Critical dimension control in photolithography based on the yield by a simulation program

Abstract The critical dimension (CD) of wafers in photolithography is the most important parameter that determines the final performance of devices. The sampling of CD’s, as a result, is essential and must be taken with caution. Process yield is a common criterion used in the manufacturing industry for measuring process performance. A measurement index, called S pk , has been proposed to calculate the yield for normal processes, and can be used to establish the relationship between the manufacturing specifications and the actual process performance, which provides an exact measure on process yield. In this paper, we solve the CD control problem based on the yield index S pk . The critical values required for the hypothesis testing, using the standard simulation technique, for various commonly used performance requirements, are obtained. Extensive simulation results are provided and analyzed. The results indicate that a sample size greater than 145 is sufficient to ensure that the decisions made are insensitive to the process precision and the process accuracy. The investigation is useful to the practitioners for making reliable decisions in testing process performance of a stepper and quality of an engineering lot by CD control.

[1]  Scott Daniel Hector,et al.  Critical dimension control in optical lithography , 2003 .

[2]  Samuel Kotz,et al.  Process Capability Indices—A Review, 1992–2000 , 2002 .

[3]  M. Hankinson,et al.  Run-to-run critical dimension and sidewall angle lithography control using the PROLITH simulator , 2004, IEEE Transactions on Semiconductor Manufacturing.

[4]  R. A. Boyles Brocess capability with asymmetric tolerances , 1994 .

[5]  S. Wolf,et al.  Silicon Processing for the VLSI Era , 1986 .

[6]  P. A. Crossley,et al.  Measuring Photolithographic Overlay Accuracy and Critical Dimensions by Correlating Binarized Laplacian of Gaussian Convolutions , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Wen Lea Pearn,et al.  On the distribution of the estimated process yield index Spk , 2002 .

[8]  Hong Xiao,et al.  Introduction to Semiconductor Manufacturing Technology , 2000 .

[9]  Wen Lea Pearn,et al.  Accuracy Analysis of the Estimated Process Yield Based on Spk , 2004 .

[10]  Sungmin Park Statistical design of experiments and analysis on gate poly-silicon critical dimension , 2004, IEEE Transactions on Semiconductor Manufacturing.

[11]  Wen Lea Pearn,et al.  Normal Approximation to the Distribution of the Estimated Yield Index Spk , 2004 .

[12]  Wen Lea Pearn,et al.  Distributional and inferential properties of the process accuracy and process precision indices , 1998 .

[13]  Wen Lea Pearn,et al.  The C”pk index for asymmetric tolerances: Implications and inference , 2004 .

[14]  Samuel Kotz,et al.  Process Capability Indices , 1993 .