Abstract: A method including modeling high resolution patterning error information of a patterning process involving a patterning device in a patterning system using an error mathematical model, modeling a correction of the patterning error that can be made by a patterning device modification tool using a correction mathematical model, the correction mathematical model having substantially the same resolution as the error mathematical model, and determining modification information for modifying the patterning device using the patterning device modification tool by applying the correction mathematical model to the patterning error information modeled by the error mathematical model.

Abstract: A method including: obtaining information regarding a patterning error in a patterning process involving a patterning device; determining a nonlinearity over a period of time introduced by modifying the patterning error by a modification apparatus according to the patterning error information; and determining a patterning error offset for use with the modification apparatus based on the determined nonlinearity.

Abstract: A method including obtaining a measurement and/or simulation result of a pattern after being processed by an etch tool of a patterning system, determining a patterning error due to an etch loading effect based on the measurement and/or simulation result, and creating, by a computer system, modification information for modifying a patterning device and/or for adjusting a modification apparatus upstream in the patterning system from the etch tool based on the patterning error, wherein the patterning error is converted to a correctable error and/or reduced to a certain range, when the patterning device is modified according to the modification information and/or the modification apparatus is adjusted according to the modification information.

Abstract: A method including identifying that an area of a first substrate includes a hotspot based on a measurement and/or simulation result pertaining to a patterning device in a patterning system, determining first error information at the hotspot, and creating first modification information for modifying the patterning device (e.g., the information to be transmitted with the patterning device to a patterning modification tool) based on the first error information to obtain a modified patterning device.

Abstract: In a lithographic process, product units such as semiconductor wafers are subjected to lithographic patterning operations and chemical and physical processing operations. Alignment data or other measurements are made at stages during the performance of the process to obtain object data representing positional deviation or other parameters measured at points spatially distributed across each unit. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose a set of vectors representing the units in said multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using the component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.

Abstract: Disclosed is a method of measuring a target, associated substrate comprising a target and computer program. The target comprises overlapping first and second periodic structures. The method comprising illuminating the target with measurement radiation and detecting the resultant scattered radiation. The pitch of the second periodic structure is such, relative to a wavelength of the measurement radiation and its angle of incidence on the target, that there is no propagative non-zeroth diffraction at the second periodic structure resultant from said measurement radiation being initially incident on said second periodic structure. There may be propagative non-zeroth diffraction at the second periodic structure which comprises further diffraction of one or more non-zero diffraction orders resultant from diffraction by the first periodic structure.

Abstract: A lithographic apparatus applies a pattern repeatedly to target portions across a substrate. Prior to applying the pattern an alignment sensor measures positions of marks in the plane of the substrate and a level sensor measures height deviations in a direction normal to the plane of the substrate. The apparatus applies the pattern to the substrate while positioning the applied pattern using the positions measured by the alignment sensor and using the height deviations measured by the level sensor. The apparatus is further arranged to calculate and apply corrections in the positioning of the applied pattern, based on derivatives of the measured height deviations. The corrections may be calculated on an intrafield and/or interfield basis. The corrections may be based on changes between the observed height deviations and height deviations measured previously on the same substrate.

Abstract: A method to form on a substrate a first target comprising a first feature and a second target comprising a second feature, wherein the forming of the targets comprises applying the first feature and the second feature to the substrate by projection of a radiation beam through a production patterning device installed in a lithographic apparatus, the features corresponding to one or more features of the patterning device, and controlling a configuration of the lithographic apparatus to induce an aberration component, such that the first feature is applied to the substrate using a first value of an induced aberration component and the second feature is applied to the substrate using a second, different value of the induced aberration component; measuring a property of the targets; and using the measurements to determine a sensitivity of the property of the targets to changes in value of the induced aberration component.

Abstract: In a lithographic process, product units such as semiconductor wafers are subjected to lithographic patterning operations and chemical and physical processing operations. Alignment data or other measurements are made at stages during the performance of the process to obtain object data representing positional deviation or other parameters measured at points spatially distributed across each unit. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose a set of vectors representing the units in said multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using the component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.

Abstract: Disclosed is a method of measuring a parameter of a lithographic process, and associated computer program and apparatuses. The method comprises providing a plurality of target structures on a substrate, each target structure comprising a first structure and a second structure on different layers of the substrate. Each target structure is measured with measurement radiation to obtain a measurement of target asymmetry in the target structure, the target asymmetry comprising an overlay contribution due to misalignment of the first and second structures, and a structural contribution due to structural asymmetry in at least the first structure. A structural asymmetry characteristic relating to the structural asymmetry in at least the first structure of each target structure is obtained, the structural asymmetry characteristic being independent of at least one selected characteristic of the measurement radiation.

Abstract: Disclosed is a method of measuring a target, associated substrate comprising a target and computer program. The target comprises overlapping first and second periodic structures. The method comprising illuminating the target with measurement radiation and detecting the resultant scattered radiation. The pitch of the second periodic structure is such, relative to a wavelength of the measurement radiation and its angle of incidence on the target, that there is no propagative non-zeroth diffraction at the second periodic structure resultant from said measurement radiation being initially incident on said second periodic structure. There may be propagative non-zeroth diffraction at the second periodic structure which comprises further diffraction of one or more non-zero diffraction orders resultant from diffraction by the first periodic structure.

Abstract: A deformation pattern recognition method including providing one or more deformation patterns, each deformation pattern being associated with a deformation of a substrate that may be caused by a processing device; transferring a first pattern to a substrate, the first pattern including at least N alignment marks, wherein each alignment mark is positioned at a respective predefined nominal position; processing the substrate; measuring a position of N alignment marks and determining an alignment mark displacement for the N alignment marks by comparing the respective nominal position with the respective measured position; fitting at least one deformation pattern to the measured alignment mark displacements; determining an accuracy value for each fitted deformation pattern, the accuracy value being representative of the accuracy of the corresponding fit; using the determined accuracy value, determining whether an associated deformation pattern is present.

Abstract: A method of devising a target arrangement, and associated target and reticle. The target includes a plurality of gratings, each grating having a plurality of substructures. The method includes: defining a target area; locating the substructures within the target area so as to form the gratings; and locating assist features at the periphery of the gratings, the assist features being configured to reduce measured intensity peaks at the periphery of the gratings. The method may include an optimization process including modelling a resultant image obtained by inspection of the target using a metrology process; and evaluating whether the target arrangement is optimized for detection using a metrology process.

Abstract: A substrate has a plurality of overlay gratings formed thereon by a lithographic process. Each overlay grating has a known overlay bias. The values of overlay bias include for example two values in a region centered on zero and two values in a region centered on P/2, where P is the pitch of the gratings. Overlay is calculated from asymmetry measurements for the gratings using knowledge of the different overlay bias values, each of the overall asymmetry measurements being weighted by a corresponding weight factor. Each one of the weight factors represents a measure of feature asymmetry within the respective overlay grating. The calculation is used to improve subsequent performance of the measurement process, and/or the lithographic process. Some of the asymmetry measurements may additionally be weighted by a second weight factor in order to eliminate or reduce the contribution of phase asymmetry to the overlay.

Abstract: An apparatus to measure the position of a mark, the apparatus including an objective lens to direct radiation on a mark using radiation supplied by an illumination arrangement; an optical arrangement to receive radiation diffracted and specularly reflected by the mark, wherein the optical arrangement is configured to provide a first image and a second image, the first image being formed by coherently adding specularly reflected radiation and positive diffraction order radiation and the second image being formed by coherently adding specularly reflected radiation and negative diffraction order radiation; and a detection arrangement to detect variation in an intensity of radiation of the first and second images and to calculate a position of the mark in a direction of measurement therefrom.

Abstract: A lithographic apparatus applies a pattern repeatedly to target portions across a substrate. Prior to applying the pattern an alignment sensor measures positions of marks in the plane of the substrate and a level sensor measures height deviations in a direction normal to the plane of the substrate. The apparatus applies the pattern to the substrate while positioning the applied pattern using the positions measured by the alignment sensor and using the height deviations measured by the level sensor. The apparatus is further arranged to calculate and apply corrections in the positioning of the applied pattern, based on derivatives of the measured height deviations. The corrections may be calculated on an intrafield and/or interfield basis. The corrections may be based on changes between the observed height deviations and height deviations measured previously on the same substrate.

Abstract: In a lithographic process, product units such as semiconductor wafers are subjected to lithographic patterning operations and chemical and physical processing operations. Alignment data or other measurements are made at stages during the performance of the process to obtain object data representing positional deviation or other parameters measured at points spatially distributed across each unit. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose a set of vectors representing the units in said multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using the component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.

Abstract: Disclosed is a method of measuring a parameter of a lithographic process, and associated computer program and apparatuses. The method comprises providing a plurality of target structures on a substrate, each target structure comprising a first structure and a second structure on different layers of the substrate. Each target structure is measured with measurement radiation to obtain a measurement of target asymmetry in the target structure, the target asymmetry comprising an overlay contribution due to misalignment of the first and second structures, and a structural contribution due to structural asymmetry in at least the first structure. A structural asymmetry characteristic relating to the structural asymmetry in at least the first structure of each target structure is obtained, the structural asymmetry characteristic being independent of at least one selected characteristic of the measurement radiation.

Abstract: A substrate is loaded onto a substrate support of a lithographic apparatus, after which the apparatus measures locations of substrate alignment marks. These measurements define first correction information allowing the apparatus to apply a pattern at one or more desired locations on the substrate. Additional second correction information is used to enhance accuracy of pattern positioning, in particular to correct higher order distortions of a nominal alignment grid. The second correction information may be based on measurements of locations of alignment marks made when applying a previous pattern to the same substrate. The second correction information may alternatively or in addition be based on measurements made on similar substrates that have been patterned prior to the current substrate.

Abstract: A diffraction measurement target that has at least a first sub-target and at least a second sub-target, and wherein (1) the first and second sub-targets each include a pair of periodic structures and the first sub-target has a different design than the second sub-target, the different design including the first sub-target periodic structures having a different pitch, feature width, space width, and/or segmentation than the second sub-target periodic structure or (2) the first and second sub-targets respectively include a first and second periodic structure in a first layer, and a third periodic structure is located at least partly underneath the first periodic structure in a second layer under the first layer and there being no periodic structure underneath the second periodic structure in the second layer, and a fourth periodic structure is located at least partly underneath the second periodic structure in a third layer under the second layer.