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Scattering And Absorption of Light in Planetary Regoliths

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Four-stream solution for atmospheric radiative transfer over a non-Lambertian surface.

S Liang, A H Strahler

|October 12, 2010

Summary

A new model accurately calculates atmospheric radiance over non-Lambertian surfaces. Incorporating surface reflectance properties (BRDF) significantly improves accuracy for radiance and flux calculations.

Area of Science:

Atmospheric physics
Radiative transfer theory
Remote sensing

Background:

Atmospheric radiance modeling is crucial for climate and remote sensing applications.
Existing models often simplify surface reflectance, limiting accuracy over heterogeneous terrains.
Accurate characterization of the atmospheric radiation field over non-Lambertian surfaces remains a challenge.

Purpose of the Study:

To develop an analytical model for atmospheric radiance over non-Lambertian surfaces.
To improve the accuracy of multiple-scattering radiance calculations.
To assess the impact of surface bidirectional reflectance distribution function (BRDF) on radiative transfer.

Main Methods:

The model divides the radiation field into unscattered, single-scattering, and multiple-scattering components.

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Unscattered and single-scattering radiance are computed exactly.

A δ-four-stream approximation is extended for azimuth-independent multiple-scattering radiance over surfaces modeled by a statistical BRDF.

Accuracy is validated against results from a Gauss-Seidel iterative algorithm.

Main Results:

The extended δ-four-stream approximation accurately calculates multiple-scattering radiance.
Incorporating BRDF into the four-stream approximation significantly enhances the accuracy of radiance and radiative flux calculations.
Comparisons with Lambertian surface models highlight the importance of non-Lambertian surface BRDF.

Conclusions:

The developed analytical model provides a more accurate representation of atmospheric radiance over non-Lambertian surfaces.
The inclusion of BRDF is essential for precise radiative transfer modeling in realistic surface conditions.
This improved model has implications for enhancing the accuracy of remote sensing data interpretation and climate simulations.