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Updated: Jun 12, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Published on: August 12, 2013

Third-order aberration theory for weak gradient-index lenses.

D Y Wang, D T Moore

    Applied Optics
    |June 26, 2010
    PubMed
    Summary

    New analytic expressions simplify calculating third-order aberration coefficients for gradient-index lenses. This research aids optical design by providing precise tools for weak or thin lens analysis.

    Area of Science:

    • Optics and Photonics
    • Optical Engineering
    • Lens Design

    Background:

    • Gradient-index (GRIN) lenses offer unique optical properties.
    • Aberrations limit the performance of optical systems.
    • Calculating third-order aberrations in GRIN lenses can be complex.

    Purpose of the Study:

    • To develop simple analytic expressions for third-order aberration coefficients.
    • To specifically address weak or nearly thin axial and radial GRIN lenses.
    • To provide a computationally efficient method for optical designers.

    Main Methods:

    • Derivation of analytic expressions based on established optical principles.
    • Application to both axial and radial gradient-index profiles.
    • Focus on weak or nearly thin lens approximations.

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    Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter
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    Published on: August 12, 2013

    Scanning Light Scattering Profiler (SLPS) Based Methodology to Quantitatively Evaluate Forward and Backward Light Scattering from Intraocular Lenses
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    05:14

    Comparison of Agreement and Accuracy using Binocular Wavefront Optometer with Autorefractor and Phoropter

    Published on: September 16, 2025

    Main Results:

    • A set of simple, closed-form analytic expressions for third-order aberration coefficients.
    • Formulations applicable to both axial and radial GRIN lenses.
    • Demonstrated accuracy and utility for practical lens design.

    Conclusions:

    • The developed analytic expressions offer a straightforward and efficient method for calculating third-order aberrations in specific GRIN lens types.
    • These expressions can significantly aid in the design and analysis of optical systems employing weak or thin GRIN lenses.
    • This work provides valuable tools for optical engineers and researchers in the field of gradient-index optics.