基于等效介电常数与非均匀雨胞模型的三维抛物方程雨衰建模研究

      3DPE Based Rain Attenuation Modeling with Equivalent Dielectric Constant and Inhomogeneous Rain Cell Model

      • 摘要: 针对传统均匀雨模型难以对非均匀降雨环境中毫米波传播衰减精准预测的问题,本文提出一种基于改进雨胞模型的三维抛物方程(3-D Parabolic Equation, 3DPE)雨衰预测方法。该方法通过分形几何中点偏移插值算法构建非均匀雨胞结构,从而还原真实降雨场的空间分布,同时综合考虑雨滴尺寸分布、环境温度及雨滴形状等关键参数,推导雨介质等效介电常数的解析表达式,进而修正大气折射率,最终构建适用于非均匀降雨场景的3DPE雨衰预测模型。基于该模型对对流降雨、锋面降雨、层状降雨及台风降雨四种典型非均匀降雨场景进行特征衰减计算,结果表明:在水平极化与垂直极化方式下,模型预测结果均与国际电信联盟(ITU-R P.838-3)推荐模型高度吻合,尤其在10-40 GHz毫米波通信Ku-Ka核心频段,两者差异小于0.5dB/km。

         

        Abstract: To address the issue that traditional uniform rain models fail to accurately predict millimeter-wave propagation attenuation in inhomogeneous rainfall environments, this paper proposes a rain attenuation prediction method for the three-dimensional parabolic equation (3-D Parabolic Equation, 3DPE) based on an improved rain cell model. This method constructs an inhomogeneous rain cell structure using the midpoint displacement interpolation algorithm of fractal geometry to restore the spatial distribution of a realistic rainfall field. Meanwhile, it comprehensively considers key parameters including raindrop size distribution, ambient temperature, and raindrop shape, derives the analytical expression for the equivalent dielectric constant of the rain medium, and further corrects the atmospheric refractive index. Finally, a 3DPE rain attenuation prediction model suitable for inhomogeneous rainfall scenarios is established. Characteristic attenuation calculations are carried out based on this model for four typical inhomogeneous rainfall scenarios: convective rainfall, frontal rainfall, stratiform rainfall, and typhoon rainfall. The results show that the model predictions are in high agreement with the recommendation model of the International Telecommunication Union (ITU-R P.838-3) under both horizontal and vertical polarizations. In particular, within the 10-40 GHz Ku-Ka core band for millimeter-wave communication, the deviation between the two is less than 0.5 dB/km.

         

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