1. Hurdsman, D. E., P. M. Hansen, and J. W. Rockway, "LF and VLF antenna modeling," IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450), Vol. 4, 811-814, Columbus, OH, USA, 2003.
doi:10.1109/aps.2003.1220396
2. King, Ronold W. P., "On the radiation efficiency and the electromagnetic field of a vertical electric dipole in the air above a dielectric or conducting half-space," Progress In Electromagnetics Research, Vol. 4, 1-43, 1991.
doi:10.2528/pier90042300 Google Scholar
3. Riddolls, R. J., "Near-field response in lossy media with exponential conductivity inhomogeneity," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 11, 1551-1558, 2006.
doi:10.1163/156939306779274354 Google Scholar
4. Poljak, Dragan and Vicko Doric, "Wire antenna model for transient analysis of simple grounding systems, Part I: The vertical grounding electrode," Progress In Electromagnetics Research, Vol. 64, 149-166, 2006.
doi:10.2528/pier06062101 Google Scholar
5. Poljak, Dragan and Vicko Doric, "Wire antenna model for transient analysis of simple grounding systems, Part II: The horizontal grounding electrode," Progress In Electromagnetics Research, Vol. 64, 167-189, 2006.
doi:10.2528/pier06062102 Google Scholar
6. Zhang, D. K., D. C. Yang, and Z. L. He, "Design method for ultra-long wave transmitting antennas," Journal of Shipborne Radio, Vol. 2, 1-15, 1980. Google Scholar
7. Watt, A. D., VLF Radio Engineering, 51-68, Pergamon Press, 1967.
8. Liu, C., Y. J. Liang, Q. Z. Liu, and Y. Fu, "Analysis and calculation of ground loss resistance for a VLF T-type antenna array with the ground screen," Journal of Xidian University, Vol. 35, No. 6, 1026-1030, 2008.
doi:10.3969/j.issn.1001-2400.2008.06.014 Google Scholar
9. Liu, Chao, Qi-Zhong Liu, Long Gen Zheng, and Wei Yu, "Numeric calculation of input impedance for a giant VLF T-type antenna array," Progress In Electromagnetics Research, Vol. 75, 1-10, 2007.
doi:10.2528/pier07051701 Google Scholar
10. Ren, Bo-Yu, Xian-Qiang Li, Yuan-Cheng Qin, Hao Du, Liang-Chang Fei, and Rui Huang, "Novel numerical analysis of electric fields in the near field of very-low-frequency antennas based on the charge simulation method," IET Microwaves, Antennas & Propagation, Vol. 18, No. 8, 618-628, 2024.
doi:10.1049/mia2.12488 Google Scholar
11. Xie, Hui, Xiangyu Xu, Huaning Wu, and Ning Wang, "Multiobjective particle swarm optimization to design the top load of a very low frequency thirteen-tower umbrella antenna," International Journal of RF and Microwave Computer-Aided Engineering, Vol. 2023, 1792918, 2023.
doi:10.1155/2023/1792918 Google Scholar
12. Xu, Xiangyu, Hui Xie, Zhiqing Luo, and Lu Wan, "Analysis of the electrical performance of multituned VLF thirteen-tower umbrella antennas," International Journal of Antennas and Propagation, Vol. 2022, 8590468, 2022.
doi:10.1155/2022/8590468 Google Scholar
13. Quan, Ying, Hui Xie, Cheng Yang, Hang Yu, and Xinmiao Liu, "Effects of introducing confluence rings on ground loss resistance of VLF umbrella-type antenna," Electronics, Vol. 11, No. 20, 3419, October 2022.
doi:10.3390/electronics11203419 Google Scholar