Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487, USA.
Opt Lett. 2011 Aug 15;36(16):3245-7. doi: 10.1364/OL.36.003245.
This Letter introduces a novel finite-difference time-domain (FDTD) formulation for solving transverse electromagnetic systems in dispersive media. Based on the auxiliary differential equation approach, the Debye dispersion model is coupled with Maxwell's equations to derive a supplementary ordinary differential equation for describing the regularity changes in electromagnetic fields at the dispersive interface. The resulting time-dependent jump conditions are rigorously enforced in the FDTD discretization by means of the matched interface and boundary scheme. High-order convergences are numerically achieved for the first time in the literature in the FDTD simulations of dispersive inhomogeneous media.
这封信介绍了一种用于求解色散介质中横电磁系统的新型时域有限差分（FDTD）公式。基于辅助微分方程方法，将 Debye 色散模型与麦克斯韦方程组耦合，推导出一个补充的常微分方程，用于描述色散界面上电磁场的规则变化。通过匹配的接口和边界方案，在 FDTD 离散化中严格执行由此产生的时变跃变条件。在文献中，首次在 FDTD 对色散非均匀介质的模拟中实现了数值的高阶收敛。
