全球定位系统2026，Vol.51Issue(4)：37-46,10.DOI:10.12265/j.gnss.2026200
预测源区复杂地形下低频地波传播特性的3D-FDTD+PE混合方法
A 3D-FDTD+PE hybrid method for predicting the propagation characteristics of low-frequency ground waves in complex terrain of the source area
摘要
Abstract
To address the challenge of predicting the propagation characteristics of low-frequency ground waves in large-scale complex terrains,a hybrid method combining near-field three-dimensional finite-difference time-domain(3D-FDTD)and far-field three-dimensional parabolic equation(3D-PE)is proposed.This approach effectively meets the requirements of electromagnetic calculations for mixed-scale targets in both the local complex source area and the large-scale radiation area.The 3D-FDTD method is adopted in the complex source area to ensure calculation accuracy,while the 3D-PE method is utilized in the relatively flat radiation area to enhance computational efficiency.By performing a time-domain to frequency-domain variable step conversion and secondary windowing processing on the feed source field values,the numerical stability of field value transmission from the source area to the radiation area is guaranteed.After integrating the advantages of two methods,the computational time and memory usage of this method are reduced to 1/12 and 1/15 of the full-area 3D-FDTD method,respectively,under the same accuracy.Furthermore,by combining the source area scenarios with complex terrains such as cliffs and high mountains,a systematic analysis is conducted to determine the influence of the source area's terrain undulations on the propagation characteristics of low-frequency ground waves in the radiation sea area,providing a theoretical basis for the site selection and construction of low-frequency transmitting stations.关键词
低频地波/复杂地形/三维时域有限差分(3D-FDTD)/三维抛物方程(3D-PE)/混合方法/传播时延Key words
low-frequency ground wave/complex terrain/three-dimensional finite-difference time-domain(3D-FDTD)/three-dimensional parabolic equation(3D-PE)/hybrid model/propagation delay分类
信息技术与安全科学引用本文复制引用
王丹丹,罗鑫垚,韩超,欧明,王东旭,蒲玉蓉..预测源区复杂地形下低频地波传播特性的3D-FDTD+PE混合方法[J].全球定位系统,2026,51(4):37-46,10.基金项目
国家自然科学基金面上项目(62571216) （62571216）
国家自然科学基金重点项目(U2341201) （U2341201）
国家自然科学基金青年科学基金(62201326) （62201326）
山东省青年科技人才托举工程(SDAST2025QTA008) （SDAST2025QTA008）
山东省高等学校青年创新团队项目(2025KJH090) （2025KJH090）
