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author:

Chen, Jianli (Chen, Jianli.) [1] | Huang, Zhipeng (Huang, Zhipeng.) [2] | Zhu, Ziran (Zhu, Ziran.) [3] | Peng, Zheng (Peng, Zheng.) [4] | Zhu, Wenxing (Zhu, Wenxing.) [5] | Chang, Yao-Wen (Chang, Yao-Wen.) [6]

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EI

Abstract:

Fogging and proximity effects (FPEs) are two major factors that cause inaccurate exposure and layout pattern distortions in e-beam lithography. In this article, we propose an analytical placement algorithm that considers both FPEs. We formulate the global placement problem as a separable minimization problem with linear constraints, where different objectives can be tackled one by one in an alternating fashion. Then, we propose a novel proximal group alternating direction method of multipliers (ADMM) to solve the separable minimization problem with two subproblems, where the first subproblem (associated with wirelength and density) is solved by the steepest descent method without line search, and the second one (associated with the FPEs) is handled by an analytical scheme. We prove the property of global convergence of the proximal group ADMM method. Finally, the FPEs-aware legalization and detailed placement are employed to legalize and improve the placement result. The experimental results show that our algorithm is effective and efficient for the addressed problem. Our algorithm achieved 5.7% smaller fogging variation, 6.8% lower proximity variation, and 5.4% lower runtime with a minor wirelength overhead compared with the state-of-the-art work. © 1982-2012 IEEE.

Keyword:

Functions Steepest descent method

Community:

  • [ 1 ] [Chen, Jianli]Fudan University, State Key Laboratory of Asic and System, The Zhangjiang Fudan International Innovation Center, Shanghai; 200433, China
  • [ 2 ] [Huang, Zhipeng]Fuzhou University, Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou; 350108, China
  • [ 3 ] [Zhu, Ziran]Southeast University, National Asic System Engineering Center, The School of Electronic Science and Engineering, Nanjing; 210096, China
  • [ 4 ] [Peng, Zheng]Xiangtan University, Hunan National Center for Applied Mathematics, The School of Mathematics and Computational Science, Xiangtan; 411105, China
  • [ 5 ] [Zhu, Wenxing]Fuzhou University, Center for Discrete Mathematics and Theoretical Computer Science, Fuzhou; 350108, China
  • [ 6 ] [Chang, Yao-Wen]National Taiwan University, Department of Electrical Engineering, Graduate Institute of Electronics Engineering, The Department of Computer Science and Information Engineering, Taipei; 106, Taiwan

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Source :

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

ISSN: 0278-0070

Year: 2022

Issue: 12

Volume: 41

Page: 5541-5553

2 . 9

JCR@2022

2 . 7 0 0

JCR@2023

ESI HC Threshold:66

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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