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    We demonstrate a novel method for rainbow trapping using higher-order topological corner modes (HOTCMs) in photonic crystals. These modes enable frequency-selective light trapping, paving the way for advanced optical devices.

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    Area of Science:

    • Photonics
    • Topological Materials
    • Optical Devices

    Background:

    • Recent advancements in higher-order topology offer new possibilities for optical device design.
    • Higher-order topological insulators exhibit unique localized states at corners and higher-dimensional boundaries.

    Purpose of the Study:

    • To propose a novel method for rainbow trapping using higher-order topological corner modes (HOTCMs).
    • To explore the frequency dispersion of HOTCMs for optical applications.
    • To demonstrate frequency-selective light trapping in photonic crystal structures.

    Main Methods:

    • Utilized two configurations of breathing kagome photonic crystals with distinct topological phases.
    • Investigated frequency dispersion of HOTCMs localized at corners with different geometric configurations.
    • Designed a polygon structure with multiple corner configurations to excite HOTCMs.

    Main Results:

    • Successfully realized rainbow trapping based on HOTCMs.
    • Demonstrated that HOTCMs are frequency dispersive and can be excited in a frequency sequence locked to corner order.
    • Showcased multiple-frequency trapping capabilities by exciting HOTCMs in a polygon structure.

    Conclusions:

    • The proposed HOTCMs offer a new mechanism for multiple-frequency trapping in optical systems.
    • This work provides a foundation for future integrated photonics applications utilizing topological phenomena.
    • The frequency-selective nature of HOTCMs opens avenues for novel optical device functionalities.