To efficiently solve the coupling problems of two-wire line in complex large-scale environments excited by electromagnetic pulses, a novel hybrid PE-TL method consisting of transmission line (TL) equations and parabolic equations (PEs) is presented in this article. In this hybrid method, the PE model is applied to calculate the spatial fields in the presence of irregular terrains and buildings based on an efficient split-step Fourier transform technique and two-way propagation processing first. Then, the TL equations are employed to build the coupling model of a long two-wire line, and the excitation fields calculated by the PE method are introduced into the TL equations as distribution sources. Finally, transient current responses on termination loads of the two-wire line are calculated by inverse fast Fourier transform. Numerical examples are given to demonstrate the accuracy and high efficiency of the hybrid method, and the application of this presented method for the coupling of long two-wire line in realistic terrain constructed by the digital map technique is presented. It shows that the PE-TL method can tremendously decrease the memory requirement and computation time compare with the MoM method, and have the ability to simulate the coupling problem of long two-wire line in complex large-scale environments excited by electromagnetic pulses rapidly.

中文翻译：

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解决大范围环境下两线制线路与外部电磁脉冲耦合的PE-TL混合方法

为了有效解决电磁脉冲激发的复杂大规模环境中两线线路的耦合问题，本文提出了一种由传输线（TL）方程和抛物线方程（PE）组成的新型混合PE-TL方法。在这种混合方法中，首先基于高效的分步傅里叶变换技术和双向传播处理，应用 PE 模型计算存在不规则地形和建筑物的空间场。然后，利用TL方程建立了一条长两线制线路的耦合模型，并将PE法计算的激励场作为分布源引入到TL方程中。最后，通过快速傅立叶逆变换计算两线线路终端负载上的瞬态电流响应。数值算例证明了混合方法的准确性和高效率，并介绍了该方法在数字地图技术构建的现实地形中长两线线路耦合中的应用。表明PE-TL方法与MoM方法相比可以大大降低内存需求和计算时间，并且能够快速模拟复杂的大规模环境中由电磁脉冲激发的两线长线路的耦合问题。