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    Area of Science:

    • Photonics
    • Non-Hermitian physics
    • Optical metamaterials

    Background:

    • Photonic arrays are crucial for light manipulation.
    • Non-Hermitian systems offer unique optical properties.
    • Optical ring modes exhibit complex behaviors in structured media.

    Purpose of the Study:

    • Investigate optical ring modes in a 2D circular photonic array.
    • Analyze the impact of alternating gain and loss patterns.
    • Determine the stability of these modes concerning array length and non-Hermitian parameter strength.

    Main Methods:

    • Numerical simulations of a two-dimensional photonic array.
    • Analysis of optical ring modes with varying vorticity.
    • Systematic variation of array length and non-Hermitian parameter.

    Main Results:

    • Stability domain of ring modes decreases with increasing array length and non-Hermitian parameter.
    • Higher vorticity modes exhibit enhanced stability.
    • Full stability windows appear in shorter lattices for higher vorticity modes.

    Conclusions:

    • The interplay between array geometry, gain-loss, and mode vorticity dictates stability.
    • Vorticity is a key parameter for achieving stable optical modes in non-Hermitian photonic arrays.
    • Tailoring photonic array designs can control optical mode resilience.