Abstract: Measurements are obtained from locations across a substrate before or after performing a lithographic process step. Examples of such measurements include alignment measurements made prior to applying a pattern to the substrate, and measurements of a performance parameter such as overlay, after a pattern has been applied. A set of measurement locations is selected from among all possible measurement locations. At least a subset of the selected measurement locations are selected dynamically, in response to measurements obtained using a preliminary selection of measurement locations. Preliminary measurements of height can be used to select measurement locations for alignment. In another aspect, outlier measurements are detected based on supplementary data such as height measurements or historic data.

Abstract: A method for determining a model to predict overlay data associated with a current substrate being patterned. The method involves obtaining (i) a first data set associated with one or more prior layers and/or current layer of the current substrate, (ii) a second data set including overlay metrology data associated with one or more prior substrates, and (iii) de-corrected measured overlay data associated with the current layer of the current substrate; and determining, based on (i) the first data set, (ii) the second data set, and (iii) the de-corrected measured overlay data, values of a set of model parameters associated with the model such that the model predicts overlay data for the current substrate, wherein the values are determined such that a cost function is minimized, the cost function comprising a difference between the predicted data and the de-corrected measured overlay data.

Abstract: A method for monitoring a lithographic process, and associated lithographic apparatus. The method includes obtaining height variation data relating to a substrate supported by a substrate support and fitting a regression through the height variation data, the regression approximating the shape of the substrate; residual data between the height variation data and the regression is determined; and variation of the residual data is monitored over time. The residual data may be deconvolved based on known features of the substrate support.

Abstract: A method, involving determining a first distribution of a first parameter associated with an error or residual in performing a device manufacturing process; determining a second distribution of a second parameter associated with an error or residual in performing the device manufacturing process; and determining a distribution of a parameter of interest associated with the device manufacturing process using a function operating on the first and second distributions. The function may include a correlation.

Abstract: A method, involving determining a first distribution of a first parameter associated with an error or residual in performing a device manufacturing process; determining a second distribution of a second parameter associated with an error or residual in performing the device manufacturing process; and determining a distribution of a parameter of interest associated with the device manufacturing process using a function operating on the first and second distributions. The function may include a correlation.

Abstract: A system comprises a topography measurement system configured to determine a respective height for each of a plurality of locations on a substrate; and a processor configured to: determine a height map for the substrate based on the determined heights for the plurality of locations; and determine at least one alignment parameter for the substrate by comparing the height map and a reference height map, wherein the reference height map comprises or represents heights for a plurality of locations on a reference substrate portion.

Abstract: Measurements are obtained from locations across a substrate before or after performing a lithographic process step. Examples of such measurements include alignment measurements made prior to applying a pattern to the substrate, and measurements of a performance parameter such as overlay, after a pattern has been applied. A set of measurement locations is selected from among all possible measurement locations. At least a subset of the selected measurement locations are selected dynamically, in response to measurements obtained using a preliminary selection of measurement locations. Preliminary measurements of height can be used to select measurement locations for alignment. In another aspect, outlier measurements are detected based on supplementary data such as height measurements or historic data.

Abstract: A method of determining a parameter of a lithographic apparatus, wherein the method includes providing first height variation data of a first substrate, providing first performance data of a first substrate, and determining a model based on the first height variation data and the first performance data. The method further includes obtaining second height variation data of a second substrate, inputting the second height variation data to the model, and determining second performance data of the second substrate by running the model. Based on the second performance data, the method determines a parameter of the apparatus.

Abstract: Measurements are obtained from locations across a substrate before or after performing a lithographic process step. Examples of such measurements include alignment measurements made prior to applying a pattern to the substrate, and measurements of a performance parameter such as overlay, after a pattern has been applied. A set of measurement locations is selected from among all possible measurement locations. At least a subset of the selected measurement locations are selected dynamically, in response to measurements obtained using a preliminary selection of measurement locations. Preliminary measurements of height can be used to select measurement locations for alignment. In another aspect, outlier measurements are detected based on supplementary data such as height measurements or historic data.

Abstract: A method, involving determining a first distribution of a first parameter associated with an error or residual in performing a device manufacturing process; determining a second distribution of a second parameter associated with an error or residual in performing the device manufacturing process; and determining a distribution of a parameter of interest associated with the device manufacturing process using a function operating on the first and second distributions. The function may include a correlation.

Abstract: Corrections are calculated for use in controlling a lithographic apparatus. Using a metrology apparatus a performance parameter is measured at sampling locations across one or more substrates to which a lithographic process has previously been applied. A process model is fitted to the measured performance parameter, and an up-sampled estimate is provided for process-induced effects across the substrate. Corrections are calculated for use in controlling the lithographic apparatus, using an actuation model and based at least in part on the fitted process model. For locations where measurement data is available, this is added to the estimate to replace the process model values. Thus, calculation of actuation corrections is based on a modified estimate which is a combination of values estimated by the process model and partly on real measurement data.

Abstract: A method, involving determining a first distribution of a first parameter associated with an error or residual in performing a device manufacturing process; determining a second distribution of a second parameter associated with an error or residual in performing the device manufacturing process; and determining a distribution of a parameter of interest associated with the device manufacturing process using a function operating on the first and second distributions. The function may include a correlation.

Abstract: A method for monitoring a lithographic process, and associated lithographic apparatus. The method includes obtaining height variation data relating to a substrate supported by a substrate support and fitting a regression through the height variation data, the regression approximating the shape of the substrate; residual data between the height variation data and the regression is determined; and variation of the residual data is monitored over time. The residual data may be deconvolved based on known features of the substrate support.

Abstract: A first substrate 2002 has a calibration pattern applied to a first plurality of fields 2004 by a lithographic apparatus. Further substrates 2006, 2010 have calibration patterns applied to further pluralities of fields 2008, 2012. The different pluralities of fields have different sizes and/or shapes and/or positions. Calibration measurements are performed on the patterned substrates 2002, 2006, 2010 and used to obtain corrections for use in controlling the apparatus when applying product patterns to subsequent substrates. Measurement data representing the performance of the apparatus on fields of two or more different dimensions (fields 2004, 2008, 2012 in this example) is gathered together in a database 2013 and used to synthesize the information needed to calibrate the apparatus for a new size. Calibration data is also obtained for different scan and step directions.

Abstract: A method for monitoring a lithographic process, and associated lithographic apparatus. The method includes obtaining height variation data relating to a substrate supported by a substrate support and fitting a regression through the height variation data, the regression approximating the shape of the substrate; residual data between the height variation data and the regression is determined; and variation of the residual data is monitored over time. The residual data may be deconvolved based on known features of the substrate support.

Abstract: A first substrate 2002 has a calibration pattern applied to a first plurality of fields 2004 by a lithographic apparatus. Further substrates 2006, 2010 have calibration patterns applied to further pluralities of fields 2008, 2012. The different pluralities of fields have different sizes and/or shapes and/or positions. Calibration measurements are performed on the patterned substrates 2002, 2006, 2010 and used to obtain corrections for use in controlling the apparatus when applying product patterns to subsequent substrates. Measurement data representing the performance of the apparatus on fields of two or more different dimensions (fields 2004, 2008, 2012 in this example) is gathered together in a database 2013 and used to synthesize the information needed to calibrate the apparatus for a new size. Calibration data is also obtained for different scan and step directions.

Abstract: A lithographic apparatus is a machine that applies a desired pattern onto a substrate, usually onto a target portion of the substrate. A functional relationship between local height deviations across a substrate and focus information, such as a determined focus amount, is determined for a substrate, e.g., a reference substrate. Height deviations are subsequently measured for another substrate, e.g. a production substrate. The height deviations for the subsequent substrate and the functional relationship are used to determine predicted focus information for the subsequent substrate. The predicted focus information is then used to control the lithographic apparatus to apply a product pattern to the product substrate.

Abstract: A system comprises a topography measurement system configured to determine a respective height for each of a plurality of locations on a substrate; and a processor configured to: determine a height map for the substrate based on the determined heights for the plurality of locations; and determine at least one alignment parameter for the substrate by comparing the height map and a reference height map, wherein the reference height map comprises or represents heights for a plurality of locations on a reference substrate portion.

Abstract: A first substrate (2002) has a calibration pattern applied to a first plurality of fields (2004) by a lithographic apparatus. Further substrates (2006, 2010) have calibration patterns applied to further pluralities of fields (2008, 2012). The different pluralities of fields have different sizes and/or shapes and/or positions. Calibration measurements are performed on the patterned substrates (2002, 2006, 2010) and used to obtain corrections for use in controlling the apparatus when applying product patterns to subsequent substrates. Measurement data representing the performance of the apparatus on fields of two or more different dimensions (2004, 2008, 2012) is gathered together in a database (2013) and used to synthesize the information needed to calibrate the apparatus for a new size. Calibration data is also obtained for different scan and step directions.

Abstract: A method for monitoring a lithographic process, and associated lithographic apparatus. The method includes obtaining height variation data relating to a substrate supported by a substrate support and fitting a regression through the height variation data, the regression approximating the shape of the substrate; residual data between the height variation data and the regression is determined; and variation of the residual data is monitored over time. The residual data may be deconvolved based on known features of the substrate support.