Efficient measurement and optical proximity correction modeling to catch lithography pattern shift issues of arbitrarily distributed hole layer
Yaobin FENG, Jiamin LIU, Zhiyang SONG, Hao JIANG, Shiyuan LIU
Efficient measurement and optical proximity correction modeling to catch lithography pattern shift issues of arbitrarily distributed hole layer
With the continued shrinking of the critical dimensions (CDs) of wafer patterning, the requirements for modeling precision in optical proximity correction (OPC) increase accordingly. This requirement extends beyond CD controlling accuracy to include pattern alignment accuracy because misalignment can lead to considerable overlay and metal-via coverage issues at advanced nodes, affecting process window and yield. This paper proposes an efficient OPC modeling approach that prioritizes pattern-shift-related elements to tackle the issue accurately. Our method integrates careful measurement selection, the implementation of pattern-shift-aware structures in design, and the manipulation of the cost function during model tuning to establish a robust model. Confirmatory experiments are performed on a via layer fabricated using a negative tone development. Results demonstrate that pattern shifts can be constrained within a range of ±1 nm, remarkably better than the original range of ±3 nm. Furthermore, simulations reveal notable differences between post OPC and original masks when considering pattern shifts at locations sensitive to this phenomenon. Experimental validation confirms the accuracy of the proposed modeling approach, and a firm consistency is observed between the simulation results and experimental data obtained from actual design structures.
computational lithography / optical proximity correction / modeling / pattern shift / metrology
[1] |
WongA K. Resolution Enhancement Techniques in Optical Lithography. Washington: SPIE, 2001, 153–168
|
[2] |
MaX, ArceG R. Computational Lithography. New York: John Wiley & Sons, 2010, 10–17
|
[3] |
Randall J, Gangala H, Tritchkov A. Lithography simulation with aerial image––variable threshold resist model. Microelectronic Engineering, 1999, 46(1–4): 59–63
|
[4] |
Peng D, Hu P, Tolani V, Dam T, Tyminski J, Slonaker S. Toward a consistent and accurate approach to modeling projection optics. In: Optical Microlithography XXII. San Jose: SPIE, 2010, 7640: 76402Y
CrossRef
Google scholar
|
[5] |
LiaoH, Palmer S, SadraK. Variable threshold optical proximity correction (OPC) models for high-performance 0.18-μm process. In: Optical Microlithography XIII. Santa Clara: SPIE Microlithography, 2000, 1033–1040
|
[6] |
Roessler T, Frankowsky B, Toublan O. Improvement of empirical OPC model robustness using full-chip aerial image analysis. In: Proceedings of the 23rd Annual BACUS Symposium on Photomask Technology. Monterey: SPIE Photomask Technology, 2003, 5256: 222–229
CrossRef
Google scholar
|
[7] |
Poonawala A, Milanfar P. Mask design for optical microlithography-an inverse imaging problem. IEEE Transactions on Image Processing, 2007, 16(3): 774–788
CrossRef
Google scholar
|
[8] |
Ma X, Arce G R. Pixel-based OPC optimization based on conjugate gradients. Optics Express, 2011, 19(3): 2165–2180
CrossRef
Google scholar
|
[9] |
Granik Y, Medvedev D, Cobb N. Towards standard process models for OPC. In: Proceedings of Optical Microlithography XX. San Jose: SPIE Advanced Lithography, 2007, 6520: 652043
|
[10] |
Granik Y, Cobb N, Medvedev D. Extreme mask corrections: technology and benefits. In: Optical Microlithography XXI. San Jose: SPIE Advanced Lithography, 2008, 6924: 69243W
|
[11] |
Bahnas M, Al-Imam M. OPC model calibration considerations for data variance. In: Optical Microlithography XXI. San Jose: SPIE Advanced Lithography, 2008, 6924: 69243U
CrossRef
Google scholar
|
[12] |
Kusnadi I, Do T, Granik Y, Sturtevant J L, De Bisschop P, Hibino D. Contour based self-aligning calibration of OPC models. In: Metrology, Inspection, and Process Control for Microlithography XXIV. San Jose: SPIE Advanced Lithography, 2010, 7638: 76382M
CrossRef
Google scholar
|
[13] |
Jayaram S, LaCour P, Word J, Tritchkov A. Model-based SRAF solutions for advanced technology nodes. In: Proceedings of SPIE 29th European Mask and Lithography Conference, 2013, 8886: 88860P
|
[14] |
Zuniga C, Deng Y. Resist toploss modelling for OPC applications. In: Optical Microlithography XXVII. San Jose: SPIE Advanced Lithography, 2014, 9052: 905227
CrossRef
Google scholar
|
[15] |
TaravadeK N, Croffie E H, JostA. Two-dimensional image based model calibration for OPC applications. In: Optical Microlithography XVII. Santa Clara: SPIE Microlithography, 2004, 1522–1527
|
[16] |
Tabery C, Morokuma H, Matsuoka R, Page L, Bailey G E, Kusnadi I, Do T. SEM image contouring for OPC model calibration and verification. In: Optical Microlithography XX. San Jose: SPIE Advanced Lithography, 2007, 6520: 652019
|
[17] |
Granik Y, Kusnadi I. Challenges of OPC model calibration from SEM contours. In: Metrology, Inspection, and Process Control for Microlithography XXII. San Jose: SPIE Advanced Lithography, 2008, 6922: 69221H
CrossRef
Google scholar
|
[18] |
Filitchkin P, Do T, Kusnadi I, Sturtevant J L, De Bisschop P, Van de Kerkhove J. Contour quality assessment for OPC model calibration. In: Metrology, Inspection, and Process Control for Microlithography XIII. San Jose: SPIE Advanced Lithography, 2009, 7272: 72722Q
CrossRef
Google scholar
|
[19] |
Hibino D, Shindo H, Abe Y, Hojyo Y, Fenger G, Do T, Kusnadi I, Sturtevant J L, De Bisschop P, Van de Kerkhove J. High accuracy OPC-modeling by using advanced CD-SEM based contours in the next generation lithography. In: Metrology, Inspection, and Process Control for Microlithography XXIV. San Jose: SPIE Advanced Lithography, 2010, 7638: 76381X
CrossRef
Google scholar
|
[20] |
Kim Y, Lee S, Hou Z, Zhao Y, Liu M, Zheng Y, Zhao Q, Kang D, Wang L, Simmons M, Feng M, Lang J, Choi B, Kim G, Sim H, Park J, Yoo G, Lee J, Ko S, Choi J, Kim C, Park C. OPC model accuracy study using high volume contour based gauges and deep learning on memory device. In: Metrology, Inspection, and Process Control for Microlithography XXXIII. San Jose: SPIE Advanced Lithography, 2019, 10959: 1095913
CrossRef
Google scholar
|
[21] |
Weisbuch F, Jantzen K. Enabling scanning electron microscope contour-based optical proximity correction models. Journal of Micro/Nanolithography, MEMS, and MOEMS, 2015, 14(2): 021105
CrossRef
Google scholar
|
[22] |
Fischer D, Han G, Oberschmidt J, Cheng Y W, Maeng J Y, Archie C, Lu W, Tabery C. Challenges of implementing contour modeling in 32 nm technology. In: Metrology, Inspection, and Process Control for Microlithography XXII. San Jose: SPIE Advanced Lithography, 2008, 6922: 69220A
CrossRef
Google scholar
|
[23] |
Chuyeshov C, Carrero J, Sezginer A, Kamat V. Calibration of e-beam and etch models using SEM images. In: Photomask Technology. Monterey: SPIE, 2009, 7488: 74883I
CrossRef
Google scholar
|
[24] |
De Bisschop P, Van de Kerkhove J. Alignment and averaging of scanning electron microscope image contours for optical proximity correction modeling purposes. Journal of Micro/Nanolithography, MEMS, and MOEMS, 2010, 9(4): 041302
CrossRef
Google scholar
|
[25] |
Hopkins H H. The concept of partial coherence in optics. Proceedings of the Royal Society of London Series A: Mathematical and Physical Sciences, 1951, 208(1093): 263–277
CrossRef
Google scholar
|
[26] |
Drozdov A N, Kempsell M L, Granik Y. Fitness and runtime correlation of compact model complexity. In: Optical Microlithography XXI. San Jose: SPIE Advanced Lithography, 2008, 6924: 692445
CrossRef
Google scholar
|
[27] |
Kumar P, Srinivasan B, Mohapatra N R. Fast and accurate lithography simulation using cluster analysis in resist model building. Journal of Micro/Nanolithography, MEMS, and MOEMS, 2015, 14(2): 023506
CrossRef
Google scholar
|
[28] |
Yuan W, Lu Y, Zhao Y, Chen S, Li M, Hu H, Yao S, Liu Z, Li Q, Tian Y, Zhou Z, Gu L, Wang J, Sheng X, Yan G, Zheng Y, Yao Y, Xiao Y, Liu L, Zhao Q, Feng M, Chen J, Lang J. Metrology and deep learning integrated solution to drive OPC model accuracy improvement. In: Optical Microlithography XXXII. San Jose: SPIE Advanced Lithography, 2019, 10961: 109610N
CrossRef
Google scholar
|
[29] |
Watanabe Y, Kimura T, Matsunawa T, Nojima S. Accurate lithography simulation model based on convolutional neural networks. In: Proceedings of the XXIV Symposium on Photomask and Next-Generation Lithography Mask Technology. Yokohama: SPIE, 2017, 10147: 104540I
|
[30] |
Sun R, Kang D, Jia C, Liu M, Shao D, Kim Y, Shin J, Mark S, Zhao Q, Feng M, Zhao Y, Wang S, Kim S, Ko S, Kim S, Choi J, Park C. Enhancing model accuracy and calibration efficiency with image-based pattern selection using machine learning techniques. In: Optical Microlithography XXXIV. San Jose: SPIE Advanced Lithography, 2021, 11613: 116130Y
CrossRef
Google scholar
|
Abbreviations | |
CD | Critical dimension |
EP | Edge placement |
FOV | Field of view |
IBPS | Image-based pattern selection |
ML | Machine learning |
OD | Optical diameter |
OPC | Optical proximity correction |
RET | Resolution enhancement technique |
RMS | Root mean square |
SEM | Scanning electron microscope |
SRAF | Sub-resolution assist feature |
TCC | Transmission cross-coefficient |
/
〈 | 〉 |