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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 電子工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16601
完整後設資料紀錄
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dc.contributor.advisor張耀文
dc.contributor.authorWei-Yu Chenen
dc.contributor.author陳威宇zh_TW
dc.date.accessioned2021-06-07T18:23:06Z-
dc.date.copyright2012-01-17
dc.date.issued2011
dc.date.submitted2011-10-07
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16601-
dc.description.abstract對小於22 奈米的製程節點,雙圖樣微影技術(double patterning lithography)是目前用來增進可印刷性最受推崇的方法。然而,對於小於15 奈米的製程節點,有許多來自業界的文獻指出部分較複雜且密集的層,如閘層、接觸層和第一金屬層,將必須使用到三圖樣微影技術(triple patterning lithography)。不幸地,直至目前,專注在三圖樣微影技術之佈局分割的研究還相當少。最近才有學者對三圖影微影技術提出第一個系統性的方法。然而,我們觀察到,在三圖樣微影技術下,該演算法可能會遺漏相當多可能的縫合(stitch)位置,因此造成部分其實是可透過縫合解決的衝突(conflict)。在本論文中,我們先指出佈局分割在雙圖樣微影技術下和在三圖樣微影技術下主要的兩個不同之處。根據此兩個不同之處,我們提出一個包含四種削減技術的圖切割的方法,此方法可削減問題規模而不影響解的品質。接著,我們提出一個在分配光罩(mask)時考慮逢合的方法,此方法將會在分配光罩時讓衝突趨向產生在容易插入縫合的地方。由實驗結果可看出我們的圖切割的方法可有效的減少約93%的問題規模,且我們提出的光罩分配方法可減少約38%的衝突。zh_TW
dc.description.abstractDouble patterning lithography (DPL) has been widely recognized as one of the most promising solutions for the sub-22nm technology node to enhance pattern printability. However, much of the literature from industry states that, for the 15nm technology node and beyond, triple patterning lithography (TPL) will be required for the gate, contact, and metal one layers, which are too complex and dense to be split into two masks. Unfortunately, until now, there is very little research focusing on the layout decomposition for TPL. Recent work presented by Yu et al. proposed the first systematic study on the layout decomposition for TPL. However, we observe that their proposed algorithm may miss several possible stitch locations and result in some conflicts that can be resolved by inserting stitches. In this thesis, we first point out two main differences between DPL and TPL layout decompositions. Based on these two differences, we first present a graph division method consisting of four reduction techniques to reduce the problem size without degrading overall solution quality. Next, we propose a stitch-aware mask assignment algorithm, which is based on a heuristic that finds a mask assignment such that the conflicts among the features in the same mask are more likely to be resolved by inserting stitches. Experimental results show that our graph division method can significantly reduce the problem size by an average of 93%, and that the proposed stitch-aware mask assignment algorithm can achieve around 38% reduction of conflicts compared to a basic mask assignment method.en
dc.description.provenanceMade available in DSpace on 2021-06-07T18:23:06Z (GMT). No. of bitstreams: 1
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Previous issue date: 2011
en
dc.description.tableofcontentsAcknowledgements i
Abstract (Chinese) ii
Abstract iv
List of Tables viii
List of Figures ix
Chapter 1. Introduction 1
1.1 Conventional Optical Lithography . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Multiple Patterning Lithography . . . . . . . . . . . . . . . . . . . . . . . 4
1.2.1 Double Patterning Lithography (DPL) . . . . . . . . . . . . . . . . 4
1.2.2 Triple Patterning Lithography (TPL) . . . . . . . . . . . . . . . . 7
1.3 Related Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.4 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.5 Thesis Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Chapter 2. Preliminaries 13
2.1 Problem Formulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.2 Differences between DPL and TPL Layout Decompositions . . . . . . . . 14
2.2.1 Problem Complexity . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.2.2 Stitch Finding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Chapter 3. Algorithm 18
3.1 Overall Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
3.2 Conflict Graph Construction . . . . . . . . . . . . . . . . . . . . . . . . . 20
3.3 Graph Division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
3.3.1 Vertex with Degree Less than Three Removal . . . . . . . . . . . . 22
3.3.2 Connected Component Computation . . . . . . . . . . . . . . . . . 25
3.3.3 Biconnected Component Computation . . . . . . . . . . . . . . . . 27
3.3.4 Three-Edge-Connected Component Computation . . . . . . . . . . 29
3.4 Stitch-Aware Mask Assignment . . . . . . . . . . . . . . . . . . . . . . . 33
3.4.1 Edge Weight Calculation . . . . . . . . . . . . . . . . . . . . . . . 35
3.4.2 Mask Assignment . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
3.5 Stitch Insertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
Chapter 4. Experimental Results 42
4.1 Experimental Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
4.2 Result Comparison . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Chapter 5. Conclusion 50
Bibliography 52
dc.language.isoen
dc.subject光罩分配zh_TW
dc.subject三圖樣微影技術zh_TW
dc.subject佈局分割zh_TW
dc.subject圖切割zh_TW
dc.subjectGraph Divisionen
dc.subjectTriple Patterning Lithographyen
dc.subjectLayout Decompositionen
dc.subjectMask Assignmenten
dc.title三圖樣微影技術下之佈局分割方法zh_TW
dc.titleLayout Decomposition for Triple Patterning Lithographyen
dc.typeThesis
dc.date.schoolyear100-1
dc.description.degree碩士
dc.contributor.oralexamcommittee陳中寬,郭斯彥,江蕙如,陳宏明
dc.subject.keyword三圖樣微影技術,佈局分割,圖切割,光罩分配,zh_TW
dc.subject.keywordTriple Patterning Lithography,Layout Decomposition,Graph Division,Mask Assignment,en
dc.relation.page58
dc.rights.note未授權
dc.date.accepted2011-10-11
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept電子工程學研究所zh_TW
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