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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Gap random-phase lattice solitons.

Robert Pezer, Hrvoje Buljan, Jason Fleischer

    Optics Express
    |June 6, 2009
    PubMed
    Summary
    This summary is machine-generated.

    We theoretically study gap random-phase lattice solitons in nonlinear waveguide arrays. These solitons exhibit lattice periodicity and multi-humped power spectra, and can be generated from incoherent beams.

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    Area of Science:

    • Nonlinear optics
    • Condensed matter physics
    • Wave propagation in periodic structures

    Background:

    • Nonlinear waveguide arrays support various soliton solutions.
    • Gap solitons exist at the edge of photonic band gaps.
    • Random-phase lattice solitons (gap-RPLSs) are a less-explored class of solitons.

    Purpose of the Study:

    • To theoretically investigate the properties of gap random-phase lattice solitons (gap-RPLSs).
    • To understand the formation mechanism of gap-RPLSs in nonlinear waveguide arrays.
    • To analyze the spectral and coherence characteristics of gap-RPLSs.

    Main Methods:

    • Theoretical study using nonlinear wave propagation models.
    • Analysis of intensity profiles and coherence properties.
    • Investigation of Floquet-Bloch power spectrum characteristics.

    Main Results:

    • Gap-RPLSs conform to lattice periodicity in intensity and coherence.
    • The Floquet-Bloch power spectrum of gap-RPLSs is multi-humped with peaks in anomalous diffraction regions.
    • Gap-RPLSs can be generated from simple incoherent beams launched at a specific angle.

    Conclusions:

    • Incoherent beams can evolve into gap-RPLSs within nonlinear waveguide arrays.
    • The study elucidates the formation dynamics and spectral properties of gap-RPLSs.
    • Findings contribute to understanding complex soliton dynamics in periodic nonlinear media.