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An efficient high order plane wave time domain algorithm for transient electromagnetic scattering analysis

机译：用于瞬变电磁散射分析的高效高阶平面波时域算法

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摘要

An efficient high order plane wave time domain algorithm is presented for analyzing the transient scattering from three dimensional electrically large conducting objects. This method uses a set of hierarchical divergence-conforming vector basis functions to accurately represent the current distribution on the perfect electrically conducting (PEC) surface. The higher order functions can significantly reduce the number of unknowns without compromise on the accuracy. The time domain combined field integral equation (TD-CFIE) is then discretized using the hierarchical divergence-conforming vector basis functions and shifted Lagrange polynomial functions in spatial and time domain, respectively. The final matrix equation can be accelerated using the plane wave time domain (PWTD) algorithm. Finally, a parallel algorithm that can execute on a distributed-memory parallel cluster is developed, which provides an appealing avenue for analyzing the transient scattering from three-dimensional electrically large complex PEC objects. Numerical examples are given to demonstrate the accuracy and efficiency of the method.
机译：提出了一种高效的高阶平面波时域算法，用于分析三维电大导体物体的瞬态散射。此方法使用一组分层的符合发散性的矢量基函数来准确表示理想导电（PEC）表面上的电流分布。高阶函数可以显着减少未知数，而不会影响精度。然后分别使用在空间和时域上的分层发散一致性矢量基函数和移位拉格朗日多项式函数离散化时域组合场积分方程（TD-CFIE）。可以使用平面波时域（PWTD）算法来加速最终的矩阵方程。最后，开发了一种可在分布式内存并行集群上执行的并行算法，该算法为分析三维电大复杂PEC对象的瞬态散射提供了诱人的途径。数值算例表明了该方法的准确性和有效性。

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