A review of transport theory methods in nonhomogeneous media

Daniel, R.W.; Badham, V. C.; Pomraning, G. C.

doi:10.1080/00411458508211674

Cited by 4 publications

(1 citation statement)

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“…For the case of continuously varying optical properties a thorough review of the analytical solution methods has been given by Daniel et al (1985). For example, consider the case of an infinitely deep, inhomogeneous water column that scatters isotropitally according to (Pomraning and Larsen 1980) M ( Here v1 is the largest (and, for isotropic scattering, the only) eigenvalue for homogeneous water considered earlier, as computed with M,.…”

Section: Asymptotic Optical Attenuationmentioning

confidence: 99%

Asymptotic optical attenuation

McCormíck¹

1992

Limnology & Oceanography

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The spectral irradiance attenuation coefficient normally varies with depth near the surface. It approaches a constant value in infinitely deep, homogeneous waters at depths below which all fluorescent or bioluminescent sources occur. The attenuation coefficient can equal the asymptotic coefficient for all depths, however, for a special surface illumination; when this equality occurs the angular dependence of the radiance does not change with depth. The attenuation coefficient for homogeneous waters of finite depth never approaches a constant, and the same is true for some examples of infinitely deep waters with spatially varying properties. A by‐product of the analysis is a demonstration of the importance of understanding the eigenvalue spectrum of the radiative transfer equation.

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Section: Asymptotic Optical Attenuationmentioning

confidence: 99%