Preparing the generalized Harvey–Shack rough surface scattering method for use with the discrete ordinates method

Villads Egede Johansen

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The paper shows how to implement the generalized Harvey–Shack (GHS) method for isotropic rough surfaces discretized in a polar coordinate system and approximated using Fourier series. This is particularly relevant for the use of the GHS method as a boundary condition for radiative transfer problems in slab geometries, where the discrete ordinates method can be applied to solve the problem. Furthermore, such an implementation is a more convenient discretization of the problem than the traditional direction cosine space that has its strengths in analytical problems and intuitive understanding (mainly due to its translation invariance). A computer implementation of scattering from a Gaussian rough surface with Gaussian autocovariance written in Python is included at the end of the paper. © 2015 Optical Society of America
    Original languageEnglish
    JournalJournal of the Optical Society of America A
    Volume32
    Issue number2
    Pages (from-to)186-194
    ISSN0740-3232
    DOIs
    Publication statusPublished - 2015

    Keywords

    • Scattering, Harvey
    • Roughness
    • BSDF
    • BRDF
    • BTDF
    • Radiative transfer
    • Turbid media

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