Document Type
Article
Publication Title
Optics Express
Rights and Access Note
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Publication Date
1-1-2014
First Page
31329
Last Page
31336
Issue Number
25
Volume Number
22
Abstract/ Summary
Field observations and theoretical studies have shown that shapes of the volume scattering functions (VSFs) of oceanic particles in the backward directions, i.e., VSFs normalized by the total backscattering coefficient, exhibit a surprisingly low variability at angles near 120 degree, which is also confirmed by measurements of VSFs in coastal waters around the US. To investigate what this minimum variability angle (θ∗) represents, we estimated mean values of the VSFs in the backward angles using four mean value theorems: mean value for integral, weighted mean value for integral, classic mean value for differentiation and Cauchy's mean value. We also estimated the angles corresponding to the minimum values of the VSFs. We found θ ∗ to be very close to the angles representing the classic mean values for differentiation of the VSFs. The low variability is due to the fact that the classic mean values vary little with the composition and sizes of particles.
Repository Citation
Zhang, Xiaodong; Boss, Emmanuel; and Gray, Deric J., "Significance of scattering by oceanic particles at angles around 120 degree" (2014). Marine Sciences Faculty Scholarship. 209.
https://digitalcommons.library.umaine.edu/sms_facpub/209
Citation/Publisher Attribution
Zhang, X., E. Boss and D. J. Gray, 2014. Significance of scattering by oceanic particles at angles around 120 degree. Optics Express, 22, DOI:10.1364/OE.22.031329
Publisher Statement
©2014 Optical Society of America
DOI
10.1364/OE.22.031329
Version
publisher's version of the published document