Response surface modelling utilizing lithographic process simulation

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Title: Response surface modelling utilizing lithographic process simulation
Author: Smith, Bruce; Shiao, Wai-Man; Holscher, Richard; Mahoney, Patricia
Abstract: A method of incorporating statistically designed fractional factorial experiments into lithographic process simulation software (PROL1TH/2) has been used to determine input factor interrelationships inherent within a lithographic process. Rotatable Box-Behnken designs with 3 centerpoints were utilized for the experiment. The response surface methodology (RSM) approach was used to analyze the influence of independent factors on a dependant response, and optimize each process. A "method of steepest ascent" was utilized to produce first-order models, which were verified by lack of fit testing. As optimum operating points were approached, a second-order model was fitted and analyzed. A series of experiments studying the effects of prebake, exposure, post-exposure bake, and development on critical dimension and profile in PROLITH/2 produced response surfaces relating each main factor effect as well as non-linear and interaction effects. Additionally, experiments were conducted to study effects of numerical aperture, coherence, feature size, defocus, and flare on aerial image contrast. Process optimization for the target response value as well as process latitude as it relates to all factors simultaneously was then possible through use of the response surface.
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Date: 1992-06

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