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Fast analysis of transient electromagnetic scattering phenomena using the multilevel plane wave time domain algorithm

机译:使用多级平面波时域算法快速分析瞬态电磁散射现象

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摘要

The computational complexity of classical marching-on-in-time (MOT) methods for solving time domain integral equations (TDIEs) pertinent to the analysis of transient scattering phenomena involving perfectly conducting targets grows as O(N/sub t/N/sub s//sup 2/) (N/sub t/ and N/sub s/ denote the number of temporal and spatial degrees of freedom (DOF) of the electric current on the target). This scaling law impedes the application of these schemes to the analysis of large-scale scattering phenomena. The recently developed plane wave time domain (PWTD) algorithm permits the rapid evaluation of transient wave fields generated by temporally bandlimited sources and hence the acceleration of marching on in time based TDIE solvers. Previously, we described a two-level PWTD enhanced TDIE solver for analyzing electromagnetic scattering from perfectly conducting targets; the computational complexity of this algorithm scales as O(N/sub t/N/sub s//sup 1.5/logN/sub s/). Here, a multilevel PWTD scheme for rapidly evaluating electric fields due to temporally bandlimited electric current sources is described. In addition, a multilevel PWTD enhanced TDIE solver for analyzing electromagnetic scattering from perfectly conducting scatterers using O(N/sub t/N/sub s/log/sup 2/N/sub s/) CPU resources is outlined. Last, the accuracy and CPU/memory efficiency of this solver are demonstrated by analyzing transient scattering from electrically large bodies.
机译:随着涉及O(N / sub t / N / sub s)的问题的发展,用于分析涉及完美传导目标的瞬态散射现象的时域积分方程(TDIE)的经典按时行进(MOT)方法的计算复杂度不断提高// sup 2 /)(N / sub t /和N / sub s /表示目标上电流的时间和空间自由度(DOF)数)。这种缩放定律阻碍了这些方案在大规模散射现象分析中的应用。最近开发的平面波时域(PWTD)算法允许快速评估由时间带限源产生的瞬态波场,从而加快基于时间的TDIE求解器的行进速度。先前,我们描述了一种两级PWTD增强型TDIE求解器,用于分析来自完美导电目标的电磁散射;该算法的计算复杂度为O(N / sub t / N / sub s // sup 1.5 / logN / sub s /)。这里,描述了用于快速评估由于时间带限的电流源而引起的电场的多级PWTD方案。此外,概述了使用O(N / sub t / N / sub s / log / sup 2 / N / sub s /)CPU资源分析来自完美传导散射体的电磁散射的多级PWTD增强TDIE求解器。最后,通过分析电大物体的瞬态散射,证明了该求解器的精度和CPU /内存效率。

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