A method of inferring a value for a first processing parameter of a lithographic process, the first processing parameter being subject to a coupled dependency of a second processing parameter. The method includes determining a first metric and a second metric from measurement data, each of the first metric and second metric being dependent on both the first processing parameter and second processing parameter The first metric shows a stronger dependence to the first processing parameter than the second processing parameter and the second metric shows a stronger dependence to the second processing parameter than the first processing parameter. The value for the first processing parameter is inferred from the first and second metrics.

A method including: computing a value of a first variable of a pattern of, or for, a substrate processed by a patterning process by combining a fingerprint of the first variable on the substrate and a certain value of the first variable; and determining a value of a second variable of the pattern based at least in part on the computed value of the first variable.

A system and method of measuring misregistration in the manufacture of semiconductor device wafers is disclosed. A first layer and the second layer are imaged in a first orientation with a misregistration metrology tool employing light having at least one first wavelength that causes images of both the first periodic structure and the second periodic structure to appear in at least two planes that are mutually separated by a perpendicular distance greater than 0.2 μm. The first layer and the second layer are imaged in a second orientation with the misregistration metrology tool employing light having the at least one first wavelength that causes images of both the first periodic structure and the second periodic structure to appear in the at least two planes. At least one parameter of the misregistration metrology tool is adjusted based on the resulting analysis.

An exposure method includes reading data indicating a relation between parameters and a wavelength difference between a first pulse laser beam and a second pulse laser beam, the parameters being related to exposure conditions under which a semiconductor wafer is exposed to a plurality of pulse laser beams including the first and second pulse laser beams, determining a target value of the wavelength difference based on the data and command values of the parameters; determining a first wavelength of the first pulse laser beam and a second wavelength of the second pulse laser beam based on the target value; outputting a wavelength setting signal to a laser apparatus to cause emission of the pulse laser beams including the first pulse laser beam having the first wavelength and the second pulse laser beam having the second wavelength; and exposing the semiconductor wafer to the pulse laser beams.

A focus-sensitive metrology target may be formed and read-out by a fabrication tool. A resulting overlay signal may be translated into a focus offset by comparison to a previously-determined calibration curve. One or more translated signals may be fed back to the fabrication tool for focus correction or used for prediction of on-device overlay (correction of overlay metrology results). In one embodiment, focus and overlay may be measured using a single target, where one portion of the target is formed on a first layer and includes a focus-sensitive design, and where another portion of the target is formed on a second layer and includes a relatively less focus-sensitive design. In some embodiments, a relative difference in focus response may be used to estimate an impact of focus error on device overlay and calculate non-zero offset contributions.

A method for controlling a lithographic apparatus, and associated apparatuses. The method is configured to provide product structures to a substrate in a lithographic process and includes determining optimization data. The optimization data includes measured and/or simulated data of at least one performance parameter associated with the product structures and/or their arrangement which are to be applied to the substrate in the lithographic process. Substrate specific metrology data as measured and/or modeled before the providing of product structures to the substrate is determined, the substrate specific metrology data including metrology data relating to a characteristic of the substrate to which the structures are being applied and/or the state of the lithographic apparatus at the time that the structures are applied to the substrate. The method further includes optimizing control of the lithographic apparatus during the lithographic process based on the optimization data and the substrate specific metrology data.

A method includes: providing a workpiece to a semiconductor apparatus, the workpiece comprising a material layer, wherein the material layer includes a plurality of areas extending along a first axis; scanning the workpiece in a first direction along the first axis to generate first topography measurement data; scanning the workpiece in a second direction along the first axis to generate second topography measurement data; and performing an exposure operation on the material layer according to the first topography measurement data and the second topography measurement data.

A method for improving the yield of a lithographic process, the method including: determining a parameter fingerprint of a performance parameter across a substrate, the parameter fingerprint including information relating to uncertainty in the performance parameter; determining a process window fingerprint of the performance parameter across the substrate, the process window being associated with an allowable range of the performance parameter; and determining a probability metric associated with the probability of the performance parameter being outside an allowable range. Optionally a correction to the lithographic process is determined based on the probability metric.

A method includes: providing a workpiece to a semiconductor apparatus, the workpiece including a material layer, wherein the material layer includes a first strip having a first plurality of exposure fields configured to be exposed in a first direction and a second plurality of exposure fields configured to be exposed in a second direction different from the first direction; scanning the first strip along a first scan route in the first direction to generate first topography measurement data; scanning the first strip along a second scan route in the second direction to generate second topography measurement data; and exposing the first plurality of exposure fields according to the first topography measurement data and exposing the second plurality of exposure fields according to the second topography measurement data.

An optical detection device of detecting a distance relative to a target object includes a substrate, an optical sensor and a processor. The optical sensor is disposed on the substrate and adapted to capture an image about the target object. The processor is disposed on the substrate and electrically connected with the optical sensor. The processor is adapted to mark a first region and a second region within the image for acquiring first quantity of the first region and second quantity of the second region, and compare the first quantity with the second quantity for determining whether the distance is varied to a predefined condition.