Representative layer theory: describing absorption by particulate samples

Kevin D. Dahm; Donald J. Dahm

doi:10.1117/12.799241

29 August 2008 Representative layer theory: describing absorption by particulate samples

Kevin D. Dahm, Donald J. Dahm

Proceedings Volume 7065, Reflection, Scattering, and Diffraction from Surfaces; 70650V (2008) https://doi.org/10.1117/12.799241
Event: Optical Engineering + Applications, 2008, San Diego, California, United States

Abstract

This paper summarizes the Representative Layer Theory of diffuse reflection, and contrasts it with other mainstream theoretical approaches. A brief historical perspective is provided on the development of modeling strategies, broadly classified as those using continuous and discontinuous mathematics. It is shown that a sample composed of a series of distinct layers can be modeled straightforwardly and accurately using a discontinuous approach. The focus of the paper is the Representative Layer Theory, which broadens the discontinuous modeling approach so that it is applicable to particulate samples. Experimental data validating the Representative Layer Theory is presented and the theory will be shown to explain some observed physical phenomena that were long known but not well understood. Examples are drawn from Near-Infrared Spectroscopy but the modeling approaches presented are applicable to other types of spectroscopy.

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Kevin D. Dahm and Donald J. Dahm "Representative layer theory: describing absorption by particulate samples", Proc. SPIE 7065, Reflection, Scattering, and Diffraction from Surfaces, 70650V (29 August 2008); https://doi.org/10.1117/12.799241

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KEYWORDS

Particles

Absorption

Mathematical modeling

Statistical modeling

Reflectivity

Spectroscopy

Data modeling

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