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    Researchers developed infinite optical waveguide lattices exhibiting higher-order exceptional points (HEPs). These unique degeneracies, previously studied in finite systems, are now constructible in infinite photonic structures, offering new avenues for research.

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    Area of Science:

    • Non-Hermitian photonics
    • Optical waveguide lattices
    • Degenerate phenomena

    Background:

    • Higher-order exceptional points (HEPs) are unique degeneracies in non-Hermitian systems.
    • Previous studies on HEPs primarily focused on finite coupled systems.

    Purpose of the Study:

    • To present a systematic method for constructing infinite optical waveguide lattices with HEPs.
    • To investigate the spectral properties and sensitivity of these infinite lattices around HEPs.

    Main Methods:

    • Construction of infinite optical waveguide lattices.
    • Analysis using the method of pseudospectra.

    Main Results:

    • Demonstrated the construction of infinite lattices exhibiting HEPs.
    • Characterized spectral properties and sensitivity around HEPs in these infinite systems.

    Conclusions:

    • Infinite optical waveguide lattices can be designed to host higher-order exceptional points.
    • The method of pseudospectra is effective for analyzing spectral properties and sensitivity in such systems.