A Novel Piecewise Linear Recursive Convolution Approach for Dispersive Media Using the Finite-Difference Time-Domain Method
A Novel Piecewise Linear Recursive Convolution Approach for Dispersive Media Using the Finite-Difference Time-Domain Method
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DOI：
10.1109/tap.2014.2308549
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发表时间：
2014-02
影响因子：
5.7
通讯作者：
I. Giannakis;A. Giannopoulos
中科院分区：
文献类型：
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作者：
I. Giannakis;A. Giannopoulos
提出了两种在时域有限差分法（FDTD）中递归实现电场与随时间变化的极化率函数卷积的新方法。这两种算法都是直接实现和采用包容性的磁化率函数，作为特殊情况下的洛伦兹，德拜，和Drude媒体松弛。与现有的标准分段线性递归卷积（PLRC）方法相比，新算法的精度得到了系统的提高，其原因在于新算法没有对每个时间间隔内极化密度的时间变化做任何假设;不使用有限差分或半隐式方案来计算偏振密度。这两种新方法所做的唯一假设是，电场的一阶时间导数在每个FDTD时间间隔内是恒定的。
Two novel methods for implementing recursively the convolution between the electric field and a time dependent electric susceptibility function in the finite-difference time domain (FDTD) method are presented. Both resulting algorithms are straightforward to implement and employ an inclusive susceptibility function which holds as special cases the Lorentz, Debye, and Drude media relaxations. The accuracy of the new proposed algorithms is found to be systematically improved when compared to existing standard piecewise linear recursive convolution (PLRC) approaches, it is conjectured that the reason for this improvement is that the new proposed algorithms do not make any assumptions about the time variation of the polarization density in each time interval; no finite difference or semi-implicit schemes are used for the calculation of the polarization density. The only assumption that these two new methods make is that the first time derivative of the electric field is constant within each FDTD time interval.