Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate

In this paper a simple method for analysis and modelling of transmission interconnect lines on general lossy multilayer substrates at high bit rates is presented. The analysis is based on semi-analytical Green's function approach and recurrence relation between the coefficients of potential in...

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Main Authors: H. Ymeri, B. Nauwelaers, Karen Maex
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:Active and Passive Electronic Components
Subjects:
Online Access:http://dx.doi.org/10.1155/2001/87589
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author H. Ymeri
B. Nauwelaers
Karen Maex
author_facet H. Ymeri
B. Nauwelaers
Karen Maex
author_sort H. Ymeri
collection DOAJ
description In this paper a simple method for analysis and modelling of transmission interconnect lines on general lossy multilayer substrates at high bit rates is presented. The analysis is based on semi-analytical Green's function approach and recurrence relation between the coefficients of potential in n and n + 1 layers, respectively. The electromagnetic concept of free charge density is applied. It allows us to obtain integral equations between electric scalar potential and charge density distributions. These equations are solved by the Galerkin procedure of the Method of Moments. New approach is especially adequate to model 2-D layered structures with planar boundaries for frequencies up to 20GHz (quasistationary field approach). The transmission line parameters (capacitance and conductance per unit length) for the given interconnect multilayer geometry are computed. A discussion of the calculated line admittance in terms of technological and geometrical parameters of the structure is given. A comparison of the numerical results from the new procedure with the techniques presented in the previous publications are provided, too.
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spelling doaj-art-cd5200aeefd74293bc4a44b376b4db7f2025-08-20T02:19:51ZengWileyActive and Passive Electronic Components0882-75161563-50312001-01-012428711410.1155/2001/87589Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer SubstrateH. Ymeri0B. Nauwelaers1Karen Maex2Katholieke Universiteit Leuven, Department of Electrical Engineering (ESAT), Division ESAT-TELEMIC, Kasteelpark Arenberg 10, Leuven-Heverlee B-3001, BelgiumKatholieke Universiteit Leuven, Department of Electrical Engineering (ESAT), Division ESAT-TELEMIC, Kasteelpark Arenberg 10, Leuven-Heverlee B-3001, BelgiumKatholieke Universiteit Leuven, Department of Electrical Engineering (ESAT), Division ESAT-TELEMIC, Kasteelpark Arenberg 10, Leuven-Heverlee B-3001, BelgiumIn this paper a simple method for analysis and modelling of transmission interconnect lines on general lossy multilayer substrates at high bit rates is presented. The analysis is based on semi-analytical Green's function approach and recurrence relation between the coefficients of potential in n and n + 1 layers, respectively. The electromagnetic concept of free charge density is applied. It allows us to obtain integral equations between electric scalar potential and charge density distributions. These equations are solved by the Galerkin procedure of the Method of Moments. New approach is especially adequate to model 2-D layered structures with planar boundaries for frequencies up to 20GHz (quasistationary field approach). The transmission line parameters (capacitance and conductance per unit length) for the given interconnect multilayer geometry are computed. A discussion of the calculated line admittance in terms of technological and geometrical parameters of the structure is given. A comparison of the numerical results from the new procedure with the techniques presented in the previous publications are provided, too.http://dx.doi.org/10.1155/2001/87589Interconnect transmission linesAdmittance per unit lengthGalerkin procedureLossy multilayer medium.
spellingShingle H. Ymeri
B. Nauwelaers
Karen Maex
Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate
Active and Passive Electronic Components
Interconnect transmission lines
Admittance per unit length
Galerkin procedure
Lossy multilayer medium.
title Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate
title_full Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate
title_fullStr Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate
title_full_unstemmed Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate
title_short Computation of Conductance and Capacitance for IC Interconnects on a General Lossy Multilayer Substrate
title_sort computation of conductance and capacitance for ic interconnects on a general lossy multilayer substrate
topic Interconnect transmission lines
Admittance per unit length
Galerkin procedure
Lossy multilayer medium.
url http://dx.doi.org/10.1155/2001/87589
work_keys_str_mv AT hymeri computationofconductanceandcapacitanceforicinterconnectsonagenerallossymultilayersubstrate
AT bnauwelaers computationofconductanceandcapacitanceforicinterconnectsonagenerallossymultilayersubstrate
AT karenmaex computationofconductanceandcapacitanceforicinterconnectsonagenerallossymultilayersubstrate