摘要
为了实现对于系统级封装互连中电磁波分布的快速建模及简单高效的计算,从其分布特点出发,确定了基于时域有限差分法的仿真算法,由于吸收边界条件对于电磁波在无界或半无界空间传播的工程问题有着至关重要的作用,因此在编制相应的电磁场仿真求解器软件的原型程序时,合理地选取吸收边界条件尤为关键。以平面互连导体和电介质构成的平板传输结构中TEM波一维传播的全波仿真建模为例,以简单吸收边界条件、MUR一阶吸收边界条件和PML吸收边界条件为设计变量,以边界处磁场的变化情况为目标对各种吸收边界条件的有效性进行了验证。结果表明,添加PML吸收边界条件不仅对电磁波的传播具有良好的吸收效果,还提高了计算速度,为以后形成有自主知识产权的工程分析工具的开发提供依据。
In order to realize the fast modeling and simple and efficient calculation of the electromagnetic wave distribution in the system in package and interconnection, the simulation algorithm based on the time - domain finite difference method is determined according to its distribution characteristics. Because the absorption boundary condition plays an important role in the engineering problem of electromagnetic wave propagation in unbounded or semi - unbounded space, it is especially important to select the absorption boundary condition when preparing the prototype program of the corresponding electromagnetic field simulation solver software. In this paper, we take the full - wave simulation modeling of one - dimensional TEM wave propagation in the planar transmission structure composed of planar interconnect conductors and dielectrics as an example. Simple absorption boundary condition and the MUR first - order absorption boundary condition and the PML absorption boundary condition were designed as the design variables, and the validity of various absorption boundary conditions was verified by the change of magnetic field at the boundary. The results show that the addition of PML absorption boundary condition not only has good absorption effect on the propagation of electromagnetic wave, but also improves the calculation speed, which provides the future basis for the development of engineering analysis tools with independent intellectual property rights.
作者
胡变香
缪旻
高军
HU Bian - xiang;MIAO Min;GAO Jun(School of Information and Communication Engineering, Beijing Information Science & Technology University, Beijing 100101, China;National Key Laboratory of Science and Technology on Micro/Nano Fabrication, Peking University, Beijing 100871, China)
出处
《计算机仿真》
北大核心
2018年第6期263-268,共6页
Computer Simulation
基金
国家自然科学基金项目(61674016)
国家重点基础研究发展计划(973计划)项目(2015CB057201)
北京市属高等学校高层次人才引进与培养计划项目(长城学者培养计划)(CIT&TCD20150320)
关键词
时域有限差分法
简单边界条件
完全匹配层
三维集成电路
系统级封装
Finite difference Time domain (FDTD)
Simple absorption boundary condition
Perfectly matched layer
Three - dimensional integrated circuit
System - in - package (SIP)