电磁计算中辛时域有限差分算法研究进展  

Progress of symplectic finite-difference time-domain algorithm in electromagnetic simulations

作　　者：查晓民 谢国大 沙威 黄志祥[1] 吴先良[1] ZHA Xiaomin;XIE Guoda;SHA Wei;HUANG Zhixiang;WU Xianliang(Key Laboratory of Intelligent Computing and Signal Processing,Ministry of Education,Anhui University,Hefei 230039,China;School of Mathematics and Computer,Tongling University,Anhui 244000,China;College of Information Science and Electronic Engineering,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]安徽大学计算智能与信号处理教育部重点实验室,合肥230039 [2]安徽省铜陵学院数学与计算机学院,铜陵244000 [3]浙江大学信息与电子工程学院,杭州310027

出　　处：《电波科学学报》2020年第1期43-54,共12页Chinese Journal of Radio Science

基　　金：国家优秀青年科学基金(61722101);国家自然科学基金(61871001,61471001)。

摘　　要：辛时域有限差分(symplectic finite-difference time-domain,SFDTD)算法作为一种高精度、高稳定、高保真度的时域数值算法,在多个学科领域得到了广泛的应用,并已发展成为一种较为成熟的数值计算方法.本文主要对SFDTD算法的构建、数值优化以及相关关键技术处理进行了介绍.重点总结了基于时间和空间上的差分近似优化处理方法,处理不连续边界及金属曲面时的局部修正方法,以及时域电磁仿真中不可或缺的三大关键技术:总场/散射场技术、完全匹配层(perfect matched layer,PML)、近远场变换技术.最后,介绍了SFDTD算法在电磁仿真、量子力学求解、多物理问题建模与分析中的具体应用.As a high-precision, high-stability and high-fidelity time-domain numerical algorithm, the symplectic finite-difference time-domain(SFDTD) method has been widely used in many disciplines as a mature numerical calculation method. The paper mainly introduces the construction of SFDTD algorithm, numerical optimization and related key technical processing. Focusing on the optimization methods of the difference approximations both in spatial and temporal direction, local correction methods for discontinuous boundary and curved metallic surface, and three key techniques that are indispensable in time domain electromagnetic simulation, namely total fields/scattering fields(TF/SF) technique, perfect matched layer(PML) and near-far transform technique. At last, the applications of SFDTD method in electromagnetic simulation, quantum mechanical solution and multi-physic problems modeling and analysis are also introduced.

关 键 词：辛时域有限差分(SFDTD)算法 数值优化 电磁仿真 量子力学 

分 类 号：O441[理学—电磁学]