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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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Partially coherent spherical sources with spherical harmonic modes.

J C G de Sande, O Korotkova, R Martínez-Herrero

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |December 15, 2022
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces partially coherent spherical sources using spherical harmonics. It demonstrates that these sources can exhibit perfect radial coherence alongside partial angular coherence, advancing understanding of light propagation.

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    Area of Science:

    • Optics and Photonics
    • Classical Electrodynamics
    • Mathematical Physics

    Background:

    • Partially coherent sources are crucial in various optical applications.
    • Understanding the spatial coherence properties of light is fundamental.
    • Spherical sources present unique challenges in modeling light propagation.

    Purpose of the Study:

    • To introduce a new class of partially coherent spherical sources.
    • To analyze the coherence properties, particularly radial and angular coherence.
    • To provide a framework for solving the propagation problem for these sources.

    Main Methods:

    • Utilizing a modal expansion based on spherical harmonics for cross-spectral density.
    • Deriving the solution for the propagation of these modes in outer spaces.
    • Analyzing the mathematical features of the derived cross-spectral densities.

    Main Results:

    • A class of partially coherent spherical sources is defined.
    • The propagation of these sources maintains their spherical harmonic structure.
    • Examples illustrate that perfect radial coherence can coexist with partial angular coherence.

    Conclusions:

    • The introduced class of sources offers a novel way to model partially coherent light.
    • The findings highlight the distinct behaviors of radial and angular coherence.
    • This work provides a theoretical basis for designing and understanding complex light fields.