Piatt C M, Takashima T
Appl Opt. 1987 Apr 1;26(7):1257-63. doi: 10.1364/AO.26.001257.
Lidar backscatter signatures from model water clouds are calculated for CO(2) lidar wavelengths (9.2-10.8 microm) using Mie theory. The lidar isotropic mass backscatter coefficient is found to be quite variable both with cloud model and with wavelength, with values ranging from ~90 to 15 g(-1) cm(2) at 9.2-microm wavelength and from 25 to 5 g(-1) cm(2) at 11 microm, there being a general decrease in values with increasing wavelength. The cloud isotropic backscatter-to-extinction ratio similarly varies with both wavelength and cloud model between extreme values of 0.14 and 0.008. It is found that the cloud mass extinction coefficient has a value at any wavelength which is independent of cloud model droplet size distribution to within ~10% accuracy, in agreement with other studies. The value of this quantity varies from 1929 g(-1) cm(2) at 9.2 microm to 1258 g(-1) cm(2) at 11.0 microm. If the isotropic volume backscatter coefficient and the isotropic backscatter-to-extinction ratio are measured by lidar, then using the above characteristics of mass extinction coefficient the cloud liquid water content can be measured at any wavelength to an accuracy of ~20% when the cloud optical depth is between 0 and 0.5, with an increasing error with increasing cloud optical depth. Using the relationship between cloud droplet mode radius and backscatter-to-extinction ratio, the mode radius can be determined to ~10% accuracy. Multiple scattering in the backscattered beam for the case of absorbing water clouds at CO(2) wavelengths is also considered. The cloud depth to which accurate information can be retrieved in typical water clouds varies from ~80 to 250 m depending on the wavelength and the cloud model, although some information is available to depths of 500 m in some clouds.
利用米氏理论计算了模型水云在二氧化碳激光雷达波长(9.2 - 10.8微米)下的激光雷达后向散射特征。发现激光雷达各向同性质量后向散射系数随云模型和波长变化很大,在9.2微米波长处的值范围约为90至15克⁻¹厘米²,在11微米处为25至5克⁻¹厘米²,一般随波长增加而减小。云的各向同性后向散射与消光比同样随波长和云模型在0.14至0.008的极值之间变化。结果发现,在约10%的精度范围内,云质量消光系数在任何波长下的值都与云模型液滴尺寸分布无关,这与其他研究一致。该量的值从9.2微米处的1929克⁻¹厘米²变化到11.0微米处的1258克⁻¹厘米²。如果通过激光雷达测量各向同性体积后向散射系数和各向同性后向散射与消光比,那么利用上述质量消光系数的特征,当云光学厚度在0至0.5之间时,在任何波长下都可以测量云液态水含量,精度约为20%,且随着云光学厚度增加误差增大。利用云滴模态半径与后向散射与消光比之间的关系,可以将模态半径确定到约10%的精度。还考虑了在二氧化碳波长下吸收性水云后向散射光束中的多次散射。在典型水云中能够检索到准确信息的云深度根据波长和云模型从约80米到250米不等,尽管在某些云中在500米深度处也能获得一些信息。