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    Area of Science:

    • Optics and Photonics
    • Materials Science

    Background:

    • Random media are crucial for light scattering applications.
    • Controlling scattered light patterns, such as optical lattices, is essential for advanced optical technologies.

    Purpose of the Study:

    • To introduce a novel class of random media for generating optical lattice patterns.
    • To demonstrate flexible control over optical lattice characteristics.
    • To propose a new method for designing random media with specific scattering properties.

    Main Methods:

    • Utilizing the Markov approximation for modeling random media.
    • Analyzing the correlation parameters of the scattering potential.
    • Employing convolution operations to design new correlation degrees.

    Main Results:

    • A novel class of random media producing optical lattice patterns was introduced.
    • Optical lattice properties like array dimension, intensity profile, and periodicity are controllable via correlation parameters.
    • A new method for designing random media based on the convolution of correlation degrees was demonstrated.

    Conclusions:

    • The proposed random media offer a flexible platform for generating controllable optical lattice patterns.
    • The novel design method allows for the creation of random media with tailored scattered intensity distributions.
    • This work provides new avenues for designing advanced scattering materials in optics.