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Electromagnetic random source for circular optical frame and its statistical properties.

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    This study generalizes circular optical frames to electromagnetic sources, deriving formulas for propagation through atmospheric turbulence. It analyzes statistical characteristics of single and nested frames, revealing unique polarization and coherence evolutions.

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    Area of Science:

    • Electromagnetic theory
    • Optical physics
    • Atmospheric optics

    Background:

    • Random sources for circular optical frames are extended to the electromagnetic domain.
    • Understanding light propagation through atmospheric turbulence is crucial for optical systems.

    Purpose of the Study:

    • To generalize random sources for circular frames to the electromagnetic domain.
    • To derive analytical formulas for the propagation of electromagnetic circular frames through atmospheric turbulence.
    • To analyze the statistical characteristics and unique features of polarization and coherence evolutions.

    Main Methods:

    • Generalization of random source models to electromagnetic fields.
    • Derivation of analytical formulas for wave propagation in turbulent media.
    • Comparative analysis of single and nested circular frames in free space and non-Kolmogorov turbulence.

    Main Results:

    • Analytical formulas for electromagnetic circular frame propagation through atmospheric turbulence were derived.
    • Statistical characteristics of single and nested circular frames were comparatively studied.
    • Unique evolutions of the degree of polarization and degree of coherence were observed.

    Conclusions:

    • The study provides a theoretical framework for electromagnetic circular sources in turbulence.
    • The findings offer insights into the behavior of polarized light in atmospheric conditions.
    • The research highlights the impact of turbulence parameters on statistical characteristics.