Abstract
In this paper, a new modeling approach appropriate for the substrate modeling is proposed. More generally, this technique can be applied for any homogeneous layer for which an exponential decay of the field variation can be assumed. The main idea is to perform a hierarchical modeling based on an exponential partitioning scheme conducing to a circuit model of linear complexity which is extracted with a low computational effort. The model obtained is further coupled with the models of the other parts in which the integrated circuit is decomposed or its sparse matrix is used as a boundary condition for field in SiO2 domain.
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Acknowledgements
The support of the projects: FP6/Chameleon-RF, FP5/Codestar, UEFISCSU/IDEI 609/2009 is gratefully acknowledged. This work has been co-funded as well by the Sectoral Operational Programme Human Resources Development 2007–2013 of the Romanian Ministry of Labour, Family and Social Protection through the Financial Agreement POSDRU/89/1.5/S/62557.
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Ioan, D., Ciuprina, G., Lazăr, IA. (2012). Substrate Modeling Based on Hierarchical Sparse Circuits. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_16
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DOI: https://doi.org/10.1007/978-3-642-22453-9_16
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