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Efficient Mask Design for Inverse Lithography Technology Based on 2D Discrete Cosine Transformation (DCT)

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Abstract

An efficient algorithm is proposed for fast synthesis of low complexity model-based inverse lithography technology (ILT) and phase shift masks (PSM) to improve the resolution and pattern fidelity in optical microlithography. The patterns on the mask are transformed into frequency space using 2D discrete cosine transformation (DCT). The solution space is thus changed to frequency space from real space. By cutting off high frequency components in DC spectrum, the dimension of the solution space is greatly reduced. Using a gradient-based algorithm, we solve the inverse problem in incoherent and partial coherent imaging systems with binary, 6%EPSM and APSM mask. Good fidelity images are achieved.

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References

  1. B.E.A Saleh and S. I. Sayegh, “Reduction of errors of microphotographic reproductions by optimal corrections of original masks”, Opt. Eng. 20, 781–787, 1981.

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  2. Yong Liu and Avideh Zakhor, “Binary and phase-shifting mask design for optical lithography”, IEEE Trans. Semicond. Manufact., 5, 138–152, 1992.

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  3. Sherif Sherif and Bahaa Saleh, “Binary Image Synthesis Using Mixed Linear Integer Programming”, IEEE Trans. Image Processing, 4, 1252–1257, 1995.

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  4. Yuri Granik, “Solving Inverse Problems of Optical Microlithography”, SPIE, 5754, 506–526, 2005.

    Article  Google Scholar 

  5. W. Huang, et al., “Two threshold resist models for optical proximity correction”, SPIE 5377, 1536–1543, 2001.

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© 2007 Springer-Verlag Wien

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Zhang, J., Xiong, W., Tsai, MC., Wang, Y., Yu, Z. (2007). Efficient Mask Design for Inverse Lithography Technology Based on 2D Discrete Cosine Transformation (DCT). In: Grasser, T., Selberherr, S. (eds) Simulation of Semiconductor Processes and Devices 2007. Springer, Vienna. https://doi.org/10.1007/978-3-211-72861-1_12

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  • DOI: https://doi.org/10.1007/978-3-211-72861-1_12

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-72860-4

  • Online ISBN: 978-3-211-72861-1

  • eBook Packages: EngineeringEngineering (R0)

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