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22 March 2008Extracting dose and focus from critical dimension data: optimizing the inverse solution
We present a summary of various methods for inverting top and bottom critical dimension (CD) data to extract dose and
focus information. We explain analytical, numerical, and library inversion techniques in detail, and explore their relative
merits for the purposes of online and offline focus monitoring use models. We also detail the modeling requirements
associated with each inversion technique, and -- for cases where the model form is flexible -- present a cross-validation
methodology for optimizing the response model to fit experimental data. We present modeling and inversion results
from seven exemplary photolithography processes, and study the results from each methodology in detail. While each
method has its own set of advantages and disadvantages, we show that the library method represents the optimum choice
to satisfy a variety of use models while minimizing cost.
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Kevin R. Lensing, J. Broc Stirton, Siddharth Chauhan, "Extracting dose and focus from critical dimension data: optimizing the inverse solution," Proc. SPIE 6922, Metrology, Inspection, and Process Control for Microlithography XXII, 692209 (22 March 2008); https://doi.org/10.1117/12.775441