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Hausdorff Distance Driven L-Shape Matching Based Layout Decomposition for E-Beam Lithography

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VLSI Design and Test (VDAT 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 711))

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Abstract

Layout decomposition is a basic step in mask data preparation in e-beam lithography (EBL) writing. For larger throughput in EBL, L-shape-writing technique has recently been developed. It is termed as L-shape fracturing, similar in line with rectangular fracturing. However, implementation of this new technique may yield very thin/narrow features called slivers. For better manufacturability, it is preferable to minimize the overall sliver length. In this paper we propose a novel scheme based on Hausdorff distance metrics for L-shape fracturing with inherent sliver minimization. The proposed scheme starts with finding the concave corner vertices of input layout, and attempts to find a balanced partition of this set of concave corner points of the given layout. Subsequently, Hausdorff distance-based layout fracturing is performed. Experimental results demonstrate efficacy of our proposed algorithm.

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References

  1. O’Rourke, J.: Orthogonal polygon. In: Art Gallery Theorems and Algorithms, pp. 31–80. Oxford University Press (1987). Chapter 2

    Google Scholar 

  2. Pain, L., Jurdit, M., Todeschini, J., Manakli, S., Icard, B., Minghetti, B., Bervin, G., Beverina, A., Leverd, F., Broekaart, M., Gouraud, P., Jonghe, V.D., Brun, P., Denorme, S., Boeuf, F., Wang, V., Henry, D.: Electron beam direct write lithography flexibility for ASIC manufacturing: an opportunity for cost reduction. In: SPIE, vol. 5751 (2005)

    Google Scholar 

  3. Arisawa, Y., Aoyama, H., Uno, T., Tanaka, T.: EUV flare correction for the half-pitch 22 nm node. In: SPIE, vol. 7636 (2010)

    Google Scholar 

  4. Kahng, A.B., Park, C.-H., Xu, X., Yao, H.: Layout decomposition for double patterning lithography. In: IEEE/ACM International Conference on Computer-Aided Design (ICCAD), pp. 465–472 (2008)

    Google Scholar 

  5. Yu, B., Yuan, K., Zhang, B., Ding, D., Pan, D.Z.: Layout decomposition for triple patterning lithography. In: IEEE/ACM International Conference on Computer-Aided Design (ICCAD), pp. 1–8 (2011)

    Google Scholar 

  6. Jiang, S., Ma, X., Zakhor, A.: A recursive cost-based approach to fracturing. In: Proceedings of SPIE, vol. 7973 (2011)

    Google Scholar 

  7. Sahouria, E., Bowhill, A.: Generalization of shot definition for variable shaped e-beam machines for write time reduction. In: Proceedings of SPIE, vol. 7823 (2010)

    Google Scholar 

  8. Elayat, A., Lin, T., Sahouria, E., Schulze, S.F.: Assessment and comparison of different approaches for mask write time reduction. In: SPIE, vol. 8166 (2011)

    Google Scholar 

  9. Yuan, K., Yu, B., Pan, D.Z.: E-Beam lithography stencil planning and optimization with overlapped characters. IEEE Trans. Comput.-Aided Des. (TCAD/ICS) 31(2), 167–179 (2012)

    Article  Google Scholar 

  10. Kahng, A.B., Xu, X., Zelikovsky, A.: Yield-and cost-driven fracturing for variable shaped-beam mask writing. In: Proceedings of SPIE, vol. 5567 (2004)

    Google Scholar 

  11. Kahng, A.B., Xu, X., Zelikovsky, A.: Fast yield-driven fracture for variable shaped-beam mask writing. In: Proceedings of SPIE, vol. 6283 (2006)

    Google Scholar 

  12. Dillon, B., Norris, T.: Case study: the impact of VSB fracturing. In: Proceedings of SPIE, vol. 7028 (2008)

    Google Scholar 

  13. Ma, X., Jiang, S., Zakhor, A.: A cost-driven fracture heuristics to minimize sliver length. In: SPIE, vol. 7973 (2011)

    Google Scholar 

  14. Rourke, J.O., Tewari, G.: The structure of optimal partitions of orthogonal polygons into fat rectangles. In: 14th Canadian Conference on Computational Geometry - CCCG02, vol. 28(1), pp. 49–71, May 2004

    Google Scholar 

  15. Lopez, M.A., Mehta, D.P.: Efficient decomposition of polygons into L-shapes with application to VLSI layouts. ACM Trans. Des. Autom. Electron. Syst. (TODAES) 1(3), 371–395 (1996)

    Article  Google Scholar 

  16. Yu, B., Gao, J.-R., Pan, D.Z.: L-Shape based layout fracturing for E-Beam lithography. In: 2013 18th Asia and South Pacific Design Automation Conference (ASP-DAC), Yokohama, pp. 249–254 (2013)

    Google Scholar 

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Correspondence to Arindam Sinharay .

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Sinharay, A., Roy, P., Rahaman, H. (2017). Hausdorff Distance Driven L-Shape Matching Based Layout Decomposition for E-Beam Lithography. In: Kaushik, B., Dasgupta, S., Singh, V. (eds) VLSI Design and Test. VDAT 2017. Communications in Computer and Information Science, vol 711. Springer, Singapore. https://doi.org/10.1007/978-981-10-7470-7_29

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  • DOI: https://doi.org/10.1007/978-981-10-7470-7_29

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  • Print ISBN: 978-981-10-7469-1

  • Online ISBN: 978-981-10-7470-7

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