Title
Layout decomposition co-optimization for hybrid e-beam and multiple patterning lithography
Abstract
As the feature size keeps scaling down and the circuit complexity increases rapidly, a more advanced hybrid lithography, which combines multiple patterning and e-beam lithography (EBL), is promising to further enhance the pattern resolution. In this paper, we formulate the layout decomposition problem for this hybrid lithography as a minimum vertex deletion K-partition problem, where K is the number of masks in multiple patterning. Stitch minimization and EBL throughput are considered uniformly by adding a virtual vertex between two feature vertices for each stitch candidate during the conflict graph construction phase. For K = 2, we propose a primal-dual method for solving the underlying minimum odd-cycle cover problem efficiently. In addition, a chain decomposition algorithm is employed for removing all “non-cyclable” edges. For K > 2, we propose a random-initialized local search method that iteratively applies the primal-dual solver. Experimental results show that compared with a two-stage method, our proposed methods reduce the EBL usage by 64.4% with double patterning and 38.7% with triple patterning on average for the benchmarks.
Year
Venue
Keywords
2015
IEEE Trans. on CAD of Integrated Circuits and Systems
optimisation,layout decomposition cooptimization,multiple patterning lithography,ebl,stitch minimization,vertex deletion k-partition problem,chain decomposition algorithm,electron beam lithography,pattern resolution,hybrid lithography,hybrid e-beam lithography,random-initialized local search method
DocType
Volume
Issue
Conference
35
9
ISSN
Citations 
PageRank 
2153-6961
1
0.35
References 
Authors
21
6
Name
Order
Citations
PageRank
Yunfeng Yang141.14
Wai-Shing Luk218715.13
Hai Zhou343742.37
Changhao Yan46811.28
Xuan Zeng540875.96
Dian Zhou626056.14