We propose an explicit iterative leap-frog discontinuous Galerkin method for time-domain Maxwell’s equations in anisotropic materials and derive its convergence properties. The a priori error estimates are illustrated by numerical means in some experiments. Motivated by a real application which encompasses modeling electromagnetic wave’s propagation through the eye’s structures, we simulate our model in a 2D domain aiming to represent a simple example of light scattering in the outer nuclear layer of the retina.

中文翻译：

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各向异性材料中时域麦克斯韦方程组的显式迭代跳跃不连续伽勒金方法的收敛性

针对各向异性材料中的时域麦克斯韦方程组，我们提出了一种显式的迭代蛙跳不连续伽勒金方法，并推导了其收敛性。在某些实验中，先验误差估计是通过数值方法说明的。受包含建模电磁波在眼睛结构中传播的实际应用程序的激励，我们在2D域中对我们的模型进行仿真，旨在表示视网膜外核层中光散射的简单示例。