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Related Experiment Video

Updated: Jun 12, 2026

Characterization of Surface Modifications by White Light Interferometry: Applications in Ion Sputtering, Laser Ablation, and Tribology Experiments

Characterization of Surface Modifications by White Light Interferometry: Applications in Ion Sputtering, Laser Ablation, and Tribology Experiments

Published on: February 27, 2013

Influence of interface roughness on surface and bulk scattering.

Mady Elias¹, Patrizia Castiglione, Georges Elias

¹Institut des Nanosciences de Paris (INSP), UMR CNRS 7588, Université Pierre et Marie Curie, 140 rue de Lourmel, 75015 Paris, France. mady.elias@insp.jussieu.fr

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|May 29, 2010

Summary

This study models light scattering from rough surfaces, finding surface roughness minimally impacts reflectance spectra due to bulk scattering but causes a global spectrum shift from surface scattering.

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Area of Science:

Optics and Photonics
Materials Science
Computational Physics

Background:

Understanding light interaction with scattering media is crucial for applications in materials science and optics.
Previous models often simplify surface interface properties, limiting accuracy for real-world materials.

Purpose of the Study:

To develop a theoretical model for light exiting scattering media with rough interfaces.
To quantitatively compare surface and bulk scattering contributions under diffuse and collimated illumination.
To assess the impact of surface roughness on the optical properties of pigmented materials.

Main Methods:

Combined calculation of reflection/transmission from Gaussian rough surfaces with radiative transfer equation solution.
Utilized the auxiliary function method for solving the radiative transfer equation.
Performed numerical simulations varying roughness parameters and analyzed flux conservation for model validation.

Main Results:

Quantitative comparisons between surface and bulk scattered fluxes were achieved for various roughness parameters.
Model validity was established through flux conservation analysis.
For a real pigment, surface roughness showed minimal impact on the reflectance spectrum due to bulk scattering but induced a spectral translation from surface scattering.

Conclusions:

The developed theoretical model accurately describes light transport in scattering media with rough interfaces.
Surface roughness has a dual effect: negligible impact on spectral shape (bulk scattering) and a translational shift (surface scattering).
The findings are applicable to optimizing optical properties of pigmented materials and understanding light-matter interactions.