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The Huygens subgridding for the numerical solution of the Maxwell equations

机译:麦克斯韦方程组数值解的惠更斯子网格

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摘要

The Huygens subgridding (HSG) is a subgridding technique developed for the numerical solution of the Maxwell equations. It relies on the theoretical equivalence of any physical volume with two or more fictitious volumes connected by equivalent currents. The application of this concept to the finite-difference time-domain (FDTD) method has been previously published in the one dimensional and two dimensional cases. In this paper the HSG is extended to the general three dimensional case, the exchange of the electromagnetic energy between the two FDTD grids is investigated theoretically, and some modifications to the HSG algorithm are presented with the objective of simplifying its implementation.
机译:惠更斯子网格(HSG)是为麦克斯韦方程组的数值解而开发的子网格技术。它依赖于任何具有等效电流连接的两个或多个虚拟体积的物理体积的理论等效性。此概念在有限差分时域(FDTD)方法中的应用先前已在一维和二维情况下公开。本文将HSG扩展到一般的三维情况,从理论上研究了两个FDTD网格之间的电磁能交换,并提出了一些对HSG算法的修改,以简化其实现。

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