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Analytic model of ocean color.

S Sathyendranath, T Platt

|April 20, 1997

Summary

This study presents an analytic model for ocean color, estimating sea surface reflectance using a quasi-single-scattering approximation. The model accurately reproduces reflectance variations with incident light angle, though it may underestimate a key parameter (r) in certain conditions.

Area of Science:

Ocean optics and remote sensing
Radiative transfer theory in natural waters

Background:

Ocean color is intrinsically linked to spectral variations in sea surface reflectance.
Existing models often express sea surface reflectance using absorption (a) and backscattering (b(b)) coefficients.

Purpose of the Study:

To develop and validate an analytic model for estimating sea surface reflectance.
To theoretically derive the quasi-stable parameter (r) and assess its dependence on optical properties and incident light.
To evaluate the model's performance against Monte Carlo simulations for different scattering scenarios.

Main Methods:

Employed the quasi-single-scattering approximation, neglecting transspectral processes for vertically homogeneous water columns.
Derived a theoretical expression for the parameter (r) as a function of mean cosines and scattering coefficients.

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Compared model computations with Monte Carlo simulations, considering molecular and particle scattering cases.

Main Results:

The analytic model provides a theoretical expression for the parameter (r), approximately 0.33.
The model accurately reproduces reflectance variations with incident zenith angle for molecular scattering.
For particle scattering, the model shows similar angular variations but can underestimate (r) by up to 0.06 (12-17% relative error) when backscattering dominates absorption.

Conclusions:

The analytic model offers a valuable tool for understanding ocean color, particularly in remote sensing applications.
It provides insights into the parameter (r) and its relationship with fundamental optical properties.
The model's inputs are accessible in remote sensing contexts, highlighting its practical utility.