Gordon H R
Appl Opt. 1979 Apr 15;18(8):1161-6. doi: 10.1364/AO.18.001161.
The radiative transfer equation is modified to include the effect of fluorescent substances and solved in the quasi-single scattering approximation for a homogeneous ocean containing fluorescent particles with wavelength independent quantum efficiency and a Gaussian shaped emission line. The results are applied to the in vivo fluorescence of chlorophyll a (in phytoplankton) in the ocean to determine if the observed quantum efficiencies are large enough to explain the enhancement of the ocean's diffuse reflectance near 685 nm in chlorophyll rich waters without resorting to anomalous dispersion. The computations indicate that the required efficiencies are sufficiently low to account completely for the enhanced reflectance. The validity of the theory is further demonstrated by deriving values for the upwelling irradiance attenuation coefficient at 685 nm which are in close agreement with the observations.
对辐射传输方程进行了修正，以纳入荧光物质的影响，并在准单次散射近似下求解，该近似适用于含有具有波长无关量子效率和高斯形状发射线的荧光粒子的均匀海洋。将结果应用于海洋中叶绿素a（浮游植物中）的体内荧光，以确定观察到的量子效率是否足够大，从而在不借助异常色散的情况下解释富含叶绿素的水域中685nm附近海洋漫反射率的增强。计算表明，所需的效率足够低，足以完全解释反射率的增强。通过推导685nm处向上辐照度衰减系数的值，进一步证明了该理论的有效性，该值与观测结果密切一致。
