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Physical Sciences and Mathematics Commons

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Mathematics

2017

Marine Sciences Faculty Scholarship

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Simplified Model Of Spectral Absorption By Non-Algal Particles And Dissolved Organic Materials In Aquatic Environments, B. B. Cael, Emmanuel Boss Oct 2017

Simplified Model Of Spectral Absorption By Non-Algal Particles And Dissolved Organic Materials In Aquatic Environments, B. B. Cael, Emmanuel Boss

Marine Sciences Faculty Scholarship

© 2017 Optical Society of America. Absorption by non-algal particles (NAP, ad) and colored dissolved organic matter (CDOM, ag) are frequently modeled by exponential functions of wavelength, either separately or as a sum. We present a new representation of NAP-plus-CDOM absorption adg based on the stretched exponential function adg(λ) = Aexp{−[s(λ − λo)]β}, whose parameter β can be considered a measure of optical heterogeneity. A double exponential representation of adg can be fit extremely well by a stretched exponential for all plausible parameter combinations, despite having one fewer free parameter than a double exponential. Fitting two published compilations of in …