Title :
Efficient capacitance extraction for periodic structures by Shanks transformation [IC modeling]
Author :
Liu, Ye ; Xue, Mei ; Li, Zheng-Fan ; Xue, Rui-Feng
Author_Institution :
Dept. of Electron. Eng., Shanghai Jiao Tong Univ., China
Abstract :
An integral equation method is used to compute three dimension-structure capacitance in this paper. Since some multi-conductor structures present regular periodic properties, the periodic cell is adopted to reduce the solution domain by adding appropriate magnetic and electric walls. The periodic Green´s function in the integral equation method is represented by an infinite series with slow convergence, which can be accelerated greatly by Shanks transformation. The numerical examples demonstrated that the proposed method has both high efficiency and good precision in capacitance extraction for 3D periodic structures.
Keywords :
Green´s function methods; capacitance; convergence of numerical methods; integral equations; integrated circuit interconnections; integrated circuit modelling; periodic structures; 3D structure regular periodic properties; Shanks transformation; electric walls; integral equation method; magnetic walls; multiconductor structures; periodic Green´s function; periodic cell; periodic structure capacitance extraction; slow convergence infinite series; Acceleration; Capacitance; Conductors; Convergence; Integral equations; Integrated circuit interconnections; Integrated circuit modeling; Periodic structures; Poisson equations; Power grids;
Conference_Titel :
Quality Electronic Design, 2004. Proceedings. 5th International Symposium on
Print_ISBN :
0-7695-2093-6
DOI :
10.1109/ISQED.2004.1283685
