基于双向抛物线方程电波传播分析的矩量法验证研究

求解复杂环境下的电波传播问题,双向抛物线方程(2W-PE)是一种常用、准确、高效的方法,但其计算精度的验证一直是一个难题。为了在介质地面和障碍物条件下验证双向抛物线方程的计算精度,提出一种利用矩量法(MoM)验证双向抛物线方程的计算方法。该方法首先引入抛物线方程和矩量法统一的波源设置,然后推导了场型格林函数和PMCHW方程,构造了矩阵方程,利用增强离散复镜像方法(E-DCIM)对存在介质地面的格林函数进行有效处理,并给出和数值积分法的对比结果,从而得出了矩量法计算空间电波传播场值的近距离计算方法。数值示例显示,矩量法的解析计算结果足以有效验证双向抛物线方程的计算精度。

Research on MoM Verification Based on 2W-PE Wave Propagation Analysis

At present, 2-way parabolic equation(2 W-PE) is a commonly-used accurate and efficient method in solving radio wave propagation problems in complex environments, but the verification of its calculation accuracy has always been a difficult problem. In order to verify the calculation accuracy of 2 W-PE under the conditions of the dielectric ground and obstacles, this paper proposes a method to verify the 2 W-PE using the method of moments(MoM). This method first introduces the unified wave source setting of 2 W-PE and MoM, and then derives the field-type Green′s function and PMCHW equation to construct the matrix equation. The enhanced discrete complex image method(E-DCIM) is used to effectively deal with the Green′s function of the dielectric ground, whose result is compared with numerical integration. Finally a short-distance calculation method is provided for calculating the space electric wave propagation field value by MoM. Numerical examples show that the calculation results of MoM are sufficient to effectively verify the calculation accuracy of 2 W-PE.