降雨融化层后向散射的蒙特卡罗仿真

云层上端冰雪粒子的融化形成了降雨融化层，随着粒子的下落融化过程开始，因此融化层的微观特性在垂直方向上是连续变化的.建立了降雨融化层的仿真模型，应用更为切合实际的三层球形粒子代替了融化层中的粒子.根据降雨过程中雨滴的尺寸分布推导了融化层中融化粒子的尺寸分布.根据Mie理论，计算了降雨率小于12.5 mm/h时，降雨融化层对5，10，35，94 GHz电磁波的雷达反射率和特征衰减因子的垂直廓线.计算结果表明，当电磁波频率高于20 GHz时，将无法观测到“雷达亮带”，这与实验结果相符.根据辐射传输理论，应用蒙特卡罗方法计算了垂直方向微观特性连续变化的降雨融化层对不同频率电磁波的反射率，比较了两种不同尺寸分布(Gamma分布和Marshall-Palmer分布)融化层反射率的差别，这为利用高频电磁波对降雨融化层进行遥感提供了理论和数值依据. 关键词： 降雨融化层 蒙特卡罗方法 后向散射 电磁波

Monte Carlo simulation of backscattering by a melting layer of precipitation

The melting snow particles on top of clouds form the melting layer of precipitation. The melting process starts with the snow particles falling, so the microphysical characteristics of the melting layer vary continuously in vertical direction. In this paper, a Monte Carlo simulation model for the melting layer is developed, and the melting snow particles are modeled by more practical three-layered spherical particles. The size distribution of the melting snow particles is derived from the raindrops size distribution. Vertical profiles of radar reflectivity and specific attenuation factor are computed at 5, 10, 35 and 94 GHz using the Mie theory at rain rates below 12.5 mm/h. It is shown that the radar bright band can be absent in the melting layer at frequencies above 20 GHz. This agrees with radar observations at 35 and 94 GHz. Base on the radiative transfer theory, the Monte Carlo method is used to compute the reflectivity of the melting layer whose microphysical characteristics are continuous in vertical direction. We compared the reflectivity of the melting layers with two different size-distributions (Gamma size distribution and Marshall-Palmer size distribution). These provided theoretical and numerical basis for radar remote sensing of the melting layer with high frequencies electromagnetic waves.