Accurate and stable solution of TD-MFIE using adaptive MOD method for transient scattering illuminated by an EMP

Ming-da Zhu, Xi-Lang Zhou, W. Yin
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Abstract

An accurate and stable marching-on-in-degree method (MOD) to solve time-domain magnetic field integral equations (TD-MFIE) is proposed for capturing transient responses of 3-D PEC objects illuminated by an EMP. We directly employ an exact temporal Galerkin testing with no central approximation used, and using a radial integration scheme for near-hypersingular potential integrals. This method is similar to the improvement over the earlier MOD for solving time-domain magnetic field integral equation. Transient electromagnetic responses of some typical conductive objects are obtained and compared for validating both computational accuracy and stability of our proposed TD-MFIE-MOD algorithm.
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电磁脉冲照射瞬态散射的TD-MFIE自适应模态法精确稳定求解
本文提出了一种精确稳定的随度行进求解时域磁场积分方程(TD-MFIE)的方法,用于捕获电磁脉冲照射下三维PEC物体的瞬态响应。我们直接采用了不使用中心逼近的精确时间伽辽金检验,并使用了近超奇异位积分的径向积分格式。该方法对求解时域磁场积分方程进行了改进。通过对一些典型导电物体的瞬变电磁响应进行比较,验证了TD-MFIE-MOD算法的计算精度和稳定性。
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