Calculation of inductances and capacitances for 3D structures using Prony's method

Sven Rehfuss; Christophe Gorecki; Claudia Marschner; Dagmar Peters; Rainer Laur

doi:10.1117/12.462851

19 April 2002 Calculation of inductances and capacitances for 3D structures using Prony's method

Sven Rehfuss, Christophe Gorecki, Claudia Marschner, Dagmar Peters, Rainer Laur

Proceedings Volume 4755, Design, Test, Integration, and Packaging of MEMS/MOEMS 2002; (2002) https://doi.org/10.1117/12.462851
Event: Symposium on Design, Test, Integration, and Packaging of MEMS/MOEMS 2002, 2002, Cannes-Mandelieu, France

Abstract

A closed form expression for the electrical field of a line source over a multi-layered material can only be derived fro special geometries and cases. The use of the spectral domain, but this expression can normally not be transferred back into the space-domain. The solution is an approximation in the spectral domain by use of exponential terms which can easily be transferred back into the space-domain. This is done by use of Prony's method. The number of exponential terms has to be correctly estimated to avoid numerical difficulties. This paper presents a sophisticated method to determine the necessary number of exponential terms and shows how this approximation can be used to calculate inductances and capacitances for conductors with rectangular cross-sections.

Citation Download Citation

Sven Rehfuss, Christophe Gorecki, Claudia Marschner, Dagmar Peters, and Rainer Laur "Calculation of inductances and capacitances for 3D structures using Prony's method", Proc. SPIE 4755, Design, Test, Integration, and Packaging of MEMS/MOEMS 2002, (19 April 2002); https://doi.org/10.1117/12.462851

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