三维抛物方程的误差分析及其在电波传播中的应用

摘要

Parabolic Equation ( PE) is the main method to solve the radio propagation under complex environment .The five rel-ative errors which are engendered by dealing with pseudo-differential operator Q in course of parabolic equation deduction are ana-lyzed in detail.The result shows that Padé-(1, 1) and Feit-Fleck approximate estimation methods are more ideal .Then the loss of radio propagation is evaluated by the 3D PE method.The evaluation result is consistent with the result of the classical method , which verifies the precision and reliability of 3D PE method.%抛物型方程（ PE）是目前预测复杂环境下电波传播特性的主要方法。首先对抛物型方程推导过程中伪微分算子Q的五种近似处理产生的误差进行详细分析与仿真。结果表明， Q采用Padé-（1，1）近似和Feit-Fleck近似相对误差较小，处理效果更理想。然后计算自由空间中电磁波的传播衰减，其结果与经典理论计算值相吻合，验证了宽角PE算法的精度和可靠性。