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X-ray Crystallography02:18

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

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Scattering And Absorption of Light in Planetary Regoliths
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Scattering of light by large nonspherical particles: ray-tracing approximation versus T-matrix method.

A Macke, M I Mishchenko, K Muinonen

    Optics Letters
    |October 29, 2009
    PubMed
    Summary

    Geometric-optics approximation accurately models light scattering for large spheroids, outperforming spheres. This method is reliable for phase function calculations, even for smaller particles, with minimal impact on single-scattering albedo.

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    Area of Science:

    • Atmospheric Optics
    • Computational Physics
    • Radiative Transfer Theory

    Background:

    • Accurate light-scattering computations are crucial for understanding atmospheric radiative transfer.
    • Nonspherical particles significantly influence light scattering properties in the atmosphere.
    • Evaluating approximations against exact methods is essential for computational efficiency.

    Purpose of the Study:

    • To compare light-scattering computations for spheroids using geometric-optics approximation and the T-matrix method.
    • To assess the accuracy of the geometric-optics approximation for nonspherical particles.
    • To determine the applicability of the geometric-optics approximation for various scattering parameters.

    Main Methods:

    • Light-scattering computations for randomly oriented, moderately absorbing spheroids.
    • Comparison between geometric-optics approximation and the exact T-matrix method.
    • Analysis of phase function and polarization computations.

    Main Results:

    • Geometric-optics approximation shows higher accuracy for spheroids than for spheres.
    • The approximation is suitable for phase function computations with size parameters as low as 60.
    • Differences in single-scattering albedo between methods are minimal, even for small size parameters.

    Conclusions:

    • The geometric-optics approximation is a viable and accurate tool for light-scattering phase function computations of spheroids.
    • The method's limitations exist for polarization computations.
    • Findings support the use of geometric-optics approximation for efficient modeling of atmospheric light scattering by nonspherical particles.