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Discriminating randomly polarized fields.

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    We developed a new measure, scalar average similarity, to analyze ensembles of polarized light states. This method effectively distinguishes between different configurations of pure states in optical systems.

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    Area of Science:

    • Optics and Photonics
    • Quantum Information Science
    • Mathematical Physics

    Background:

    • Polarization is a fundamental property of light.
    • Analyzing ensembles of polarized states is crucial for various optical applications.
    • Existing methods may not fully capture the global characteristics of polarization states.

    Purpose of the Study:

    • To introduce a novel global measure for characterizing ensembles of randomly polarized states.
    • To establish the scalar average similarity as a tool for analyzing optical fields.
    • To demonstrate its utility in discriminating between different configurations of pure states.

    Main Methods:

    • Definition of scalar average similarity based on the complex degree of mutual polarization.
    • Analysis of ensembles of randomly polarized vector fields.
    • Mathematical derivation of parameter bounds for specific field configurations.

    Main Results:

    • The scalar average similarity is introduced as a global measure for polarized state ensembles.
    • The variation of this parameter is shown to be bounded for fully correlated and globally unpolarized fields.
    • The measure effectively discriminates between different configurations of pure states.

    Conclusions:

    • Scalar average similarity provides a powerful new tool for the analysis of polarized light.
    • This measure offers insights into the global properties of optical fields.
    • The method has potential applications in quantum optics and optical communication systems.