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    Area of Science:

    • Optical Engineering
    • Materials Science
    • Photonics

    Background:

    • Chromatic aberration limits optical system performance.
    • Gradient index (GRIN) materials offer potential for aberration correction.
    • Understanding GRIN lens achromatization is crucial for advanced optical design.

    Purpose of the Study:

    • To investigate the chromatic aberration correction capabilities of different gradient index (GRIN) lens geometries.
    • To develop a theoretical model for predicting GRIN lens achromatization based on material dispersion.
    • To identify optimal material combinations for GRIN lenses using a figure-of-merit optimization approach.

    Main Methods:

    • Utilized first-order optical principles to model GRIN lenses with flat, diffractive, and curved surfaces.
    • Represented GRIN material as a blend of three base materials with locally varying properties.
    • Developed a figure-of-merit-based optimization strategy to screen glass catalogs for achromatic performance.

    Main Results:

    • GRIN lens color correction depends on the dispersion properties of constituent materials.
    • A two-material GRIN achromat with curved surfaces has identical material conditions to a homogeneous doublet.
    • Ternary glass combinations are essential for achromatic performance in flat GRIN geometries.
    • Diffraction-enhanced GRIN lenses offer improved color correction or higher optical power.

    Conclusions:

    • The developed model accurately predicts GRIN lens achromatization based on material dispersion.
    • Optimal material combinations for various GRIN lens designs can be identified computationally.
    • GRIN technology provides a viable path for advanced color correction in optical systems.