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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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Orbital mode structure of random vectorial light beams.

Jyrki Laatikainen, Olga Korotkova

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    |December 24, 2025
    PubMed
    Summary

    A new method characterizes structured light beams by analyzing correlations in their polarization and orbital angular momentum states. This approach reveals how these states can be pure or mixed, offering insights into light beam properties.

    Area of Science:

    • Optics and Photonics
    • Quantum Information Science

    Background:

    • Structured light beams possess complex polarization and orbital angular momentum (OAM) states.
    • Characterizing these combined states is crucial for advanced optical applications.

    Purpose of the Study:

    • To propose a novel method for characterizing structured, stationary light beams.
    • To analyze the polarization and OAM states of light using a polarization-orbitalization tensor.

    Main Methods:

    • Utilizing the second-order correlation of the polarization-orbitalization tensor.
    • Decomposing the tensor correlation into different polarization and OAM state mixtures.
    • Deriving polarization and orbitalization metrics from these correlations.

    Main Results:

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    • The tensor correlation can be decomposed into pure and completely mixed polarization states.
    • The tensor correlation can be decomposed into pure, partially mixed, and completely mixed OAM states.
    • Numerical examples illustrate the behavior of the derived polarization and orbitalization metrics.

    Conclusions:

    • The proposed second-order correlation method effectively characterizes complex light beam states.
    • The decomposition into mixed states provides a quantitative understanding of polarization and OAM distributions.
    • This framework advances the study of structured light and its applications.