A comparison of numerical and analytical radiative-transfer solutions for plane albedo of natural waters

Sokoletsky, Leonid; Николаева, О. В.; Budak, Vladimir P.; Bass, L. P.; Lunetta, Ross S.; Kuznetsov, V. S.; Kokhanovsky, Alexander A.

doi:10.1016/j.jqsrt.2009.03.006

Cited by 15 publications

(14 citation statements)

References 28 publications

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“…θ 0 in degrees Lee, Du, and Arnone (2005) International Journal of Remote Sensing 4201 equation derived by us for the scattering phase function, called the Fournier-ForandMobley (FFM), which is very popular in marine optics (Mobley, Sundman, and Boss 2002;Sokoletsky, Nikolaeva, et al 2009):…”

Section: Scattering Correction Issuementioning

confidence: 99%

“…Note that this approximation has been created on the base of a numerical solution of the radiative transfer equation by the Mishchenko et al's (1999) invariant imbedding method (IIM); the validation of this approximation may be found in Sokoletsky (2006a, 2006b), Sokoletsky, Nikolaeva et al (2009), and Sokoletsky, Kokhanovsky, and Shen (2013). An asymmetry factor g has been estimated by Equations (13) and (14).…”

Section: Scattering Correction Issuementioning

confidence: 99%

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Optical closure for remote-sensing reflectance based on accurate radiative transfer approximations: the case of the Changjiang (Yangtze) River Estuary and its adjacent coastal area, China

Sokoletsky

Shen

2014

International Journal of Remote Sensing

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Optical closure exercises are pivotal for evaluating the accuracy of water quality remote-sensing techniques. The agreement between radiometrically derived and inherent optical property (IOP)-derived above-water spectral remote-sensing reflectance R rs (λ) is necessary for resolving IOPs, the diffuse attenuation coefficient, and biogeochemical parameters from space. We combined spectral radiometric and IOP measurements to perform an optical closure exercise for two optically contrasting Chinese waters -the Changjiang (Yangtze) River Estuary and its adjacent coastal area in the East China Sea. The final aim of our investigation was to compare two derivations of R rs (λ): R rs (λ), derived from radiometric measurements; and R rs (λ), derived from simultaneous IOP measurements. Five subsequent steps have been taken to achieve this goal, including (1) estimation of the R rs (λ) from radiometric measurements; (2) scattering correction for the non-water spectral absorption coefficient a pd (λ); (3) estimation of the below-water spectral remote-sensing reflectance r rs (λ) from IOPs measurements; (4) the estimation of the R rs (λ) from the r rs (λ) values; and (5) the comparison between the R rs (λ) derived from radiometric and IOP measurements. All steps were realized by using both direct measurements and different models based on radiative transfer theory. Results demonstrated that the impact of the errors caused by the scattering correction procedure and conversion of radiometric quantities into R rs (λ) may be rather significant, especially in the long-wavelength spectrum range. Nevertheless, spectral features were similar between these R rs (λ) sets for all waters -from relatively clear to very turbid. Exploiting this fact allows use of the spectral reflectance ratios for remote sensing of the estuarine and coastal Chinese waters.

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Section: Scattering Correction Issuementioning

confidence: 99%

Section: Scattering Correction Issuementioning

confidence: 99%

Optical closure for remote-sensing reflectance based on accurate radiative transfer approximations: the case of the Changjiang (Yangtze) River Estuary and its adjacent coastal area, China

Sokoletsky

Shen

2014

International Journal of Remote Sensing

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“…Two particulate scattering phase functions p(q) with the backscattering ratio B p = b bp /b p = 0.0588 (Kokhanovsky and Sokoletsky, 2006a) and B p = 0.0163 (Haltrin, 1998b;Sokoletsky et al, 2009) were used to represent typical Case 1 and Case 2 waters, respectively. The second p(q) is the well established Fournier-Forand-Mobley (FFM) particulate scattering phase function.…”

Section: Modeling Remote-sensing Reflectancementioning

confidence: 99%

Assessment of the water quality components in turbid estuarine waters based on radiative transfer approximations

Sokoletsky¹,

Lunetta²,

Wetz³

et al. 2012

Israel Journal of Plant Sciences

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Bio-geo-optical data collected in the Neuse River Estuary, North Carolina, USA were used to develop a semi-empirical optical algorithm for assessing inherent optical properties associated with water quality components (WQCs). Three wavelengths (560, 665, and 709 nm) were explored for algorithm development. WQCs included chlorophyll a (Chl), volatile suspended solids (VSS), fixed suspended solids (FSS), total suspended solids (TSS), and absorption of chromophoric dissolved organic matter (a CDOM ). The relationships between the measured remote-sensing reflectance and the WQCs were derived based on radiative transfer model calculations. We simulated and analyzed the impact of CDOM absorption in the red and near infrared spectral domains, multiple scattering, and scattering phase function on the accuracy of WQCs prediction. The algorithm was validated by comparing experimental Chl dynamics with predicted values and a numerical comparison between measured and modeled Chl values. The numerical comparison yielded the highest correlation between predicted and measured WQCs for Chl (R 2 = 0.88) and the lowest for FSS (R 2 = 0.00), while the best and worst mean-normalized root-mean-squares errors were obtained for a CDOM (412.5) and FSS (35% and 59%, respectively). WQCs retrieval accuracy was typically significantly better at values of a TSS, red > 0.5 m -1 .

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“…The previous version of the presented algorithm was outlined by Sokoletsky et al (2009), where it was applied to the calculation of solar light reflectance by natural sea waters. There the scattering phase functions were defined by their values in nodes of a very refined mesh over the interval [−1, 1] and approximated by piecewise linear functions.…”

Section: Numerical Algorithmmentioning

confidence: 99%

Theoretical study of solar light reflectance from vertical snow surfaces

Николаева

Kokhanovsky

2013

The Cryosphere

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Abstract. The influence of horizontal and vertical inhomogeneity of snow surfaces on solar light reflectance is studied using the radiative transfer theory (RTT). We compared 1-D RTT and 2-D RTT and found that large errors are produced if the 1-D RTT is used for the calculation of the snow reflection function (and, therefore, also in the retrievals of the snow grain radii) in 2-D measurement geometries. Such 2-D geometries are common in the procedures for the determination of the effective snow grain radii using near-infrared photography and spectroscopy of vertical snow walls. In particular, we have considered three cases for the numerical calculations: (1) the case with no black film; (2) the case with a black film at the pit's bottom; (3) the case with a black film at the pit's bottom and also at one of the vertical snow walls.

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A comparison of numerical and analytical radiative-transfer solutions for plane albedo of natural waters

Cited by 15 publications

References 28 publications

Optical closure for remote-sensing reflectance based on accurate radiative transfer approximations: the case of the Changjiang (Yangtze) River Estuary and its adjacent coastal area, China

Optical closure for remote-sensing reflectance based on accurate radiative transfer approximations: the case of the Changjiang (Yangtze) River Estuary and its adjacent coastal area, China

Assessment of the water quality components in turbid estuarine waters based on radiative transfer approximations

Theoretical study of solar light reflectance from vertical snow surfaces

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