Abstract: A method for controlling a lithographic apparatus configured to pattern an exposure field on a substrate including at least a sub-field, the method including: obtaining an initial spatial profile associated with a spatial variation of a performance parameter associated with a layer on the substrate across at least the sub-field of the exposure field; and decomposing the initial spatial profile into at least a first component spatial profile for controlling a lithographic apparatus at a first spatial scale and a second component spatial profile for controlling the lithographic apparatus at a second spatial scale associated with a size of the sub-field, wherein the decomposing includes co-optimizing the first and second component spatial profiles based on correcting the spatial variation of the performance parameter across the sub-field.

Abstract: A method for controlling a lithographic apparatus configured to pattern an exposure field on a substrate including at least a sub-field, the method including: obtaining an initial spatial profile associated with a spatial variation of a performance parameter associated with a layer on the substrate across at least the sub-field of the exposure field; and decomposing the initial spatial profile into at least a first component spatial profile for controlling a lithographic apparatus at a first spatial scale and a second component spatial profile for controlling the lithographic apparatus at a second spatial scale associated with a size of the sub-field, wherein the decomposing includes co-optimizing the first and second component spatial profiles based on correcting the spatial variation of the performance parameter across the sub-field.

Abstract: A method for determining a correction for control of a lithographic process for exposing a pattern on an exposure field using a lithographic apparatus. The method including obtaining a spatial profile describing spatial variation of a performance parameter across at least a portion of the exposure field and co-determining control profiles for the spatial profile to minimize error in the performance parameter while ensuring a minimum contrast quality. The co-determined control profiles include at least a stage control profile for control of a stage arrangement of the lithographic apparatus and an optical element (e.g., lens) manipulator control profile for control of an optical element manipulator of the lithographic apparatus, the manipulator operable to perform a correction for at least magnification in a direction perpendicular to the substrate plane.

Abstract: A method for determining a preferred control strategy relating to control of a manufacturing process for manufacturing an integrated circuit. The method includes: obtaining process data associated with a design of said integrated circuit; and obtaining a plurality of candidate control strategies configured to control the manufacturing process based on the process data, each candidate control strategy including an associated cost metric based on an associated requirement to implement the candidate control strategy. A quality metric related to an expected performance of the manufacturing process is determined for each candidate control strategies, and a preferred control strategy is selected based on the determined quality metrics and associated cost metrics for each candidate control strategy.

Abstract: A method for controlling a lithographic apparatus configured to pattern an exposure field on a substrate including at least a sub-field, the method including: obtaining an initial spatial profile associated with a spatial variation of a performance parameter associated with a layer on the substrate across at least the sub-field of the exposure field; and decomposing the initial spatial profile into at least a first component spatial profile for controlling a lithographic apparatus at a first spatial scale and a second component spatial profile for controlling the lithographic apparatus at a second spatial scale associated with a size of the sub-field, wherein the decomposing includes co-optimizing the first and second component spatial profiles based on correcting the spatial variation of the performance parameter across the sub-field.

Abstract: A method for determining a preferred control strategy relating to control of a manufacturing process for manufacturing an integrated circuit. The method includes: obtaining process data associated with a design of said integrated circuit; and obtaining a plurality of candidate control strategies configured to control the manufacturing process based on the process data, each candidate control strategy including an associated cost metric based on an associated requirement to implement the candidate control strategy. A quality metric related to an expected performance of the manufacturing process is determined for each candidate control strategies, and a preferred control strategy is selected based on the determined quality metrics and associated cost metrics for each candidate control strategy.