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Diffuse reflection from a stochastically bounded, semi-infinite medium.

K Lumme1, J I Peltoniemi, W M Irvine

  • 1Observatory, University of Helsinki, Finland.

Transport Theory and Statistical Physics
|January 1, 1990
PubMed
Summary
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This study models diffuse reflection from rough surfaces using radiative transfer theory. It provides a new equation applicable to planetary regolith and ocean surfaces.

Area of Science:

  • Astrophysics
  • Geophysics
  • Oceanography

Background:

  • Diffuse reflection is crucial for understanding planetary surfaces and Earth's oceans.
  • Existing models often simplify surface roughness, limiting accuracy.

Purpose of the Study:

  • To develop a radiative transfer model for diffuse reflection from statistically rough surfaces.
  • To derive a new radiative transfer equation accounting for surface height distributions.

Main Methods:

  • Statistical analysis of boundary layer height distributions.
  • Derivation of ray propagation probabilities.
  • Application of Eddington's two-stream approximation.

Main Results:

  • A novel radiative transfer equation for rough surfaces was derived.
Keywords:
NASA Discipline ExobiologyNASA Discipline Number 52-10NASA Program ExobiologyNon-NASA Center

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  • Explicit solutions using the Eddington approximation were obtained.
  • Model applicability demonstrated with examples.

    • Conclusions:

    • The model accurately predicts diffuse reflection from rough surfaces.
    • Results are relevant for remote sensing of planetary bodies and oceanographic studies.
    • This work advances the understanding of light interaction with natural surfaces.