电离层-空气-海水介质中水下VLF电磁波传播的HIE-FDTD方法

HIE-FDTD method for underwater VLF electromagnetic wave propagation in ionosphere-air-seawater media

  • 摘要: 水下甚低频(very low frequency, VLF)电磁波在电离层-空气-海水介质中的传播研究对跨空海界面通信意义重大. 针对精细分层结构,传统时域有限差分(finite-difference time-domain, FDTD)方法受最小网格限制,时间步长难以提升. 本文提出采用混合隐式-显式时域有限差分(hybrid implicit-explicit finite-difference time-domain method, HIE-FDTD)方法预测水下VLF电磁波在电离层-空气-海水介质中的传播特性. 推导了柱坐标系下完全匹配层(perfectly matched layer, PML)吸收边界中色散介质的HIE-FDTD迭代公式,构建了电离层-空气-海水三层介质中的水下VLF源辐射电磁波传播模型,揭示电离层变化对水下及水上传播的影响. 结果表明,HIE-FDTD方法与传统FDTD方法精度相当,效率大幅提升;水下VLF源辐射电磁波在水下传播衰减剧烈且几乎不受电离层影响,水上空气中的传播则受电离层显著调制. 白天电离层D层强吸收导致信号衰减加剧,夜间D层消失则显著改善传播条件,昼夜过渡中电离层参数渐变导致传播模式耦合转换,引起场强振荡及非均匀衰减.

     

    Abstract: The study of underwater very low frequency (VLF) electromagnetic wave propagation in ionosphere-air-seawater media is of great significance for cross-air-sea interface communication. For the fine-layered structure, the conventional finite-difference time-domain (FDTD) method was limited by the minimum grid size, making it difficult to increase the time step. In this paper, the hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method was proposed to predict the propagation characteristics of underwater VLF electromagnetic waves in ionosphere-air-seawater media. Iteration formulas of the HIE-FDTD method for dispersive media in the perfectly matched layer (PML) absorbing boundary were derived in cylindrical coordinates. A propagation model for electromagnetic waves radiated from an underwater VLF source in the three-layer ionosphere-air-seawater medium was constructed. The influence of ionospheric variations on underwater and above-water propagation was revealed. The results show that the HIE-FDTD method achieves comparable accuracy to the conventional FDTD method, with significantly improved efficiency. Underwater VLF waves radiated from a source attenuate severely and are almost unaffected by the ionosphere, while their propagation in the above-water air is significantly modulated by the ionosphere. Strong absorption by the daytime ionospheric D-layer leads to increased signal attenuation, whereas the disappearance of the D-layer at night significantly improves propagation conditions. During the day-night transition, gradual changes in ionospheric parameters cause mode coupling and conversion, resulting in significant oscillations and non-uniform attenuation of the field strength distribution.

     

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