Method and apparatus for measuring a structure on a substrate, models for error correction, computer program products for implementing such methods and apparatus

A reconstruction process includes measuring structures formed on a substrate by a lithographic process, determining a reconstruction model for generating modeled patterns, computing and minimizing a multi-variable cost function including model errors. Errors induced by nuisance parameters are modele...

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Hauptverfasser: Brok Janne Maria, Mink Martijn Peter, Setija Irwan Dani
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creator Brok Janne Maria
Mink Martijn Peter
Setija Irwan Dani
description A reconstruction process includes measuring structures formed on a substrate by a lithographic process, determining a reconstruction model for generating modeled patterns, computing and minimizing a multi-variable cost function including model errors. Errors induced by nuisance parameters are modeled based on statistical description of the nuisance parameters' behavior, described by probability density functions. From the statistical description model errors are calculated expressed in terms of average model errors and weighing matrices. These are used to modify the cost function so as to reduce the influence of the nuisance parameters in the reconstruction, without increasing the complexity of the reconstruction model. The nuisance parameters may be parameters of the modeled structure, and/or parameters of an inspection apparatus used in the reconstruction.
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subjects APPARATUS SPECIALLY ADAPTED THEREFOR
CINEMATOGRAPHY
ELECTROGRAPHY
HOLOGRAPHY
MATERIALS THEREFOR
MEASURING
MEASURING ANGLES
MEASURING AREAS
MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
MEASURING LENGTH, THICKNESS OR SIMILAR LINEARDIMENSIONS
ORIGINALS THEREFOR
PHOTOGRAPHY
PHOTOMECHANICAL PRODUCTION OF TEXTURED OR PATTERNED SURFACES,e.g. FOR PRINTING, FOR PROCESSING OF SEMICONDUCTORDEVICES
PHYSICS
TESTING
title Method and apparatus for measuring a structure on a substrate, models for error correction, computer program products for implementing such methods and apparatus
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