Abstract: A method and system for predicting complex electric field images with a parameterized model are described. A latent space representation of a complex electric field image is determined based on dimensional data in a latent space of the parameterized model for a given input to the parameterized model. The given input may be a measured amplitude (e.g., intensity) associated with the complex electric field image. The complex electric field image is predicted based on the latent space representation of the complex electric field image. The predicted complex electric field image includes an amplitude and a phase. The parameterized model comprises encoder-decoder architecture. In some embodiments, determining the latent space representation of the electric field image comprises minimizing a function constrained by a set of electric field images that could be predicted by the parameterized model based on the dimensional data in the latent space and the given input.

Abstract: A structure including a first grating at a first pitch in a first layer of a multi-layer stack structure; and a second grating at a second pitch in a second layer of the multi-layer stack structure, wherein, when illuminated by incident radiation, scattered radiation from the measurement structure forms an interference pattern at a detector, wherein the interference pattern includes at least a first Moire interference component and a second Moire interference component. A method for measuring a parameter of interest in a manufacturing process based on the measurement structure, which includes obtaining an interference pattern for the measurement structure, identifying a first Moire interference component and identifying a second Moire interference component in the interference pattern; and determining the measurement of a parameter of interest based on the first Moire interference component and the second Moire interference component.

Abstract: A method includes obtaining, for each particular feature of a plurality of features of a device pattern of a substrate being created using a patterning process, a modelled or simulated relation of a parameter of the patterning process between a measurement target for the substrate and the particular feature; and based on the relation and measured values of the parameter from the metrology target, generating a distribution of the parameter across at least part of the substrate for each of the features, the distribution for use in design, control or modification of the patterning process.

Abstract: Disclosed is a method for a metrology measurement on an area of a substrate comprising at least a portion of a target structure. The method comprises receiving a radiation information representing a portion of radiation scattered by the are, and using a filter in a Fourier domain for removing or suppressing at least a portion of the received radiation information that does not relate to radiation that has been scattered by the target structure for obtaining a filtered radiation information for the metrology measurement, wherein characteristics of the filter are based on target information about the target structure.

Abstract: Described is a metrology system for determining a characteristic of interest relating to at least one structure on a substrate, and associated method. The metrology system comprises a processor being configured to computationally determine phase and amplitude information from a detected characteristic of scattered radiation having been reflected or scattered by the at least one structure as a result of illumination of said at least one structure with illumination radiation in a measurement acquisition, and use the determined phase and amplitude to determine the characteristic of interest.

Abstract: Disclosed is an illumination module for a metrology device. The illumination module comprises a configurable illumination module operable to provide measurement illumination over a configurable range of illumination angles, a grating light valve module for controllably configuring a spectral configuration of the measurement illumination; and a controller operable to control the configurable illumination module and the grating light valve module such that the spectral configuration of the measurement illumination is varied in dependence with illumination angle within the range of illumination angles so as to obtain a desired detection condition for detection of diffracted radiation from a diffractive structure resultant from a measurement of the diffractive structure using the measurement illumination.

Abstract: Disclosed is target arrangement comprising a first target region having at least a first pitch and at least a second pitch a second target region having at least a third pitch, wherein a portion of the first target region having a second pitch overlaps with a portion of the second target region.

Abstract: Some embodiments of this disclosure can improve measurement of target mark asymmetry in metrology apparatuses for improving accuracy in measurements performed in conjunction with lithographic processes. For example, a metrology system can include a projection system configured to receive a plurality of diffraction orders diffracted from a target on a substrate. The metrology system can further include a detector array and a waveguide device configured to transmit the plurality of diffraction orders between the projection system and the detector array. The detector array can be configured to detect each of the plurality of diffraction orders spatially separate from other ones of the plurality of diffraction orders.

Abstract: A method including: obtaining an image of at least part of a substrate, wherein the image includes at least one feature manufactured on the substrate by a manufacturing process including a lithographic process and one or more further processes; determining one or more image-related metrics in dependence on a contour determined from the image, wherein one of the one or more image-related metrics is an edge placement error, EPE, of the at least one feature; and determining one or more control parameters of the lithographic process and/or the one or more further processes in dependence on the edge placement error, wherein at least one control parameter is determined so as to minimize the edge placement error of the at least one feature.

Abstract: Disclosed is a method of determining a characteristic of interest relating to a structure on a substrate formed by a lithographic process, the method comprising: obtaining an input image of the structure; and using a trained neural network to determine the characteristic of interest from said input image. Also disclosed is a reticle comprising a target forming feature comprising more than two sub-features each having different sensitivities to a characteristic of interest when imaged onto a substrate to form a corresponding target structure on said substrate. Related methods and apparatuses are also described.

Abstract: Disclosed is a method of determining a characteristic of interest relating to a structure on a substrate formed by a lithographic process, the method comprising: obtaining an input image of the structure; and using a trained neural network to determine the characteristic of interest from said input image. Also disclosed is a reticle comprising a target forming feature comprising more than two sub-features each having different sensitivities to a characteristic of interest when imaged onto a substrate to form a corresponding target structure on said substrate. Related methods and apparatuses are also described.

Abstract: Disclosed is a method comprising measuring radiation reflected from a metrology target and decomposing the measured radiation in components, for example Fourier components or spatial components. Further, there is disclosed a recipe selection method which provides an algorithm to select a parameter of the metrology apparatus based on re-calculated dependencies of 5 the measured radiation based on single components.

Abstract: Described is a metrology system for determining a characteristic of interest relating to at least one structure on a substrate, and associated method. The metrology system comprises a processor being configured to computationally determine phase and amplitude information from a detected characteristic of scattered radiation having been reflected or scattered by the at least one structure as a result of illumination of said at least one structure with illumination radiation in a measurement acquisition, and use the determined phase and amplitude to determine the characteristic of interest.

Abstract: Disclosed is a method for obtaining a computationally determined interference electric field describing scattering of radiation by a pair of structures comprising a first structure and a second structure on a substrate. The method comprises determining a first electric field relating to first radiation scattered by the first structure; determining a second electric field relating to second radiation scattered by the second structure; and computationally determining the interference of the first electric field and second electric field, to obtain a computationally determined interference electric field.

Abstract: A target for determining a performance parameter of a lithographic process, the target comprising a first sub-target formed by at least two overlapping gratings, wherein the underlying grating of the first sub-target has a first pitch and the top lying grating of the first sub-target has a second pitch, at least a second sub-target formed by at least two overlapping gratings, wherein the underlying grating of the second sub-target has a third pitch and the top lying grating of the second sub-target has a fourth pitch.

Abstract: Described is a metrology system for determining a characteristic of interest relating to at least one structure on a substrate, and associated method. The metrology system comprises a processor being configured to computationally determine phase and amplitude information from a detected characteristic of scattered radiation having been reflected or scattered by the at least one structure as a result of illumination of said at least one structure with illumination radiation in a measurement acquisition, and use the determined phase and amplitude to determine the characteristic of interest.

Abstract: A patterning device for patterning product structures onto a substrate and an associated substrate patterned using such a patterning device. The patterning device includes target patterning elements for patterning at least one target from which a parameter of interest can be inferred. The patterning device includes product patterning elements for patterning the product structures. The target patterning elements and product patterning elements are configured such that the at least one target has at least one boundary which is neither parallel nor perpendicular with respect to the product structures on the substrate.

Abstract: A method for determining a metric of a feature on a substrate obtained by a semiconductor manufacturing process involving a lithographic process, the method including: obtaining an image of at least part of the substrate, wherein the image includes at least the feature; determining a contour of the feature from the image; determining a plurality of segments of the contour; determining respective weights for each of the plurality of segments; determining, for each of the segments, an image-related metric; and determining the metric of the feature in dependence on the weights and the calculated image-related metric of each of the segments.

Abstract: A method of determining matching performance between tools used in semiconductor manufacture and associated tools is described. The method includes obtaining a plurality of data sets related to a plurality of tools and a representation of the data sets in a reduced space having a reduced dimensionality. A matching metric and/or matching correction is determined based on matching the reduced data sets in the reduced space.

Abstract: A method including: obtaining an image of at least part of a substrate, wherein the image includes at least one feature of a device being manufactured in a layer on the substrate; obtaining a layout of features associated with a previous layer adjacent to the layer on the substrate; calculating one or more image-related metrics in dependence on: 1) a contour determined from the image including the at least one feature and 2) the layout; and determining one or more control parameters of a lithographic apparatus and/or one or more further processes in a manufacturing process of the device in dependence on the one or more image-related metrics, wherein at least one of the control parameters is determined to modify the geometry of the contour in order to improve the one or more image-related metrics.