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Related Experiment Video

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Determination of Aggregate Surface Morphology at the Interfacial Transition Zone (ITZ)

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Published on: December 16, 2019

Analytical fitting model for rough-surface BRDF.

Ingmar G E Renhorn¹, Glenn D Boreman

¹FOI , Swedish Defense Research Agency, PO Box 1165, SE-581 11 Linköping, Sweden.

|August 20, 2008

Summary

A new physics-based model accurately describes rough surface bidirectional reflectance distribution function (BRDF) scattering. This model accounts for various surface properties and provides accurate predictions across a wide range of measurements.

Area of Science:

Optics and Photonics
Materials Science
Surface Physics

Background:

Bidirectional Reflectance Distribution Function (BRDF) is crucial for understanding light-surface interactions.
Existing models often struggle to accurately represent scattering from rough surfaces.
Accurate BRDF modeling is essential for applications in remote sensing, computer graphics, and optical engineering.

Purpose of the Study:

To develop a comprehensive physics-based model for rough surface BRDF.
To incorporate key physical parameters such as surface roughness, effective index, and shadowing effects.
To validate the model against experimental BRDF measurements.

Main Methods:

Developed a novel analytical model incorporating surface autocovariance and correlation length.

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Included distinct terms for surface scatter, bulk scatter, and retroreflection.

Utilized Mathematica's FindFit function to fit the model to experimental BRDF data across various incident angles.

Main Results:

The developed model accurately describes scattering data over two orders of magnitude in BRDF.
The model incorporates fourteen fitting parameters that, once determined, allow for accurate predictions without further adjustment.
The functional form of the model proved effective in fitting BRDF measurements over a wide range of incident angles.

Conclusions:

The physics-based model provides an accurate and convenient tool for analyzing and predicting rough surface BRDF.
The model's ability to capture complex scattering phenomena makes it valuable for diverse scientific and engineering applications.
The analytical nature of the model facilitates its integration into numerical computations and simulations.