一种提取多层介质多导体互连电磁参数的快速算法：有限差分－不变性测试方程法  

A Fast Algorithm for the Parameter Extraction of Multilayered Multiconductor lnterconnections:Finite Difference-Measured Equation of lnvariance Method

作　　者：洪伟[1] 朱震海[1] 

机构地区：[1]东南大学毫米波国家重点实验室,美国加州大学圣克鲁斯分校计算机科学与工程系

出　　处：《电子学报》1997年第9期37-42,共6页Acta Electronica Sinica

摘　　要：本文首次利用ＭＥＩ方法计算了多层介质多导体互连的电容和电感矩阵．由于引入了测试环的概念，避免了多层结构的格林函数的推导和Ｓｏｍｍｅｒｆｅｌｄ积分的计算，同时也去掉了传统ＭＥＩ方法中ＭＥＩ系数与几何形状有关的假设．计算结果表明：本文提出的算法正确，与常见的算法如矩量法，边界元法和有限元法等方法相比，计算速度大大加快，并且对结构的适应性强，可以分析截面为任意形状且导体有耗的互连，因此该方法是一种提取电磁参数的快速算法．在计算得到的电容和电感矩阵的基础上，本文还利用双重波形收敛法计算了端接非线性负载的多导体互连各端口的瞬态响应．In this paper,the Measured Equation of Invariance (MEI) method is used to calculate the capacitance and inductance matrices of the multilayered multiconductor interconnectionsfor the first time. Because of the introduction of the measuring loop,the deduction of Green's function in multilayered multicopductor structure and the calculation of Sommerfeld type integrals areavoided. At the same time,the postulate of geometry specific in the conventional MEI method iscanceled. Numerical results show that the new algorithm in this paper is correct and faster than thecommon methods such as MoM,BEM,FEM,etc. It is also a very nexible method and can be usedto analyze the interconnections with arbitrary shape and lossy conductors. Therefore it is an idealmethod for the parameter extraction. Based upon the capacitance and inductance matrices,we havealso calculated the transient response of an interconnection terminated in nonlinear loads.

关 键 词：互连 快速算法 不变性测试方程 多导体传输线 

分 类 号：TN811.02[电子电信—信息与通信工程]