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Gradient-index Alvarez lenses.

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    Gradient-index Alvarez lenses (GALs) offer variable optical power through refractive index engineering. This study presents a framework for GALs, demonstrating their performance and validating theory with a fabricated component.

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    Area of Science:

    • Optics and Photonics
    • Optical Engineering
    • Materials Science

    Background:

    • Conventional surface Alvarez lenses (SALs) have limitations in optical power generation.
    • Recent advancements in fabrication enable freeform refractive index distributions.
    • Gradient-index optics offer novel functionalities.

    Purpose of the Study:

    • To introduce and characterize gradient-index Alvarez lenses (GALs) as a new type of freeform optical component.
    • To develop a theoretical framework for GALs, including power variation and bias power.
    • To demonstrate the performance of GALs and validate theoretical predictions.

    Main Methods:

    • Development of a first-order theoretical framework for GALs.
    • Analytical derivation of refractive index distribution and power variation.
    • Fabrication of a GAL and experimental power measurements.

    Main Results:

    • GALs exhibit unique properties for generating variable optical power.
    • A first-order framework accurately describes GAL behavior.
    • Three-dimensional higher-order refractive index terms significantly impact performance in optimized designs.
    • Experimental results closely match theoretical predictions.

    Conclusions:

    • GALs represent a novel class of freeform optical components with significant potential.
    • The developed theoretical framework provides a robust foundation for GAL design.
    • Fabricated GALs demonstrate practical applicability and validate the theoretical models.