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Seidel aberration coefficients: an alternative computational method.

Psang Dain Lin, R Barry Johnson

    Optics Express
    |September 11, 2019
    PubMed
    Summary
    This summary is machine-generated.

    A new method computes Seidel aberrations using real skew rays and Taylor series expansion. This approach yields aberration coefficients related to pupil radius and object height, offering a novel way to analyze optical systems.

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    Area of Science:

    • Optical Engineering
    • Computational Optics

    Background:

    • Seidel aberrations are critical for understanding optical system performance.
    • Traditional methods for calculating aberrations can be complex and computationally intensive.

    Purpose of the Study:

    • To present an alternative method for computing Seidel aberrations.
    • To express aberration coefficients in a novel form related to pupil and object height.

    Main Methods:

    • Utilizing real pseudoparaxial skew rays.
    • Employing Taylor series expansion in object height and ray-direction spherical coordinates.
    • Calculating higher-order partial derivatives of rays near the optical axis.

    Main Results:

    • Derived expressions for defocus, lateral magnification, and Seidel primary ray aberration coefficients.
    • Established a relationship between aberration coefficients, unit entrance pupil radius, and unit object height.
    • Demonstrated the extensibility of the methodology to higher-order aberrations.

    Conclusions:

    • The proposed method offers an alternative to existing techniques for Seidel aberration computation.
    • The new formulation provides insights into aberration behavior relative to pupil and object size.
    • The methodology is adaptable for analyzing higher-order aberrations in optical systems.