Title :
Adaptive difference method and singular treatment approach for fast parameters extraction of interconnects in MEI system
Author :
Zhang, Ying ; Wang, Janet M. ; Xiao, Liang ; Wu, Huizhong
Author_Institution :
Dept. of Comput. Sci. & Technol., Nanjing Univ. of Sci. & Technol., China
Abstract :
At present accurate evaluation of the capacitances of transmission lines is desired. Most TEM mode transmission lines have cross-sections with reentrant corners where the potential gradient is singular. In this paper MEI is used with nonuniform grids to extract the capacitance parameter in the presence of reentrant corners. The mathematical model of electric field near the reentrant is given and its analytical solution formation is derived. Finite series expansion is used to approximate the analytical solution, and a novel method is proposed to calculate the charge of conductor. Compared with Duncan correction the technique avoids the choice of the integral length of normal derivative near the reentrant and it can be used with nonuniform grids more conveniently. The error analysis of asymptotic approximation of finite series expansion is also given. Numerical experiments are presented for analysis.
Keywords :
capacitance; electric fields; error analysis; integrated circuit interconnections; parameter estimation; series (mathematics); MEI; MEI system; TEM mode transmission lines; adaptive difference method; asymptotic approximation; capacitances; electric field; error analysis; fast parameter extraction; finite series expansion; interconnects; nonuniform grids; potential gradient; reentrant corners; singular treatment approach; Boundary conditions; Capacitance; Computer science; Conductors; Differential equations; Educational institutions; Integral equations; Integrated circuit interconnections; Parameter extraction; Transmission lines;
Conference_Titel :
Communications, Circuits and Systems, 2005. Proceedings. 2005 International Conference on
Print_ISBN :
0-7803-9015-6
DOI :
10.1109/ICCCAS.2005.1495322
