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Three-dimensional freeform reflector design with a microfacet surface roughness model.

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    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |June 10, 2024
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    This study presents a new method for designing freeform reflectors with scattering surfaces using microfacets. The optimized design achieves a specific scattered light distribution for collimated beams.

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    Area of Science:

    • Optics and Photonics
    • Surface Engineering
    • Computational Design

    Background:

    • Designing optical reflectors with specific scattering properties is challenging.
    • Freeform optics offer design flexibility but require advanced surface control.
    • Microfacet models are used to represent and analyze surface roughness and scattering.

    Purpose of the Study:

    • To develop a methodology for designing freeform reflectors with controlled scattering surfaces.
    • To integrate microfacet-based scattering models into the reflector design process.
    • To achieve a desired far-field light distribution from a collimated incident beam.

    Main Methods:

    • Modeling surface roughness using microfacet orientations.
    • Employing a least-squares solver for initial smooth reflector design.
    • Utilizing an optimization procedure to incorporate scattering effects.
    • Verifying reflector performance with raytracing simulations.

    Main Results:

    • A methodology for designing freeform reflectors with scattering surfaces was successfully developed.
    • The optimization procedure effectively accounted for microfacet-induced scattering.
    • The designed reflectors produced the target scattered light distributions.
    • Raytracing confirmed the accuracy of the design methodology.

    Conclusions:

    • The proposed method enables the design of freeform reflectors with tailored scattering characteristics.
    • This approach is effective for systems involving collimated incident beams and far-field targets.
    • The integration of microfacet models and optimization offers a powerful tool for optical surface design.