A Novel Virtual Metrology Scheme for Predicting CVD Thickness in Semiconductor Manufacturing

In an advanced semiconductor fab, online quality monitoring of wafers is required for maintaining high stability and yield of production equipment. The current practice of only measuring monitor wafers may not be able to timely detect the equipment-performance drift happening in-between the scheduled measurements. This may cause defects of production wafers and, thereby, raise the production cost. In this paper, a novel virtual metrology scheme (VMS) is proposed for overcoming this problem. The proposed VMS is capable of predicting the quality of each production wafer using parameters data from production equipment. Consequently, equipment-performance drift can be detected promptly. A radial basis function neural network is adopted to construct the virtual metrology model. Also, a model parameter coordinator is developed to effectively increase the prediction accuracy of the VMS. The chemical vapor deposition (CVD) process in semiconductor manufacturing is used to test and verify the effectiveness of the proposed VMS. Test results show that the proposed VMS demonstrates several advantages over the one based on back-propagation neural network and can achieve high prediction accuracy with mean absolute percentage error being 0.34% and maximum error being 1.15%. The proposed VMS is simple yet effective, and can be practically applied to construct the prediction models of semiconductor CVD processes.

[1]  Costas J. Spanos,et al.  Prediction of wafer state after plasma processing using real-time tool data , 1995 .

[2]  M. Goldstein,et al.  Multivariate Analysis: Methods and Applications , 1984 .

[3]  Shang-Liang Chen,et al.  Orthogonal least squares learning algorithm for radial basis function networks , 1991, IEEE Trans. Neural Networks.

[4]  Byungwhan Kim,et al.  Modeling plasma etching process using a radial basis function network , 2005 .

[5]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[6]  Fan-Tien Cheng,et al.  Application development of virtual metrology in semiconductor industry , 2005, 31st Annual Conference of IEEE Industrial Electronics Society, 2005. IECON 2005..

[7]  Asim Roy,et al.  An algorithm to generate radial basis function (RBF)-like nets for classification problems , 1995, Neural Networks.

[8]  S. Chatterjee,et al.  Regression Analysis by Example , 1979 .

[9]  S. Delurgio Forecasting Principles and Applications , 1998 .

[10]  Alain C. Diebold,et al.  Overview of metrology requirements based on the 1994 National Technology Roadmap for semiconductors , 1995, Proceedings of SEMI Advanced Semiconductor Manufacturing Conference and Workshop.

[11]  Arun Ross,et al.  Score normalization in multimodal biometric systems , 2005, Pattern Recognit..

[12]  Subir Chowdhury,et al.  The Mahalanobis-taguchi System , 2000 .

[13]  Sung Yang Bang,et al.  An Efficient Method to Construct a Radial Basis Function Neural Network Classifier , 1997, Neural Networks.

[14]  Gary S. May,et al.  Advantages of plasma etch modeling using neural networks over statistical techniques , 1993 .

[15]  Elizabeth A. Peck,et al.  Introduction to Linear Regression Analysis , 2001 .

[16]  Jiawei Han,et al.  Data Mining: Concepts and Techniques , 2000 .

[17]  Seung Bin Moon,et al.  Modelling of plasma etching process using radial basis function network and genetic algorithm , 2005 .

[18]  Gary S. May,et al.  A comparison of statistically-based and neural network models of plasma etch behavior , 1992, [1992 Proceedings] IEEE/SEMI International Semiconductor Manufacturing Science Symposium.

[19]  Jammalamadaka Introduction to Linear Regression Analysis (3rd ed.) , 2003 .

[20]  Yu-Chuan Su,et al.  A processing quality prognostics scheme for plasma sputtering in TFT-LCD manufacturing , 2006, IEEE Transactions on Semiconductor Manufacturing.

[21]  M. Asada Wafer yield prediction by the Mahalanobis-Taguchi system , 2001, 2001 6th International Workshop on Statistical Methodology (Cat. No.01TH8550).