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X-ray Diffraction of Biological Samples01:10

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Sampling and inversion of data in diffraction particle sizing.

J B Riley, Y C Agrawal

    Applied Optics
    |August 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study addresses challenges in optical diffraction particle sizing, developing methods to accurately determine particle size distributions from scattering data. Algorithms were created to invert experimental measurements, successfully sizing polystyrene spheres.

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    Area of Science:

    • Optics
    • Particle Characterization
    • Computational Science

    Background:

    • Optical diffraction particle sizing relies on numerical transforms to determine particle size distributions from angular scattering data.
    • The nonuniqueness and instability of these transforms for discrete data present significant challenges in accurate analysis.
    • Approximating the kernel with its asymptotic function is a key theoretical approach.

    Purpose of the Study:

    • To investigate and overcome the nonuniqueness and instability issues in numerical transforms for optical diffraction particle sizing.
    • To develop robust algorithms for inverting angular scattering measurements to obtain particle size distributions.
    • To establish criteria for angular sampling and transform rescaling for improved accuracy.

    Main Methods:

    • Approximation of the optical diffraction kernel by an asymptotic function.
    • Analysis of the nonuniqueness and instability of the numerical transform for discrete scattering data.
    • Development and application of algorithms for inverting experimental scattering measurements.

    Main Results:

    • An angular sampling criterion was established to optimize data acquisition.
    • A rescaling method for the forward transform was developed to enhance stability.
    • Algorithms were successfully applied to invert scattering data from polystyrene sphere distributions.

    Conclusions:

    • The developed methods and algorithms effectively address the challenges in optical diffraction particle sizing.
    • Accurate particle size distributions can be determined from near-forward scattering measurements.
    • The study provides a framework for robust inversion of experimental scattering data.