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International Journal of Antennas and Propagation
Volume 2019, Article ID 2839630, 10 pages
Research Article

Modeling of Electromagnetic Wave Coupling to Thin-Wire Structures in Terrain Environments Using Hybrid PE/TPIE Method

Institute of Electromagnetics, Southwest Jiaotong University, Chengdu 610031, China

Correspondence should be addressed to Cheng Liao; nc.ude.utjws@oail.c

Received 30 January 2019; Revised 8 May 2019; Accepted 11 June 2019; Published 4 July 2019

Academic Editor: Hervé Aubert

Copyright © 2019 Dongmin Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Analysis of electromagnetic wave coupling to thin-wire structures plays a very important role in electromagnetic compatibility (EMC). In this paper, a hybrid method, which is integrated parabolic equation (PE) and two-potential integral equation (TPIE), is presented to analyze the coupling problems in terrain environments. To model the realistic scenarios, PE based on the split-step Fourier transform (SSFT) technique is applied to solve the three-dimensional field distribution to obtain the external excitations for the wires. According to the boundary conditions, the high-precision TPIE solved via the moment method (MoM) is developed to simulate the induced currents on the wires. The hybrid method takes the terrain influences into account and provides a more reasonable result compared to the traditional approaches. Numerical examples are given to demonstrate correctness of the proposed method. Simulation experiments of field-to-transmission lines with different frequencies, radiation source heights, conductor radii, and lengths, in a realistic scenario constructed by a digital map, are carried out to investigate the coupling properties.