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Related Experiment Video

Updated: Nov 24, 2025

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

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Wigner matrix formalism for phase-modulated signals.

H Coïc, C Rouyer, N Bonod

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |December 28, 2020
    PubMed
    Summary

    This study introduces an analytic model for laser beam quality analysis using Wigner matrix formalism. It accurately predicts beam evolution in optical systems without sampling issues, crucial for high-intensity laser chains.

    Area of Science:

    • Physics
    • Optics
    • Laser Technology

    Background:

    • Laser beam quality is vital for high-intensity laser chains.
    • Standard numerical methods for beam analysis are sampling-dependent.
    • Understanding beam evolution in complex optical sequences is crucial.

    Purpose of the Study:

    • To develop an analytic model for laser beam quality analysis.
    • To overcome sampling limitations of standard numerical methods.
    • To provide a tool for analyzing beam properties in spatial and temporal domains.

    Main Methods:

    • Utilized Wigner matrix formalism for modeling sinusoidal phase modulation.
    • Employed Bessel decomposition of the Wigner function.
    • Derived explicit expressions for Gaussian beam Wigner function projections.

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    Last Updated: Nov 24, 2025

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    Published on: January 28, 2019

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    Generation and Coherent Control of Pulsed Quantum Frequency Combs
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    Main Results:

    • Developed an approximation-free analytic model for beam propagation.
    • The model accurately describes beam evolution without sampling considerations.
    • Demonstrated high accuracy through application to the Talbot effect.

    Conclusions:

    • The analytic Wigner matrix model offers a powerful tool for laser beam analysis.
    • The model accurately predicts beam properties and phase noise impact.
    • It surpasses standard numerical methods in accuracy and applicability.