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Modelling structural colour from helicoidal multi-layer thin films with natural disorder.

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    This study models light scattering from beetles using coupled mode theory. The method accurately predicts reflectance by analyzing structural disorder in helicoidal arrays, crucial for understanding beetle coloration.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Biophysics

    Background:

    • Periodic nanostructures in nature, like those in beetle elytra, produce structural coloration through light scattering.
    • Understanding the optical properties of these biological materials is complex due to inherent structural disorder.
    • Existing models often struggle to account for biological assembly imperfections and material anisotropy.

    Purpose of the Study:

    • To extend coupled mode theory based on Takagi-Taupin equations to analyze light scattering from distorted periodic arrays.
    • To incorporate perturbations in the permittivity tensor for helicoidal arrays and anisotropic layered materials.
    • To investigate the impact of structural disorder on optical properties in beetle elytra.

    Main Methods:

    • Applied coupled mode theory using Takagi-Taupin equations to model electromagnetic scattering.
    • Extended the theory to include anisotropic permittivity tensor perturbations.
    • Integrated structural information and disorder parameters from transmission electron microscopy data.

    Main Results:

    • Achieved good agreement between model predictions and experimental spectral reflectance measurements (specular and non-specular).
    • Demonstrated the capability to analyze scattering from helicoidal arrays with dislocations and other structural variations.
    • Validated the model's effectiveness for optically anisotropic layered materials.

    Conclusions:

    • The extended coupled mode theory accurately describes light scattering from biologically relevant distorted periodic structures.
    • This approach provides a powerful tool for correlating structural disorder with optical properties in natural materials.
    • The findings offer insights into the mechanisms of structural coloration in beetles and other anisotropic materials.