Abstract
We review recent advances in fast algorithms for fast integral equation solvers that are useful for IC applications. We review fast solvers for Laplace's equation, which is about 10 times faster than the conventional fast multipole method. Then we review the physics of low-frequency electromagnetics, and the relevant low-frequency method of moments. We describe a fast solver that allows us to solve over one million unknowns on a workstation recently. In addition, we demonstrate the applications of these fast integral equation solvers to the lithography problem. In addition, we propose a scheme whereby we first characterize blocks of linear circuits with network S, Y, or Z parameters. Then a fast real-time convolution scheme is used to calculate the interaction of a linear circuit with nonlinear terminations such as transistors and diodes. Such a scheme requires no model-order reduction of the circuit. © 2005 IEEE.
Recommended Citation
W. C. Chew et al., "Toward A More Robust And Accurate CEM Fast Integral Equation Solver For IC Applications," IEEE Transactions on Advanced Packaging, vol. 28, no. 3, pp. 449 - 464, Institute of Electrical and Electronics Engineers, Aug 2005.
The definitive version is available at https://doi.org/10.1109/TADVP.2005.848665
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Fast real-time convolution; Integral equation; Lithography; Method of moments (MoM); Multilevel fast multipole algorithm (MLFMA)
International Standard Serial Number (ISSN)
1521-3323
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Aug 2005
Comments
Semiconductor Research Corporation, Grant FA9550-04-1-0326