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Development of Whispering Gallery Mode Polymeric Micro-optical Electric Field Sensors
08:32

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Published on: January 29, 2013

Marcum-Q correlated optical fields.

Jesus Ortiz-Rangel, Atefeh Akbarpour, Adad Yepiz

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |June 10, 2026
    PubMed
    Summary
    This summary is machine-generated.

    We constructed a partially coherent field using the Marcum-Q function for spatial correlations. Its far-field correlations exhibit a Schell model with a jinc-type coherence function, confirmed by simulations.

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    Area of Science:

    • Optics and Photonics
    • Wave Propagation
    • Statistical Optics

    Background:

    • Partially coherent fields are crucial in various optical systems.
    • Understanding spatial correlations is key to predicting field behavior.
    • The Marcum-Q function offers a novel approach to defining these correlations.

    Purpose of the Study:

    • To construct a partially coherent field with spatial correlations defined by the Marcum-Q function.
    • To investigate the correlation properties of this field, particularly in the far-field.
    • To determine if the far-field correlations conform to a Schell-model form.

    Main Methods:

    • Analytical derivation of spatial correlations using the Marcum-Q function.
    • Investigation of near-field and far-field correlation properties.
    • Numerical simulations to validate analytical findings.

    Main Results:

    • The constructed partially coherent field's spatial correlations are expressed via the Marcum-Q function.
    • In general, the field's correlations do not adhere to the Schell-model.
    • The far-field correlations exhibit a Schell-model form with a jinc-type coherence function.

    Conclusions:

    • The Marcum-Q function provides a framework for generating partially coherent fields with specific correlation properties.
    • The study reveals a transition to Schell-model behavior in the far-field, characterized by a jinc-type coherence function.
    • Numerical simulations confirm the analytical predictions, validating the theoretical model.