论文标题
二维麦克斯韦方程的增强有限差时间域方法
An enhanced finite difference time domain method for two dimensional Maxwell's equations
论文作者
论文摘要
构建了一种有效的有限差分时间域（FDTD）算法，以用不均匀的介电介质求解横向电动2D麦克斯韦方程，在该介质界面上电场不连续。新算法是根据Maxwell方程的积分版本以及界面上电场之间的关系得出的。通过在公式中包含一些额外的术语，这是对轮廓路径有效 - 透明度算法的改进。该方案在用MIE理论的精确溶液求解介电缸的散射方面得到了验证，然后将其与上述轮廓路径方法，通常的楼梯和体积平均方法进行了比较。数值结果表明，与其他方法相比，新算法的准确性显着提高。此外，该算法具有简单的结构，并且可以很容易地合并到任何现有的FDTD软件包中。
An efficient finite-difference time-domain (FDTD) algorithm is built to solve the transverse electric 2D Maxwell's equations with inhomogeneous dielectric media where the electric fields are discontinuous across the dielectric interface. The new algorithm is derived based upon the integral version of the Maxwell's equations as well as the relationship between the electric fields across the interface. It is an improvement over the contour-path effective-permittivity algorithm by including some extra terms in the formulas. The scheme is validated in solving the scattering of a dielectric cylinder with exact solution from Mie theory and is then compared with the above contour-path method, the usual staircase and the volume-average method. The numerical results demonstrate that the new algorithm has achieved significant improvement in accuracy over the other methods. Furthermore, the algorithm has a simple structure and can be merged into any existing FDTD software package very easily.
