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Anderson localization in Bragg-guiding arrays with negative defects.

Valery E Lobanov1, Yaroslav V Kartashov, Victor A Vysloukh

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Anderson localization is achievable in waveguide arrays with defect waveguides. Disorder in these defects can control the localization of light, offering new possibilities for optical devices.

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Area of Science:

  • Physics
  • Optics
  • Condensed Matter Physics

Background:

  • Anderson localization describes the wave function's confinement in disordered systems.
  • Waveguide arrays are used to study wave phenomena, including localization.
  • Defect waveguides introduce perturbations in otherwise uniform structures.

Purpose of the Study:

  • To investigate the possibility of Anderson localization in waveguide arrays with periodically spaced defect waveguides.
  • To explore the role of disorder, both diagonal and off-diagonal, within defect waveguides on localization.
  • To understand the underlying mechanism of localization, specifically its relation to Bragg reflection.

Main Methods:

  • Theoretical modeling of light propagation in waveguide arrays with defect waveguides.
  • Numerical simulations to analyze intensity distributions and localization phenomena.
  • Systematic variation of disorder parameters (diagonal and off-diagonal) in defect waveguides.

Main Results:

  • Anderson localization demonstrated in waveguide arrays featuring periodically spaced, lower refractive index defect waveguides.
  • Localization is mediated by Bragg reflection, even with disorder confined to defect waveguides.
  • Off-diagonal disorder leads to a monotonic increase in localization degree with increasing disorder.
  • Diagonal disorder, under specific conditions, can result in reduced localization.

Conclusions:

  • Periodic defect waveguides can support Anderson localization.
  • Disorder in defect waveguides offers a tunable mechanism for controlling light localization.
  • The interplay between Bragg reflection and disorder provides a novel route for manipulating wave localization in optical systems.