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Localized waves supported by the rotating waveguide array.

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    Rotating waveguide arrays exhibit novel linear localized modes, unlike non-rotating systems needing nonlinearity. These modes form at the center due to an attractive potential or at corners from competing forces, with localization intensifying with rotation frequency.

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    Area of Science:

    • Nonlinear optics
    • Waveguide optics
    • Photonics

    Background:

    • Localized modes in optical systems typically require nonlinearity.
    • Nonrotating waveguide arrays necessitate nonlinearity for localized excitations above an energy flow threshold.

    Purpose of the Study:

    • To investigate the existence and characteristics of localized modes in truncated rotating square waveguide arrays.
    • To contrast these modes with those in nonrotating arrays.

    Main Methods:

    • Analysis of localized modes in linear and nonlinear optical systems.
    • Investigating rotating waveguide array dynamics.
    • Studying soliton families in focusing and defocusing media.

    Main Results:

    • Truncated rotating square waveguide arrays support new localized modes in the linear regime.
    • These modes appear centrally due to an effective attractive potential or at corners due to centrifugal force and total internal reflection.
    • Localization degree increases with rotation frequency.
    • Stable rotating soliton families bifurcating from linear modes were analyzed.

    Conclusions:

    • Rotation introduces unique localization mechanisms in waveguide arrays, distinct from nonlinearity-driven phenomena.
    • The findings expand the understanding of light localization in engineered optical structures.