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Algorithm for supersonic gas jet density profile retrieval from interferometric measurement.

Svetlana V Avtaeva, Konstantin V Gubin, Vladimir I Trunov

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
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    A new algorithm accurately reconstructs supersonic gas jet profiles using interferometric data and hyper-Gaussian functions. This method offers improved stability and precision over traditional inverse Abel transforms for studying gas dynamics.

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    Area of Science:

    • Fluid Dynamics
    • Optical Physics
    • Computational Physics

    Background:

    • Interferometric measurements are crucial for non-intrusive diagnostics of gas flows.
    • Accurate 3D gas density profile retrieval is essential for understanding supersonic jets.
    • Existing methods like the inverse Abel transform have limitations in stability and accuracy.

    Purpose of the Study:

    • To develop and validate a novel algorithm for supersonic gas jet profile retrieval.
    • To enhance the accuracy and stability of 3D gas density profile restoration.
    • To apply the developed technique to analyze pulsed nitrogen supersonic jets.

    Main Methods:

    • Utilizing the Fourier transform method for phase map restoration.
    • Employing radial profile approximation with hyper-Gaussian functions and forward Abel transform for 3D density reconstruction.
    • Comparing the novel algorithm with inverse Abel transform methods for accuracy assessment.

    Main Results:

    • The developed algorithm demonstrates superior stability and accuracy compared to the inverse Abel transform for axisymmetric objects.
    • Applied to a pulsed nitrogen supersonic jet, the technique revealed hyper-Gaussian-like radial density distributions.
    • Characterized a jet top of ~0.8 mm length with a peak density of ~5.5·10^18 cm^-3 and minimal variation.

    Conclusions:

    • The novel hyper-Gaussian function-based algorithm provides a robust and accurate method for supersonic gas jet profile analysis.
    • This technique offers significant advantages over traditional inverse Abel transform methods.
    • The study successfully characterized the density profile of a pulsed nitrogen supersonic jet, providing valuable data for fluid dynamics research.