry properties of the discrete nonlinear Schrödinger equation are crucial for wave function revival.
  • The proposed waveguide array system effectively demonstrates negative refraction.
  • This work introduces a new understanding of spatial soliton dynamics and negative refraction.