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Optical vortex tracking algorithm based on the Laguerre-Gaussian transform.

Mateusz Szatkowski, Emilia Burnecka, Hanna Dyła

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    Summary
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    A new Laguerre-Gaussian transform method precisely localizes optical vortices, outperforming other techniques. This adaptable and fast approach maintains accuracy even in low-contrast conditions, proving versatile for applications like optical vortex aberrometry.

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    Area of Science:

    • Optics and Photonics
    • Quantum Information Science

    Background:

    • Optical vortices, characterized by phase singularities, are crucial in various optical applications.
    • Precise localization of these singular points is essential but challenging.
    • Existing methods for tracking optical vortex positions lack adaptability, speed, or precision.

    Purpose of the Study:

    • To introduce and validate the Laguerre-Gaussian transform method for optical vortex localization.
    • To compare its performance against established phase retrieval and weighted centroid tracking methods.
    • To assess the algorithm's versatility in complex optical scenarios.

    Main Methods:

    • Development of the Laguerre-Gaussian transform algorithm for singular point detection.
    • Comparative analysis of tracking methods under diverse experimental conditions, including low-contrast regimes.
    • Application and testing of the Laguerre-Gaussian transform in optical vortex aberrometry for aberration sensing.

    Main Results:

    • The Laguerre-Gaussian transform method demonstrates high accuracy in localizing optical vortices.
    • This method retains its superior performance even in low-contrast optical environments.
    • The algorithm proved versatile, successfully sensing induced aberrations in optical vortex aberrometry.

    Conclusions:

    • The Laguerre-Gaussian transform offers an adaptable, fast, and precise solution for optical vortex localization.
    • This method surpasses traditional techniques, particularly in challenging low-contrast conditions.
    • Its successful application in aberrometry highlights its broad utility in optical metrology and manipulation.