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Three-dimensional electromagnetic Gaussian Schell-model sources.

Olga Korotkova, Lutful Ahad, Tero Setälä

    Optics Letters
    |April 29, 2017
    PubMed
    Summary

    We introduce three-dimensional Gaussian Schell-model (GSM) sources and their realizability conditions. This work aids in synthesizing tunable, partially coherent, and polarized light fields.

    Area of Science:

    • Optics and Photonics
    • Electromagnetism
    • Classical Field Theory

    Background:

    • Gaussian Schell-model (GSM) sources are fundamental in partially coherent optics.
    • Previous work focused on beam-like GSM sources, limiting 3D applications.
    • Understanding realizability conditions is crucial for source synthesis.

    Purpose of the Study:

    • To introduce and define three-dimensional (3D) stationary, electromagnetic Gaussian Schell-model (GSM) sources.
    • To derive the necessary realizability conditions for these 3D GSM sources.
    • To extend existing realizability conditions for beam-like GSM sources to the 3D case.

    Main Methods:

    • Formulation of 3D stationary, electromagnetic GSM sources in the space-frequency domain.
    • Mathematical derivation of realizability conditions based on source parameters.

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  • Adaptation of established methods for beam-like GSM sources to the 3D context.

    • Main Results:

    • Successful introduction of 3D stationary, electromagnetic GSM sources.
    • Derivation of specific realizability conditions that govern the parameters of these 3D sources.
    • Extension of two prior approaches for realizability conditions to the 3D GSM source framework.

    Conclusions:

    • The derived realizability conditions are essential for the accurate analysis and synthesis of 3D GSM sources.
    • This research facilitates the creation of tunable, non-paraxial, partially coherent, and partially polarized light fields.
    • The findings are significant for advanced applications in optical engineering and physics.