Kattawar G W, Plass G N, Catchings F E
Appl Opt. 1973 May 1;12(5):1071-84. doi: 10.1364/AO.12.001071.
Matrix operator theory is used to calculate the reflected and transmitted radiance of photons that have interacted with plane-parallel maritime haze layers. The results are presented for three solar zenith angles, three values of the surface albedo, and a range of optical thicknesses from very thin to very thick. The diffuse flux at the lower boundary and the cloud albedo are tabulated. The forward peak and other features in the single scattered phase function cause the radiance in many cases to be very different from that for Rayleigh scattering. In particular the variation of the radiance with both the zenith or nadir angle and the azimuthal angle is more marked and the relative limb darkening under very thick layers is greater for haze M than for Rayleigh scattering. The downward diffuse flux at the lower boundary for A = 0 is always greater and the cloud albedo is always less for haze M than for Rayleigh layers.
矩阵算子理论用于计算与平面平行的海洋雾层相互作用的光子的反射和透射辐射率。给出了三个太阳天顶角、三个地表反照率值以及从非常薄到非常厚的一系列光学厚度的结果。列出了下边界的漫射通量和云反照率。单次散射相位函数中的前向峰值和其他特征导致在许多情况下辐射率与瑞利散射的辐射率有很大不同。特别是，辐射率随天顶角或天底角以及方位角的变化更为明显，并且对于雾M，在非常厚的层下相对边缘变暗比瑞利散射更大。对于雾M，A = 0时下边界的向下漫射通量总是大于瑞利层，并且云反照率总是小于瑞利层。
