To predict the propagation of radio waves in the environment of dielectric ground and dielectric obstacles, a new two-way parabolic equation (2W-PE) method based on the domain decomposition principle and surface impedance boundary conditions (SIBC) is proposed. First, we decompose the obstacle area into different subdomains and derive the SIBC in each subdomain in detail; then, the discrete hybrid Fourier transform (DMFT) in the upper subdomain and finite difference (FD) algorithm in the lower subdomain is used to solve 2W-PE combined with SIBC, respectively. After that, we explain the algorithm steps in the process of calculating the total field, compared with the traditional 2W-PE, and then finally introduce the method of moments (MoM) combined with the enhanced discrete complex image (E-DCIM) method for accuracy verification of the new 2W-PE algorithm. The simulation results show that no matter how the obstacle medium parameters change, the results of 2W-PE method proposed in this paper and MoM are always in good agreement, which proves the accuracy of 2W-PE and its superiority in speed. Therefore, this paper provides a reliable and efficient method for solving the problem of radio wave propagation in the presence of obstacles, especially in the case of low-lossy obstacles.

中文翻译：

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低损耗障碍环境中无线电波传播的快速算法研究

为了预测电波在电介质地面和电介质障碍物环境中的传播，基于域分解原理和表面阻抗边界条件（SIBC），提出了一种新的双向抛物线方程（2W-PE）方法。首先，我们将障碍区域分解为不同的子域，并详细推导每个子域中的SIBC。然后，分别采用上子域的离散混合傅立叶变换（DMFT）和下子域的有限差分（FD）算法分别求解与SIBC结合的2W-PE。然后，与传统的2W-PE相比，我们解释了计算总场的过程中的算法步骤，然后最后介绍了矩量法（MoM）与增强的离散复数图像（E-DCIM）方法相结合来验证新的2W-PE算法的准确性。仿真结果表明，无论障碍介质参数如何变化，本文提出的2W-PE方法的结果与MoM总是吻合良好，证明了2W-PE的准确性及其在速度上的优越性。因此，本文提供了一种可靠且有效的方法来解决存在障碍物时无线电波传播的问题，特别是在低损耗障碍物的情况下。