We consider the inverse problem of determining an optical mask that produces a desired circuit pattern in photolithography. We set the problem as a shape design problem in which the unknown is a two-dimensional domain. The relationship between the target shape and the unknown is modeled through diffractive optics. We develop a variational formulation that is well-posed and propose an approximation that can be shown to have convergence properties. The approximate problem can serve as a foundation to numerical methods, much like the Ambrosio-Tortorelli's approximation of the Mumford-Shah functional in image processing.
Analysis of an inverse problem arising in photolithography / L. Rondi, F. Santosa. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 22:5(2012), pp. 1150026.1-1150026.30.
Analysis of an inverse problem arising in photolithography
L. Rondi
;
2012
Abstract
We consider the inverse problem of determining an optical mask that produces a desired circuit pattern in photolithography. We set the problem as a shape design problem in which the unknown is a two-dimensional domain. The relationship between the target shape and the unknown is modeled through diffractive optics. We develop a variational formulation that is well-posed and propose an approximation that can be shown to have convergence properties. The approximate problem can serve as a foundation to numerical methods, much like the Ambrosio-Tortorelli's approximation of the Mumford-Shah functional in image processing.File | Dimensione | Formato | |
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