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    Researchers developed two pseudo-modal expansions for stationary electromagnetic sources. These methods offer insights for physical realization and computer simulations of partially coherent, polarized light beams.

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    Area of Science:

    • Optics and Photonics
    • Electromagnetism
    • Mathematical Physics

    Background:

    • Understanding the structure of stationary electromagnetic sources is crucial for both theoretical and practical applications.
    • Existing methods may not fully capture the complexity of partially coherent and polarized light.
    • Bochner's theorem provides a foundational framework in functional analysis relevant to wave phenomena.

    Purpose of the Study:

    • To derive novel pseudo-modal expansions for stationary electromagnetic sources.
    • To provide tools for the physical realization and simulation of these sources.
    • To offer insights into the structure of partially coherent, partially polarized light beams.

    Main Methods:

    • Derivation of two pseudo-modal expansions based on the vectorial version of Bochner's theorem.
    • Incoherent superposition of two completely polarized fields for the first expansion.
    • Incoherent sum of three polarized fields for the second expansion.
    • Simulation of random electromagnetic beams using the derived expansions.

    Main Results:

    • Successful derivation of two distinct pseudo-modal expansions.
    • Validation of the expansions through simulation of known random electromagnetic beams.
    • Comparison of simulation results with theoretical predictions confirmed the validity of the expansions.

    Conclusions:

    • The derived pseudo-modal expansions offer valuable insights into electromagnetic source structures.
    • These expansions are applicable to optical simulations of partially coherent, partially polarized light.
    • The methods can aid in the design and validation of new random electromagnetic sources.