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Estimation of the effective phase function of bulk diffusing materials with the inverse adding-doubling method.

Sven Leyre, Youri Meuret, Guy Durinck

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    |May 3, 2014
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    Summary
    This summary is machine-generated.

    Accurate optical simulations rely on precise bulk scattering properties. The Gegenbauer kernel (GK) phase function improved accuracy for low-density polyethylene (LDPE) and titanium dioxide (TiO₂) materials in inverse adding-doubling (AD) method simulations.

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    Area of Science:

    • Optical Physics
    • Materials Science
    • Computational Modeling

    Background:

    • Accurate optical simulations of bulk diffusers depend critically on precise scattering property determination.
    • Iterative methods like inverse Monte Carlo and inverse adding-doubling (AD) are used when physical scattering effects are unknown.
    • These methods often employ simplified phase functions with limited free parameters.

    Purpose of the Study:

    • To implement and compare three predefined phase functions (Henyey-Greenstein, two-term Henyey-Greenstein, Gegenbauer kernel (GK)) within the inverse AD method.
    • To determine the optical properties of strongly diffusing materials: low-density polyethylene (LDPE) and TiO₂ particles.
    • To estimate the effective phase function for these materials.

    Main Methods:

    • Implementation of Henyey-Greenstein, two-term Henyey-Greenstein, and GK phase functions into the inverse AD method.
    • Application of the inverse AD method to determine optical properties of LDPE and TiO₂ samples.
    • Estimation of effective phase functions based on simulation results.

    Main Results:

    • The GK phase function yielded the best agreement between calculated and experimental transmittance, reflectance, and scattered radiant intensity for LDPE.
    • Both the two-term Henyey-Greenstein and GK phase functions provided good agreement for TiO₂ samples.
    • The study successfully estimated effective phase functions for the investigated materials.

    Conclusions:

    • The choice of phase function significantly impacts the accuracy of optical simulations for bulk diffusers.
    • The GK phase function is a robust choice for accurately modeling the optical properties of LDPE and TiO₂.
    • This approach enhances the reliability of optical simulations by providing accurate effective phase functions.