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    This study demonstrates unidirectional self-imaging in photonic crystal heterostructures using topological edge states. These states enable backscattering-immune signal splitting by controlling light

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    Area of Science:

    • Photonics
    • Condensed Matter Physics
    • Materials Science

    Background:

    • Photonic crystals (PCs) offer unique light manipulation properties.
    • Topological edge states provide robust, unidirectional wave propagation.
    • Self-imaging phenomena are crucial for integrated photonic devices.

    Purpose of the Study:

    • Investigate unidirectional self-imaging in shifted PC heterostructures.
    • Explore the behavior of spin-locked topological edge states.
    • Demonstrate applications in topological splitters.

    Main Methods:

    • Utilized finite element method (FEM) simulations.
    • Analyzed coupled edge states (CES) in shifted PC interfaces.
    • Modeled T-shaped and double cross-shaped splitter designs.

    Main Results:

    • Achieved spin-locked multimode interference (MMI) and self-imaging of CES.
    • Demonstrated paired and symmetrical interference patterns.
    • Confirmed backscattering immunity in proposed splitter structures.

    Conclusions:

    • Shifted PC heterostructures support unidirectional self-imaging of topological edge states.
    • Coupled edge states exhibit controllable interference phenomena.
    • Proposed topological splitters leverage photonic frequency and spin for advanced signal processing.