Title
A capacitance solver for incremental variation-aware extraction
Abstract
Lithographic limitations and manufacturing uncertainties are resulting in fabricated shapes on wafer that are topologically equivalent, but geometrically different from the corresponding drawn shapes. While first-order sensitivity information can measure the change in pattern parasitics when the shape variations are small, there is still a need for a high-order algorithm that can extract parasitic variations incrementally in the presence of a large number of simultaneous shape variations. This paper proposes such an algorithm based on the well-known method of floating random walk (FRW). Specifically, we formalize the notion of random path sharing between several conductors undergoing shape perturbations and use it as a basis of a fast capacitance sensitivity extraction algorithm and a fast incremental variational capacitance extraction algorithm. The efficiency of these algorithms is further improved with a novel FRW method for dealing with layered media. Our numerical examples show a 10X speed up with respect to the boundary-element method adjoint or finite-difference sensitivity extraction, and more than 560X speed up with respect to a non-incremental FRW method for a high-order variational extraction.
Year
DOI
Venue
2008
10.1109/ICCAD.2008.4681647
San Jose, CA
Keywords
Field
DocType
boundary-value problems,capacitance measurement,finite difference methods,perturbation theory,boundary-element method,capacitance,capacitance solver,extraction algorithm,finite-difference sensitivity extraction,floating random walk,high-order algorithm,incremental variation-aware extraction,layered media,lithography,pattern parasitics,random path sharing,shape perturbations
Algorithm design,Capacitance,Random walk,Computer science,Electronic engineering,Finite difference method,Boundary element method,Solver,Parasitic extraction,Speedup
Conference
ISSN
ISBN
Citations 
1092-3152 E-ISBN : 978-1-4244-2820-5
978-1-4244-2820-5
10
PageRank 
References 
Authors
1.98
11
3
Name
Order
Citations
PageRank
Tarek A. El-Moselhy1919.34
Ibrahim M. Elfadel27310.74
Luca Daniel349750.96