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Radiative transfer in two dimensions through fog.

B W Fowler, C C Sung

|March 4, 2010

Summary

This summary is machine-generated.

This study presents a numerical method for analyzing radiative transfer in fog, detailing how multiple scattering impacts light beams of different profiles and wavelengths.

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Area of Science:

Atmospheric Optics
Computational Physics
Radiative Transfer Theory

Background:

Understanding light propagation through atmospheric aerosols like fog is crucial for remote sensing and optical communication.
Previous models often simplified the complex interactions of multiple scattering within dense media.
The radiative transfer equation describes light interaction with matter, but solving it numerically for complex scenarios is challenging.

Purpose of the Study:

To develop a numerical method for solving the 3-D time-independent unpolarized radiative transfer equation.
To investigate the effects of multiple scattering on different light beam profiles (uniform and Gaussian) and wavelengths within Deirmendjian C3 fog.
To quantify transmission, backscatter, contrast degradation, and beam spread.

Main Methods:

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Developed a numerical solution by expanding the radiative transfer equation in orders of scattering.
Formulated a 2-D numerical algorithm using an eight-direction quadrature approximation for the source function.
Implemented an optimized path-by-path intensity integration scheme.
Utilized computer code to simulate scenarios at 1.06, 3.0, and 10.6 micrometers.

Main Results:

Quantified transmission and backscatter for both uniform and Gaussian beams in C3 fog.
Analyzed contrast degradation for the uniform beam due to multiple scattering.
Examined the spread of the Gaussian beam caused by scattering effects.
Observed wavelength-dependent scattering behavior.

Conclusions:

The developed numerical method effectively simulates multiple scattering effects in fog.
Multiple scattering significantly alters beam characteristics, including spread and contrast.
The findings are relevant for modeling light propagation in realistic atmospheric conditions.