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Radiative transfer in a discrete random medium adjacent to a half-space with a rough interface
Adrian Doicu1, Michael I Mishchenko2
1Deutsches Zentrum für Luft- und Raumfahrt (DLR), Institut für Methodik der Fernerkundung (IMF), Oberpfaffenhofen 82234, Germany.
Journal of Quantitative Spectroscopy & Radiative Transfer
|December 4, 2018
Summary
Boundary conditions for specific coherency dyadic at rough interfaces in discrete random media were derived. This method simplifies scattering problems and yields reflection/transmission matrices matching phenomenological approaches.
Area of Science:
- Electromagnetics and Wave Propagation
- Computational Physics
- Materials Science
Background:
- Understanding wave interaction with complex media is crucial for remote sensing and material characterization.
- Existing models often simplify interfaces or scattering behaviors, limiting accuracy for rough surfaces.
- Discrete random media present unique challenges due to their heterogeneous nature.
Purpose of the Study:
- To derive rigorous boundary conditions for specific coherency dyadic at rough interfaces.
- To develop a method applicable to plane-parallel discrete random media.
- To validate the derived conditions against established scattering models.
Main Methods:
- Modification of the Twersky approximation for composite scattering systems (particles and rough surface).
- Formulation in a matrix-based setting for coherency dyadic and intensity column vectors.
- Comparison with results from a phenomenological facet model.
Main Results:
- Derived boundary conditions for specific coherency dyadic at rough interfaces.
- Obtained expressions for reflection and transmission matrices.
- Demonstrated equivalence of derived expressions to those from a facet model.
Conclusions:
- The modified Twersky approximation provides a robust framework for analyzing wave scattering at rough interfaces in discrete random media.
- The derived boundary conditions offer a more accurate representation compared to simplified interface models.
- This work unifies scattering theory for rough surfaces within discrete random media.
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