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Ocean optics attenuation coefficients: local versus spatially averaged.

N J McCormick, N K Højerslev

|October 14, 2010

Summary

Local and spatially averaged diffuse attenuation coefficients differ unless they are eigenvalues of the radiative transfer equation. New equations relate these coefficients, aiding in optical property self-consistency checks.

Area of Science:

Ocean optics
Radiative transfer theory
Remote sensing

Background:

Diffuse attenuation coefficients describe light penetration in aquatic environments.
Spatially averaged and local coefficients are crucial for accurate optical property assessment.
Discrepancies between these coefficients can impact the closure of optical models.

Purpose of the Study:

To investigate the relationship between local and spatially averaged diffuse attenuation coefficients.
To identify conditions under which these coefficients are equivalent.
To provide equations for relating local to spatially averaged coefficients for improved optical property inference.

Main Methods:

Analysis of the radiative transfer equation.
Derivation of explicit mathematical relationships between local and spatially averaged coefficients.

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Examination of eigenvalue conditions for coefficient equivalence.

Main Results:

Local and spatially averaged diffuse attenuation coefficients are generally not equal.
Equivalence occurs only when both coefficients are eigenvalues of the radiative transfer equation.
Explicit equations are derived to link spatially averaged coefficients to local coefficients.

Conclusions:

The study provides a theoretical framework for understanding differences in diffuse attenuation coefficients.
The derived equations are valuable for assessing the self-consistency (closure) of optical properties in various media.
This work contributes to more accurate modeling in ocean optics and related fields.