期刊
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
卷 133, 期 -, 页码 646-651出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jqsrt.2013.10.001
关键词
Beer-Lambert-Bouguer law; Poisson process; Optical depth; Stochastic media; Non-exponential transmission laws
资金
- Cottrell College Science Award from the Research Corporation for Scientific Advancement
- National Science Foundation [AGS-1230240]
- Div Atmospheric & Geospace Sciences
- Directorate For Geosciences [1230240] Funding Source: National Science Foundation
Ballistic photon models of radiative transfer in discrete absorbing random media have demonstrated deviations from the Beer-Lambert-Bouguer law of exponential attenuation. A number of theoretical constructs to quantify the deviation from the Beer-Lambert-Bouguer law have appeared in the literature, several of which rely principally on a statistical measure related to the statistics of the absorber spatial positions alone. Here, we utilize a simple computational model to explore the interplay between the geometric size of the absorbing obstacles and the statistics governing the placement of the absorbers in the volume. We find that a description of the volume that depends on particle size and the spatial statistics of absorbers is not sufficient to fully characterize deviations from the Beer-Lambert-Bouguer law. Implications for future further theoretical and computational explorations of the problem are explored. (C) 2013 Elsevier Ltd. All rights reserved.
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