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Asymptotic optical attenuation in sea water

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dc.contributor.authorMarinyuk, V. V.
dc.contributor.authorSheberstov, S. V.
dc.contributor.authorМаринюк, Виталий Владиславович
dc.date.accessioned2024-12-28T08:02:56Z
dc.date.available2024-12-28T08:02:56Z
dc.date.issued2023
dc.description.abstractA simple method is proposed for calculating the asymptotic attenuation coefficient K∞ of sea water. The method is based on the scaling analysis of the radiative transfer equation within the small-angle approximation. From the scaling, it follows that K∞ is analytically expressed in terms of the absorption coefficient, the transport scattering coefficient, and two dimensionless numeric constants (scaling exponents) depending on a specific scattering phase function. For a given phase function, the scaling exponents can be determined by numerical calculations of the downwelling irradiance. We test the method on a number of oceanlike scattering models. A direct numerical integration of the radiative transfer equation is carried out with the DISORT code for the Petzold, Morel et al., Fournier–Forand and Kopelevich phase functions. Our numerical results agree perfectly with the small-angle scaling and allow us to establish an explicit expression for K∞ for each phase function. We find that the scaling exponents depend rather weakly on the specific angular profile of the phase function and can be taken equal to their values for the Henyey–Greenstein function (this approximation leads to a relative error in the value K∞ less than 5%). So that, within a few percent accuracy, the coefficient K∞ is governed only by the absorption and transport scattering coefficients and is described by a universal formula. © 2022 Elsevier Ltd
dc.identifier.citationMarinyuk, V. V. Asymptotic optical attenuation in sea water / Marinyuk, V.V., Sheberstov, S.V. // Journal of Quantitative Spectroscopy and Radiative Transfer. - 2023. - 295. - 10.1016/j.jqsrt.2022.108419
dc.identifier.doi10.1016/j.jqsrt.2022.108419
dc.identifier.urihttps://www.doi.org/10.1016/j.jqsrt.2022.108419
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85142121939&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000892231600013
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/29866
dc.relation.ispartofJournal of Quantitative Spectroscopy and Radiative Transfer
dc.subjectAsymptotic radiance distribution
dc.subjectDiffuse attenuation coefficient
dc.subjectLight scattering
dc.subjectOptical attenuation in sea water
dc.subjectRadiative transfer equation
dc.subjectScaling
dc.titleAsymptotic optical attenuation in sea water
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume295
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relation.isAuthorOfPublication.latestForDiscovery0799c61e-2433-49a2-866b-c1467ab32742
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