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    We developed a method for creating statistically correlated disordered freeform random metasurfaces (SC-DFRM). Our simulations show how correlation length impacts scattered light intensity, advancing metasurface design.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Computational Electromagnetics

    Background:

    • Disordered metasurfaces offer unique optical properties.
    • Understanding statistical correlations is crucial for controlling light scattering.
    • Previous methods often assumed independent randomness.

    Purpose of the Study:

    • To introduce a novel method for generating statistically correlated disordered freeform random metasurfaces (SC-DFRM).
    • To investigate the influence of different statistical correlation rules on metasurface behavior.
    • To analyze the impact of correlation lengths on coherent and incoherent scattered fields.

    Main Methods:

    • Generation of SC-DFRM using Gaussian and exponential power spectral densities.
    • Full-wave simulations employing the domain decomposition spectral method.
    • Analysis of scattered intensity contributions from coherent and incoherent fields.

    Main Results:

    • Successful generation and simulation of SC-DFRM.
    • Demonstrated the significant impact of correlation lengths on scattered intensity.
    • Quantified the contributions of coherent and incoherent fields based on correlation properties.

    Conclusions:

    • The developed method enables the creation of SC-DFRM with controlled statistical correlations.
    • Correlation length is a key parameter influencing the optical response of disordered metasurfaces.
    • This work provides a foundation for designing advanced metasurfaces with tailored scattering characteristics.