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    A new transfer matrix method accurately models radiative transfer through multiple scattering layers. This approach predicts reflection and transmission for composite films, showing excellent agreement with simulations.

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    Area of Science:

    • Optics and Photonics
    • Materials Science
    • Computational Physics

    Background:

    • Understanding radiative transfer is crucial for designing optical coatings and materials.
    • Existing models often struggle with complex multilayer structures and scattering phenomena.
    • Accurate prediction of light reflection and transmission is essential for various applications.

    Purpose of the Study:

    • To develop a robust transfer matrix method for four-flux radiative transfer.
    • To enable accurate prediction of specular and diffuse light transport in multilayer composite films.
    • To validate the model against numerical simulations for diverse conditions.

    Main Methods:

    • Formulation of a transfer matrix method for four-flux radiative transfer.
    • Inclusion of interface reflections for both diffuse and collimated incident light.
    • Derivation of closed-form expressions for matrix coefficients using the diffusion approximation for spherical particles.

    Main Results:

    • The developed method effectively models radiative transfer through multiple scattering layers.
    • Predictions for specular and diffuse reflection and transmission show high accuracy.
    • The model demonstrates remarkable agreement with Monte Carlo simulations across various absorption values and film thicknesses.

    Conclusions:

    • The four-flux transfer matrix method provides an efficient and accurate tool for analyzing radiative transfer in multilayer systems.
    • The derived closed-form expressions simplify calculations for specific particle types and approximations.
    • This work offers a valuable computational approach for the design and analysis of advanced optical materials.