School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798.
Opt Lett. 2011 Apr 15;36(8):1494-6. doi: 10.1364/OL.36.001494.
In this Letter, we present an efficient complex-envelope alternating-direction-implicit finite-difference time-domain (CE-ADI-FDTD) method for the transient analysis of magnetic photonic crystals with lossy ferrites. The proposed CE-ADI-FDTD method is generally formulated for a saturated ferrite with anisotropic permittivity tensor and ferrite loss. Auxiliary differential equations for modeling saturated ferrite and Maxwell's curl equations are first cast into a first-order differential system in a CE form. Then, by using an efficient ADI splitting formulas, the proposed CE-ADI-FDTD method is attained in a very concise form with few and simple right-hand side terms. The performance of the proposed method is validated and compared with the explicit FDTD method.
在这封信中，我们提出了一种用于具有损耗铁氧体的磁性光子晶体的瞬态分析的高效复包络交替方向隐式有限差分时域（CE-ADI-FDTD）方法。所提出的 CE-ADI-FDTD 方法通常针对具有各向异性介电张量和铁氧体损耗的饱和铁氧体进行公式化。首先，将用于模拟饱和铁氧体和麦克斯韦旋度方程的辅助微分方程转化为 CE 形式的一阶微分系统。然后，通过使用高效的 ADI 分裂公式，以非常简洁的形式得到所提出的 CE-ADI-FDTD 方法，其右侧项数量少且简单。验证了所提出方法的性能，并将其与显式 FDTD 方法进行了比较。
