Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization

The non-ideal mask absorber can cause an increase in critical dimension error (CDE) and decrease in process window (PW). However, the random mask absorber errors induced during mask fabricating and measuring are not considered in computational lithography. The problem cannot be neglected as the cont...

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Main Authors: Naiyuan Sheng, Enze Li, Yiyu Sun, Tie Li, Yanqiu Li, Pengzhi Wei, Lihui Liu
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/9/7/1275
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spelling doaj-193beba96056487590b3106fbb3436242020-11-25T02:18:08ZengMDPI AGApplied Sciences2076-34172019-03-0197127510.3390/app9071275app9071275Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic OptimizationNaiyuan Sheng0Enze Li1Yiyu Sun2Tie Li3Yanqiu Li4Pengzhi Wei5Lihui Liu6Key Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaKey Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaKey Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaKey Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaKey Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaKey Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaKey Laboratory of Photoelectronic Imaging Technology and System of Ministry of Education of China, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, ChinaThe non-ideal mask absorber can cause an increase in critical dimension error (CDE) and decrease in process window (PW). However, the random mask absorber errors induced during mask fabricating and measuring are not considered in computational lithography. The problem cannot be neglected as the continuous scaling of lithography technology node. In this work, for the first time to our knowledge, a source, numerical aperture (NA), and process parameters co-optimization (SNPCO) method is developed to reduce the CDE induced by absorber errors and improve the PW. First, the source is represented by Zernike polynomials to balance computational burden and flexibility of source. Then a weighted cost function containing CDE and PW that incorporates the influences of absorber errors is created. Finally, a statistical optimization method is used to optimize the lithographic system parameters. Simulations of 1D mask pattern show that for the system with extreme absorber errors, the pattern errors of the proposed method are reduced by 62.1% and 58.9%, and the PWs are increased by 40.3% and 36.4%, respectively. The results illustrate that this method is effective in mitigating the CDE caused absorber errors and improving process robustness.https://www.mdpi.com/2076-3417/9/7/1275computational lithographymask absorberco-optimizationprocess window (PW)
collection DOAJ
language English
format Article
sources DOAJ
author Naiyuan Sheng
Enze Li
Yiyu Sun
Tie Li
Yanqiu Li
Pengzhi Wei
Lihui Liu
spellingShingle Naiyuan Sheng
Enze Li
Yiyu Sun
Tie Li
Yanqiu Li
Pengzhi Wei
Lihui Liu
Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization
Applied Sciences
computational lithography
mask absorber
co-optimization
process window (PW)
author_facet Naiyuan Sheng
Enze Li
Yiyu Sun
Tie Li
Yanqiu Li
Pengzhi Wei
Lihui Liu
author_sort Naiyuan Sheng
title Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization
title_short Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization
title_full Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization
title_fullStr Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization
title_full_unstemmed Mitigating the Impact of Mask Absorber Error on Lithographic Performance by Lithography System Holistic Optimization
title_sort mitigating the impact of mask absorber error on lithographic performance by lithography system holistic optimization
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-03-01
description The non-ideal mask absorber can cause an increase in critical dimension error (CDE) and decrease in process window (PW). However, the random mask absorber errors induced during mask fabricating and measuring are not considered in computational lithography. The problem cannot be neglected as the continuous scaling of lithography technology node. In this work, for the first time to our knowledge, a source, numerical aperture (NA), and process parameters co-optimization (SNPCO) method is developed to reduce the CDE induced by absorber errors and improve the PW. First, the source is represented by Zernike polynomials to balance computational burden and flexibility of source. Then a weighted cost function containing CDE and PW that incorporates the influences of absorber errors is created. Finally, a statistical optimization method is used to optimize the lithographic system parameters. Simulations of 1D mask pattern show that for the system with extreme absorber errors, the pattern errors of the proposed method are reduced by 62.1% and 58.9%, and the PWs are increased by 40.3% and 36.4%, respectively. The results illustrate that this method is effective in mitigating the CDE caused absorber errors and improving process robustness.
topic computational lithography
mask absorber
co-optimization
process window (PW)
url https://www.mdpi.com/2076-3417/9/7/1275
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