Xu L, Sun B
Appl Opt. 1991 Apr 20;30(12):1525-36. doi: 10.1364/AO.30.001525.
Using a more realistic cirrus cloud model, the characteristics of transmittance, emittance, and optical thickness and their relationships to cirrus in a diverse set of cases are studied by solving the equation of transfer of IR radiation. The doubling method is employed in the multiple scattering calculation. The satellite-observed brightness temperatures for different cases are computed, and stepwise regression analyses are performed to yield retrieval equations for sea surface temperature (SST). It is shown that the radiative properties of cirrus depend strongly on particle concentration, thus on the optical thickness of clouds. For clear atmospheres, channel 8 (11.2 microm) is more transparent than other channels. For cirrus clouds only, when the optical thickness of cirrus tau(c) is <0.10, channel 8 is still more transparent, while, with tau(c) increasing from 0.2 to between 4 and 8, channel 12 (4 microm) becomes the most transparent. When tau(c) >/= 8, the transparency of channel 12 decreases and those of other channels increase. For a very large r, the transparency of VAS channels will become almost equal. In addition, the IR absorption emittance of cirrus and the brightness temperatures also have sensitivities to different cloud optical thicknesses. The general retrieval equation for the determinations of SST, which is suitable for the clear air model as well as for the cirrus cloud atmospheres (with our definition of cirrus), is obtained through a combination of channels 12, 8, 6 (4.5 microm), and 5 (13.3 microm).The retrieval error is <1.0 K. The error analyses indicate that the clear air retrieval equations should not be used for SST determination in cirrus conditions.
通过求解红外辐射传输方程,利用更逼真的卷云模型,研究了在各种情况下透过率、发射率、光学厚度的特性及其与卷云的关系。在多次散射计算中采用加倍法。计算了不同情况下卫星观测的亮温,并进行逐步回归分析以得出海面温度(SST)的反演方程。结果表明,卷云的辐射特性强烈依赖于粒子浓度,进而依赖于云的光学厚度。对于晴空大气,通道8(11.2微米)比其他通道更透明。仅对于卷云,当卷云光学厚度τ(c)<0.10时,通道8仍然更透明,而随着τ(c)从0.2增加到4至8之间,通道12(4微米)变得最透明。当τ(c)≥8时,通道12的透明度降低,其他通道的透明度增加。对于非常大的r,VAS通道的透明度将几乎相等。此外,卷云的红外吸收发射率和亮温对不同的云光学厚度也具有敏感性。通过组合通道12、8、6(4.5微米)和5(13.3微米),得到了适用于晴空模型以及卷云大气(根据我们对卷云的定义)的用于确定SST的通用反演方程。反演误差<1.0K。误差分析表明,晴空反演方程不应在卷云条件下用于SST的确定。