A method including performing a simulation to evaluate a plurality of metrology targets and/or a plurality of metrology recipes used to measure a metrology target, identifying one or more metrology targets and/or metrology recipes from the evaluated plurality of metrology targets and/or metrology recipes, receiving measurement data of the one or more identified metrology targets and/or metrology recipes, and using the measurement data to tune a metrology target parameter or metrology recipe parameter.

A method for determining a patterning device pattern. The method includes obtaining (i) an initial patterning device pattern having at least one feature, and (ii) a desired feature size of the at least one feature, obtaining, based on a patterning process model, the initial patterning device pattern and a target pattern for a substrate, a difference value between a predicted pattern of the substrate image by the initial patterning device and the target pattern for the substrate, determining a penalty value related the manufacturability of the at least one feature, wherein the penalty value varies as a function of the size of the at least one feature, and determining the patterning device pattern based on the initial patterning device pattern and the desired feature size such that a sum of the difference value and the penalty value is reduced.

According to one embodiment, a pattern inspection method includes detecting a region of a photomask having a pattern that differs from a corresponding design, acquiring an exposure focus shift information including an exposure focus shift amount of a portion of a substrate corresponding to the detected region of the photomask. The exposure focus shift amount for the detected region is acquired from the exposure focus shift information, and then a pass/fail determination for the detected region is performed based on an estimated pattern to be formed on the substrate.

An information processing apparatus includes an acquisition unit configured to acquire process information about a substrate process, the process information including process data and a process condition, and a display control unit configured to control a display on a display apparatus based on the process information acquired by the acquisition unit, wherein the display control unit selectively displays, on the display apparatus, a first screen that displays the process data of a lot including a plurality of substrates on a lot-by-lot basis and a second screen that displays the process data of a first lot on a substrate-by-substrate basis, the first lot being a lot designated by a user from the lot displayed on the first screen.

A method is described. The method includes obtaining a relationship between a thickness of a contamination layer formed on a mask and an amount of compensation energy to remove the contamination layer, obtaining a first thickness of a first contamination layer formed on the mask from a thickness measuring device, and applying first compensation energy calculated from the relationship to a light directed to the mask.

A method for determining a contribution of a processing apparatus to a fingerprint of a parameter across a substrate, the method including: obtaining a delta image which relates to a difference between a first pupil image associated with inspection of a first feature on the substrate and a second pupil image associated with inspection of a second feature on the substrate, wherein the first and second features have different dose sensitivities; determining a rate of change of the difference in response to a variation of a dose used to form the first and second features; selecting a plurality of pixels within the delta image having a rate of change above a predetermined threshold; and determining the contribution using the determined rate of change and the delta image restricted to the plurality of pixels.

Disclosed is a method of metrology. The method comprises illuminating a radiation onto a substrate; obtaining measurement data relating to at least one measurement of each of one or more structures on the substrate; using a Fourier-related transform to transform the measurement data into a transformed measurement data; and extracting a feature of the substrate from the transformed measurement data, or eliminating an impact of a nuisance parameter.

Methods for calibrating metrology apparatuses and determining a parameter of interest are disclosed. In one arrangement, training data is provided that comprises detected representations of scattered radiation detected by each of plural metrology apparatuses. An encoder encodes each detected representation to provide an encoded representation, and a decoder generates a synthetic detected representation from the respective encoded representation. A classifier estimates from which metrology apparatus originates each encoded representation or each synthetic detected representation. The training data is used to simultaneously perform, in an adversarial relationship relative to each other, a first machine learning process involving the encoder or decoder and a second machine learning process involving the classifier.

A lithography process is described by a design for a lithographic mask and a description of the lithography configuration, which may include the lithography source, collection/illumination optics, projection optics, resist, and/or subsequent fabrication steps. The actual lithography process uses a lithographic mask fabricated from the mask design, which may be different than the nominal mask design. A mask fabrication model models the process for fabricating the lithographic mask from the mask design. Typically, this is an electron-beam (e-beam) process, which includes e-beam exposure of resist on a mask blank, processing of the exposed resist to form patterned resist, and etching of the mask blank with the patterned resist. The mask fabrication model, usually in conjunction with other process models, is used to estimate a result of the lithography process. Mask correction is then applied to the mask design based on the simulation result.

Optically determining whether metallic features in different layers in a structure are in electrical contact with each other. When the metallic features include different metals and/or have different dimensions, which cause one or more resonances in reflected radiation to be detected, the metallic features in the different layers are determined to be in contact or out of contact with each other based on the spectral positions of the one or more resonances. When the metallic features are formed from the same metal and have the same dimensions, the metallic features in the different layers are determined to be in contact with each other responsive to detection of a single resonance associated with the metallic features and out of contact with each other responsive to detection of two or more resonances associated with the metallic features.