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Layout Decomposition for Quadruple Patterning Lithography and Beyond

Published: 01 June 2014 Publication History

Abstract

For next-generation technology nodes, multiple patterning lithography (MPL) has emerged as a key solution, e.g., triple patterning lithography (TPL) for 14/11nm, and quadruple patterning lithography (QPL) for sub-10nm. In this paper, we propose a generic and robust layout decomposition framework for QPL, which can be further extended to handle any general K-patterning lithography (K>4). Our framework is based on the semidefinite programming (SDP) formulation with novel coloring encoding. Meanwhile, we propose fast yet effective coloring assignment and achieve significant speedup. To our best knowledge, this is the first work on the general multiple patterning lithography layout decomposition.

References

[1]
D. Z. Pan, B. Yu, and J.-R. Gao, "Design for manufacturing with emerging nanolithography," IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems (TCAD), vol. 32, no. 10, pp. 1453--1472, 2013.
[2]
B. Yu, J.-R. Gao, D. Ding, Y. Ban, J.-S. Yang, K. Yuan, M. Cho, and D. Z. Pan, "Dealing with IC manufacturability in extreme scaling," in Proc. ICCAD, 2012, pp. 240--242.
[3]
A. B. Kahng, C.-H. Park, X. Xu, and H. Yao, "Layout decomposition for double patterning lithography," in Proc. ICCAD, 2008, pp. 465--472.
[4]
B. Yu, K. Yuan, B. Zhang, D. Ding, and D. Z. Pan, "Layout decomposition for triple patterning lithography," in Proc. ICCAD, 2011, pp. 1--8.
[5]
K. Yuan, J.-S. Yang, and D. Z. Pan, "Double patterning layout decomposition for simultaneous conflict and stitch minimization," in Proc. ISPD, 2009, pp. 107--114.
[6]
Y. Xu and C. Chu, "A matching based decomposer for double patterning lithography," in Proc. ISPD, 2010, pp. 121--126.
[7]
X. Tang and M. Cho, "Optimal layout decomposition for double patterning technology," in Proc. ICCAD, 2011, pp. 9--13.
[8]
S.-Y. Fang, W.-Y. Chen, and Y.-W. Chang, "A novel layout decomposition algorithm for triple patterning lithography," in Proc. DAC, 2012, pp. 1185--1190.
[9]
J. Kuang and E. F. Young, "An efficient layout decomposition approach for triple patterning lithography," in Proc. DAC, 2013, pp. 69:1--69:6.
[10]
B. Yu, Y.-H. Lin, G. Luk-Pat, D. Ding, K. Lucas, and D. Z. Pan, "A high-performance triple patterning layout decomposer with balanced density," in Proc. ICCAD, 2013, pp. 163--169.
[11]
Y. Zhang, W.-S. Luk, H. Zhou, C. Yan, and X. Zeng, "Layout decomposition with pairwise coloring for multiple patterning lithography," in Proc. ICCAD, 2013, pp. 170--177.
[12]
B. Yu, J.-R. Gao, and D. Z. Pan, "Triple patterning lithography (TPL) layout decomposition using end-cutting," in Proc. of SPIE, vol. 8684, 2013.
[13]
H. Tian, H. Zhang, Q. Ma, Z. Xiao, and M. Wong, "A polynomial time triple patterning algorithm for cell based row-structure layout," in Proc. ICCAD, 2012, pp. 57--64.
[14]
B. Yu, X. Xu, J.-R. Gao, and D. Z. Pan, "Methodology for standard cell compliance and detailed placement for triple patterning lithography," in Proc. ICCAD, 2013, pp. 349--356.
[15]
H. Tian, Y. Du, H. Zhang, Z. Xiao, and M. Wong, "Constrained pattern assignment for standard cell based triple patterning lithography," in Proc. ICCAD, 2013, pp. 57--64.
[16]
D. Karger, R. Motwani, and M. Sudan, "Approximate graph coloring by semidefinite programming," J. ACM, vol. 45, pp. 246--265, March 1998.
[17]
K. Appel and W. Haken, "Every planar map is four colorable. part i: Discharging," Illinois Journal of Mathematics, vol. 21, no. 3, pp. 429--490, 1977.
[18]
C. Kuratowski, "Sur le probleme des courbes gauches en topologie," Fundamenta mathematicae, vol. 15, no. 1, pp. 271--283, 1930.
[19]
N. Robertson, D. P. Sanders, P. Seymour, and R. Thomas, "Efficiently four-coloring planar graphs," in ACM Symposium on Theory of computing, 1996, pp. 571--575.
[20]
R. E. Gomory and T. C. Hu, "Multi-terminal network flows," Journal of the Society for Industrial & Applied Mathematics, vol. 9, no. 4, pp. 551--570, 1961.
[21]
D. Gusfield, "Very simple methods for all pairs network flow analysis," SIAM Journal on Computing, vol. 19, no. 1, pp. 143--155, 1990.
[22]
E. A. Dinic, "Algorithm for solution of a problem of maximum flow in networks with power estimation," in Soviet Math. Dokl, vol. 11, no. 5, 1970, pp. 1277--1280.
[23]
"GUROBI," http://www.gurobi.com/html/academic.html.
[24]
B. Borchers, "CSDP, a C library for semidefinite programming," Optimization Methods and Software, vol. 11, pp. 613--623, 1999.

Cited By

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  • (2022)Deep Learning-Driven Simultaneous Layout Decomposition and Mask OptimizationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2021.306149441:3(709-722)Online publication date: Mar-2022
  • (2020)Deep Learning-Driven Simultaneous Layout Decomposition and Mask Optimization2020 57th ACM/IEEE Design Automation Conference (DAC)10.1109/DAC18072.2020.9218530(1-6)Online publication date: Jul-2020
  • (2019)Multiple Patterning Layout Compliance with Minimizing Topology Disturbance and Polygon DisplacementProceedings of the 2019 International Symposium on Physical Design10.1145/3299902.3309755(93-100)Online publication date: 4-Apr-2019
  • Show More Cited By

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  1. Layout Decomposition for Quadruple Patterning Lithography and Beyond

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    DAC '14: Proceedings of the 51st Annual Design Automation Conference
    June 2014
    1249 pages
    ISBN:9781450327305
    DOI:10.1145/2593069
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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    Publication History

    Published: 01 June 2014

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    Author Tags

    1. Layout Decomposition
    2. Multiple Patterning Lithography

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    Cited By

    View all
    • (2022)Deep Learning-Driven Simultaneous Layout Decomposition and Mask OptimizationIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2021.306149441:3(709-722)Online publication date: Mar-2022
    • (2020)Deep Learning-Driven Simultaneous Layout Decomposition and Mask Optimization2020 57th ACM/IEEE Design Automation Conference (DAC)10.1109/DAC18072.2020.9218530(1-6)Online publication date: Jul-2020
    • (2019)Multiple Patterning Layout Compliance with Minimizing Topology Disturbance and Polygon DisplacementProceedings of the 2019 International Symposium on Physical Design10.1145/3299902.3309755(93-100)Online publication date: 4-Apr-2019
    • (2018)On Coloring and Colorability Analysis of Integrated Circuits with Triple and Quadruple Patterning TechniquesProceedings of the 2018 International Symposium on Physical Design10.1145/3177540.3178241(152-159)Online publication date: 25-Mar-2018
    • (2017)A unified framework for simultaneous layout decomposition and mask optimizationProceedings of the 36th International Conference on Computer-Aided Design10.5555/3199700.3199711(81-88)Online publication date: 13-Nov-2017
    • (2017)Triple/quadruple patterning layout decomposition via linear programming and iterative roundingJournal of Micro/Nanolithography, MEMS, and MOEMS10.1117/1.JMM.16.2.02350716:2(023507)Online publication date: 14-Jun-2017
    • (2016)Multiple patterning layout decomposition considering complex coloring rulesProceedings of the 53rd Annual Design Automation Conference10.1145/2897937.2898048(1-6)Online publication date: 5-Jun-2016
    • (2016)EBL Overlapping Aware Stencil Planning for MCC SystemACM Transactions on Design Automation of Electronic Systems10.1145/288839421:3(1-24)Online publication date: 16-May-2016
    • (2016)Design for Manufacturability with E-Beam LithographyDesign for Manufacturability with Advanced Lithography10.1007/978-3-319-20385-0_5(111-157)Online publication date: 2016
    • (2016)Layout Decomposition for Other Patterning TechniquesDesign for Manufacturability with Advanced Lithography10.1007/978-3-319-20385-0_3(53-82)Online publication date: 2016
    • Show More Cited By

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