Solving metamaterial Maxwell's equations via a vector wave integro-differential equation
Solving metamaterial Maxwell's equations via a vector wave integro-differential equation
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DOI：
10.1016/j.camwa.2012.03.035
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发表时间：
2012-06
期刊：
影响因子：
--
通讯作者：
Yunqing Huang;Jichun Li;Wei Yang
中科院分区：
文献类型：
--
作者：
Yunqing Huang;Jichun Li;Wei Yang
在本文中，我们讨论了时域的超材料麦克斯韦方程。本文的一个主要贡献是，经过一定的努力，我们发现超材料麦克斯韦方程可以漂亮地简化为一个只包含一个未知量的矢量波积分微分方程，这与真空中标准麦克斯韦方程得到的结果非常相似。然后研究了新模型方程的存在唯一性，并提出了求解该模型的全离散有限元方法。数值结果证明我们的分析。这一发现将使超材料的模拟比以前的工作更有效。
In this paper, we discuss the time-domain metamaterial Maxwell’s equations. One major contribution of this paper is that after some effort we find that the metamaterial Maxwell’s equations can be beautifully reduced to a vector wave integro-differential equation involving just one unknown, which is quite similar to that obtained from the standard Maxwell’s equations in vacuum. Then we study the existence and uniqueness of this new modeling equations, and propose a fully-discrete finite element method to solve this model. Numerical results justifying our analysis are presented. This discovery shall make simulation of metamaterials much more efficient than the previous works.