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Dispersive shock waves in nonlinear arrays.

Shu Jia1, Wenjie Wan, Jason W Fleischer

  • 1Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review Letters
|February 1, 2008
PubMed
Summary
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Dispersive shock waves in nonlinear waveguide arrays were experimentally studied. Nonlinearity facilitated Bloch mode coupling and energy transport, observed directly in position and momentum space.

Area of Science:

  • Nonlinear optics
  • Condensed matter physics
  • Waveguide optics

Background:

  • Nonlinear waveguide arrays exhibit unique light propagation phenomena.
  • Dispersive shock waves (DSWs) are nonlinear waves that arise from the interplay of dispersion and nonlinearity.
  • Understanding DSWs is crucial for controlling light in structured media.

Purpose of the Study:

  • To experimentally investigate the dynamics of dispersive shock waves in nonlinear waveguide arrays.
  • To explore the role of nonlinearity in facilitating Bloch mode coupling and energy transport.
  • To directly observe wave coupling phenomena within and between transmission bands.

Main Methods:

  • Experimental setup utilizing nonlinear waveguide arrays.
  • Generation and observation of dispersive shock waves.

Related Experiment Videos

  • Measurement of intensity in position space.
  • Analysis of power spectra in momentum space.
  • Main Results:

    • Nonlinearity was shown to push the propagation constant into transmission bands, unlike in gap solitons.
    • Direct observation of Bloch mode coupling within transmission bands.
    • Direct observation of Bloch mode coupling between transmission bands.
    • Evidence of facilitated energy transport due to nonlinear effects.

    Conclusions:

    • Dispersive shock waves in nonlinear waveguide arrays enable novel coupling mechanisms.
    • Nonlinearity plays a key role in overcoming band gaps and enabling energy transport.
    • Experimental observation confirms theoretical predictions of Bloch mode coupling in these systems.