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A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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The de Broglie Wavelength02:32

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Schottky defects arise when some lattice points in a crystal, such as those in NaCl, remain unoccupied, creating lattice vacancies without disturbing the overall electrical neutrality of the crystal. This defect is common in ionic crystals where the positive and negative ions are similar in size, as seen in sodium chloride and cesium chloride. The presence of Schottky defects enables the crystal to conduct electricity to a small extent through an ionic mechanism. Electric fields cause nearby...
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Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
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Related Experiment Video

Updated: Apr 2, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Boundary-driven exceptional points in photonic waveguide lattices.

Stefano Longhi

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    |April 1, 2026
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    Summary
    This summary is machine-generated.

    Boundary-driven exceptional points in photonic lattices are predicted. These points arise from reflections and induce memory effects, offering a platform for exploring non-Hermitian physics.

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    Area of Science:

    • Photonics
    • Non-Hermitian Physics
    • Waveguide Lattices

    Background:

    • Exceptional points (EPs) are fundamental in non-Hermitian systems.
    • Boundary effects in finite photonic lattices are well-studied.
    • Understanding memory effects in photonic systems is crucial for advanced applications.

    Purpose of the Study:

    • To predict and analyze boundary-driven exceptional points in semi-infinite Hermitian photonic waveguide lattices.
    • To investigate the role of lattice termination and coherent reflections in EP formation.
    • To explore the dynamics of a side-coupled defect influenced by lattice boundary effects.

    Main Methods:

    • Exact analytic approach to derive the defect's non-Markovian memory kernel.
    • Analysis of resonance trajectories and coalescence conditions.
    • Numerical simulations of Hermitian photonic waveguide lattices.

    Main Results:

    • Identified boundary-driven exceptional points arising from coherent reflections at the lattice termination.
    • Derived a non-Markovian memory kernel characterizing the defect dynamics.
    • Demonstrated precise tunability of resonance coalescence by defect position and coupling strength.

    Conclusions:

    • Boundary effects in Hermitian lattices can induce phenomena typically associated with non-Hermitian systems.
    • The derived memory kernel provides insights into memory-enabled non-Hermitian physics.
    • The proposed system offers an experimentally accessible platform for exploring these phenomena.