On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks
On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks
复制标题
麦克斯韦方程组的时域NRBC及其在电磁隐身衣精确模拟中的应用
DOI：
10.1007/s10915-020-01354-2
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发表时间：
2021
影响因子：
2.5
通讯作者：
Jiang Shidong
中科院分区：
文献类型：
--
作者：
Wang Bo;Yang Zhiguo;Wang Li-Lian;Jiang Shidong
本文给出了电磁散射问题时域无反射边界条件（NRBC）中时间卷积核函数的解析表达式。这种精确的公式本身导致准确和有效的算法计算NRBC的时域麦克斯韦系统的域减少。本文的第二个目的是推导一个新的电磁隐身衣的时域模型。与现有的模型不同，它只包含一个未知场，并且可以像NRBC中的时间卷积一样有效地计算看似复杂的卷积。隐身层中的控制方程对一般几何形状是有效的，例如，球形或多边形层。在这里，我们的目标是模拟球形隐身斗篷。我们利用径向分层色散介质和特殊几何的优势，发展了一种有效的矢量球谐谱元方法，以精确模拟其特性。与有限的FDTD仿真结果相比，该方法在精度和计算量上都是最优的。实际上，计算时间的节省是显著的。
In this paper, we present analytic formulas of the temporal convolution kernel functions involved in the time-domain non-reflecting boundary condition (NRBC) for the electromagnetic scattering problems. Such exact formulas themselves lead to accurate and efficient algorithms for computing the NRBC for domain reduction of the time-domain Maxwell’s system in. A second purpose of this paper is to derive a new time-domain model for the electromagnetic invisibility cloak. Different from the existing models, it contains only one unknown field and the seemingly complicated convolutions can be computed as efficiently as the temporal convolutions in the NRBC. The governing equation in the cloaking layer is valid for general geometry, e.g., a spherical or polygonal layer. Here, we aim at simulating the spherical invisibility cloak. We take the advantage of radially stratified dispersive media and special geometry, and develop an efficient vector spherical harmonic-spectral-element method for its accurate simulation. Compared with limited results on FDTD simulation, the proposed method is optimal in both accuracy and computational cost. Indeed, the saving in computational time is significant.