非均匀地表上的电磁脉冲传播：数值模拟
Electromagnetic Pulse Propagation over Nonuniform Earth Surface: Numerical Simulation
AI总结：
采用时域抛物方程模拟非均匀地表上的电磁脉冲传播，通过引入阻抗边界条件和透明非局部边界条件进行有限差分求解，并发展了一种基于载波频率射线结构的渐近方法以降低计算成本。
摘要：
我们使用所谓的时域抛物方程模拟沿非均匀地表的电磁脉冲传播。为了通过有限差分求解，我们引入了阻抗边界条件的时域模拟以及一个非局部透明边界条件，将开放计算域缩减为有限宽度的条带。数值示例展示了土壤电导率对宽带脉冲波形的影响。对于高频调制的电磁脉冲，我们发展了一种基于载波频率单色波场射线结构的渐近方法。这极大地降低了计算成本，并允许在数万波长的广阔区域内计算脉冲波场。
英文摘要：
We simulate EM pulse propagation along the nonuniform earth surface using so called time-domain parabolic equation. To solve it by finite differences, we introduce a time-domain analog of the impedance boundary condition and a nonlocal BC of transparency reducing open computational domain to a strip of finite width. Numerical examples demonstrate influence of soil conductivity on the wide-band pulse waveform. For a high-frequency modulated EM pulse, we develop an asymptotic approach based on the ray structure of the monochromatic wave field at carrier frequency. This radically diminishes the computation costs and allows for pulsed wave field calculation in vast domains measured by tens of thousands wavelengths.
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