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Scattering And Absorption of Light in Planetary Regoliths
11:34

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Published on: July 1, 2019

Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting

K Stamnes, S C Tsay, W Wiscombe

    Applied Optics
    |June 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a versatile discrete ordinate algorithm for atmospheric radiative transfer calculations. The new method overcomes previous numerical challenges, enabling accurate modeling across the electromagnetic spectrum.

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    Area of Science:

    • Atmospheric physics
    • Radiative transfer theory
    • Computational electromagnetics

    Background:

    • Accurate modeling of radiative transfer is crucial for understanding atmospheric processes.
    • Previous discrete ordinate methods faced challenges with ill-conditioning.
    • A general-purpose algorithm is needed for diverse atmospheric applications.

    Purpose of the Study:

    • To present an advanced, general-purpose discrete ordinate algorithm for time-independent radiative transfer calculations.
    • To incorporate recent advances in formulation and numerical solutions.
    • To address and overcome ill-conditioning problems in eigenvalue computation and matrix inversion.

    Main Methods:

    • Development of a discrete ordinate algorithm for radiative transfer.
    • Implementation of solutions for ill-conditioned eigenvalue and matrix inversion problems.
    • Inclusion of physical processes: thermal emission, scattering, absorption, and bidirectional reflection/emission.

    Main Results:

    • A robust and accurate discrete ordinate algorithm for vertically inhomogeneous, nonisothermal, plane-parallel media.
    • Successful conquest of eigenvalue computation and matrix inversion ill-conditioning.
    • Applicability across the electromagnetic spectrum from UV to radar.

    Conclusions:

    • The developed algorithm provides a significant advancement for atmospheric radiative transfer modeling.
    • The method is well-documented, general-purpose, and overcomes critical numerical limitations.
    • A FORTRAN program is available for users, facilitating broader application and research.