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Proceedings Paper

Robust resolution enhancement optimization methods to process variations based on vector imaging model
Author(s): Xu Ma; Yanqiu Li; Xuejia Guo; Lisong Dong
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Paper Abstract

Optical proximity correction (OPC) and phase shifting mask (PSM) are the most widely used resolution enhancement techniques (RET) in the semiconductor industry. Recently, a set of OPC and PSM optimization algorithms have been developed to solve for the inverse lithography problem, which are only designed for the nominal imaging parameters without giving sufficient attention to the process variations due to the aberrations, defocus and dose variation. However, the effects of process variations existing in the practical optical lithography systems become more pronounced as the critical dimension (CD) continuously shrinks. On the other hand, the lithography systems with larger NA (NA>0.6) are now extensively used, rendering the scalar imaging models inadequate to describe the vector nature of the electromagnetic field in the current optical lithography systems. In order to tackle the above problems, this paper focuses on developing robust gradient-based OPC and PSM optimization algorithms to the process variations under a vector imaging model. To achieve this goal, an integrative and analytic vector imaging model is applied to formulate the optimization problem, where the effects of process variations are explicitly incorporated in the optimization framework. The steepest descent algorithm is used to optimize the mask iteratively. In order to improve the efficiency of the proposed algorithms, a set of algorithm acceleration techniques (AAT) are exploited during the optimization procedure.

Paper Details

Date Published: 13 March 2012
PDF: 18 pages
Proc. SPIE 8326, Optical Microlithography XXV, 83262A (13 March 2012); doi: 10.1117/12.916147
Show Author Affiliations
Xu Ma, Beijing Institute of Technology (China)
Yanqiu Li, Beijing Institute of Technology (China)
Xuejia Guo, Beijing Institute of Technology (China)
Lisong Dong, Beijing Institute of Technology (China)

Published in SPIE Proceedings Vol. 8326:
Optical Microlithography XXV
Will Conley, Editor(s)

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