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Multi-objective genetic algorithms for reducing mark read-out effort in lithographic tests

Published: 13 July 2019 Publication History

Abstract

This paper describes an application of multi-objective genetic algorithms (MOGA) to an optimization problem in the context of lithographic testing. The overall aim is to find a general procedure for reducing mark read-out effort in lithographic tests with limited degradation of related performance indicators. In these tests, silicon wafers are exposed with marks which are then read-out to determine lithographic performance expressed, for instance, with the 99.7 percentile of the read-out marks.
The problem was solved by applying MOGA in two stages. The first stage aims at determining a reduced layout in which for each field the same marks are read-out. In the second stage, the aim is to determine a reduced layout in which different fields have different marks read-out. In both stages the conflicting objectives are two: the number of read-out marks and the chosen performance indicator.
The recombination and mutation operators applied in MOGA are different in the two stages and are derived from a statistical analysis of the input data.
This approach, when applied to overlay test data, leads to a 50% reduction in read-out marks with 10% degradation range in performance indicators when compared to the full layout.

References

[1]
C. Mack, 2012. Fundamental Principles of Optical Lithography: The Science of Microfabrication. Wiley, NY, 2012.
[2]
K. Deb, 2001. Multi-objective optimization using evolutionary algorithms. Wiley, NY, 2001.

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  1. Multi-objective genetic algorithms for reducing mark read-out effort in lithographic tests

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    cover image ACM Conferences
    GECCO '19: Proceedings of the Genetic and Evolutionary Computation Conference Companion
    July 2019
    2161 pages
    ISBN:9781450367486
    DOI:10.1145/3319619
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    New York, NY, United States

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    Published: 13 July 2019

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    Author Tags

    1. lithography
    2. multi-objective optimization

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    GECCO '19
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    GECCO '19: Genetic and Evolutionary Computation Conference
    July 13 - 17, 2019
    Prague, Czech Republic

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    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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