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: 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 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: 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 lithographic apparatus applies a pattern onto a substrate using an optical projection system. The apparatus includes an optical level sensor and an associated processor for obtaining a height map of the substrate surface prior to applying the pattern. A controller uses the height map to control focusing with respect to the projection system when applying the pattern. The processor is further arranged to use information relating to processing previously applied to the substrate to define at least first and second regions of the substrate and to vary the manner in which the measurement signals are used to control the focusing, between the first and second regions. For example, an algorithm to calculate height values from optical measurement signals can be varied according to differences in known structure and/or materials. Measurements from certain regions can be selectively excluded from calculation of the height map and/or from use in the focusing.

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 lithography system configured to apply a pattern to a substrate, the system including a lithography apparatus configured to expose a layer of the substrate according to the pattern, and a machine learning controller configured to control the lithography system to optimize a property of the pattern, the machine learning controller configured to be trained on the basis of a property measured by a metrology unit configured to measure the property of the exposed pattern in the layer and/or a property associated with exposing the pattern onto the substrate, and to correct lithography system drift by adjusting one or more selected from: the lithography apparatus, a track unit configured to apply the layer on the substrate for lithographic exposure, and/or a control unit configured to control an automatic substrate flow among the track unit, the lithography apparatus, and the metrology unit.

Abstract: A lithography tool is calibrated using a calibration substrate having a set of first marks distributed across its surface in a known pattern. The tool is operated to apply a pattern comprising a plurality of second marks at various positions on the substrate, each second mark overlying one of the first marks and being subject to an overlay error dependent on an apparatus-specific deviation. The second marks are applied by multiple exposures while the substrate remains loaded in the tool. An operating parameter of the apparatus is varied between the exposures. An overlay error is measured and used to calculate parameter-specific, apparatus-specific calibration data based on knowledge of the parameter variation used for each exposure.

Abstract: A lithographic apparatus applies a pattern onto a substrate using an optical projection system. The apparatus includes an optical level sensor and an associated processor for obtaining a height map of the substrate surface prior to applying the pattern. A controller uses the height map to control focusing with respect to the projection system when applying the pattern. The processor is further arranged to use information relating to processing previously applied to the substrate to define at least first and second regions of the substrate and to vary the manner in which the measurement signals are used to control the focusing, between the first and second regions. For example, an algorithm to calculate height values from optical measurement signals can be varied according to differences in known structure and/or materials. Measurements from certain regions can be selectively excluded from calculation of the height map and/or from use in the focusing.

Abstract: A reticle is loaded into a lithographic apparatus. The apparatus performs measurements on the reticle, so as to calculate alignment parameters for transferring the pattern accurately to substrates. Tests are performed to detect possible contamination of the reticle or its support. Either operation proceeds with a warning, or the patterning of substrates is stopped. The test uses may use parameters of the alignment model itself, or different parameters. The integrity parameters may be compared against reference values reflecting historic measurements, so that sudden changes in a parameter are indicative of contamination. Integrity parameters may be calculated from residuals of the alignment model. In an example, height residuals are used to calculate parameters of residual wedge (Rx?) and residual roll (Ryy?). From these, integrity parameters expressed as height deviations are calculated and compared against thresholds.

Abstract: A lithography system configured to apply a pattern to a substrate, the system including a lithography apparatus configured to expose a layer of the substrate according to the pattern, and a machine learning controller configured to control the lithography system to optimize a property of the pattern, the machine learning controller configured to be trained on the basis of a property measured by a metrology unit configured to measure the property of the exposed pattern in the layer and/or a property associated with exposing the pattern onto the substrate, and to correct lithography system drift by adjusting one or more selected from: the lithography apparatus, a track unit configured to apply the layer on the substrate for lithographic exposure, and/or a control unit configured to control an automatic substrate flow among the track unit, the lithography apparatus, and the metrology unit.

Abstract: A lithography tool is calibrated using a calibration substrate having a set of first marks distributed across its surface in a known pattern. The tool is operated to apply a pattern comprising a plurality of second marks at various positions on the substrate, each second mark overlying one of the first marks and being subject to an overlay error dependent on an apparatus-specific deviation. The second marks are applied by multiple exposures while the substrate remains loaded in the tool. An operating parameter of the apparatus is varied between the exposures. An overlay error is measured and used to calculate parameter-specific, apparatus-specific calibration data based on knowledge of the parameter variation used for each exposure.

Abstract: A reticle is loaded into a lithographic apparatus. The apparatus performs measurements on the reticle, so as to calculate alignment parameters for transferring the pattern accurately to substrates. Tests are performed to detect possible contamination of the reticle or its support. Either operation proceeds with a warning, or the patterning of substrates is stopped. The test uses may use parameters of the alignment model itself, or different parameters. The integrity parameters may be compared against reference values reflecting historic measurements, so that sudden changes in a parameter are indicative of contamination. Integrity parameters may be calculated from residuals of the alignment model. In an example, height residuals are used to calculate parameters of residual wedge (Rx?) and residual roll (Ryy?). From these, integrity parameters expressed as height deviations are calculated and compared against thresholds.

Abstract: An illuminator for a lithographic apparatus, the illuminator including an illumination mode defining element and a plurality of polarization modifiers, the polarization modifiers being moveable into or out of partial intersection with a radiation beam having an angular and spatial distribution as governed by an illumination mode defining element.

Abstract: An illuminator for a lithographic apparatus, the illuminator including an illumination mode defining element and a plurality of polarization modifiers, the polarization modifiers being moveable into or out of partial intersection with a radiation beam having an angular and spatial distribution as governed by an illumination mode defining element.

Abstract: The composite structure made of wood and reinforced concrete can be used for bridges, roofs etc. In a bridge, a plate of reinforced concrete carries the roadway and rests on a truss comprising lower and upper chords, transversal girders and struts made of wood and posts made of reinforced concrete. The lower struts are reinforced with steel ties, follow a bent curve and are anchored in lateral end sections. Forces in the wooden parts all extend along the wood's fibre, which increases the maximum load capacity. The concrete posts allow a simple assembly of the wooden elements. The weight of the construction is low, its load bearing capacity high.

Abstract: The composite structures are composed of wooden members such as girders of laminated wooden boards and members of reinforced concrete such as a plate of reinforced concrete which form for instance a composite load supporting structure designed as pedestrian walkway or similar structure. In order to interconnect the members of wood themselves or to members made of reinforced concrete fitted set bolts or fitted screw bolts, respectively, are arranged in such a manner that they extend through the cross sections of the wooden members and are anchored at least in one cross section of reinforced concrete. The parts consisting of reinforced concrete are poured as a rule after the assembling of the wooden structure such that deviations of dimensions can be equalized or taken up, respectively, quite easily. This allows a combining of the advantages of wooden structures and of structures made of reinforced concrete.

Abstract: In a domed support structure, especially for roof construction, a compression dome is arched in lengthwise direction in a catenary configuration. A tension dome is further arranged either side by side or below the compression dome and is also arched in lengthwise direction in a catenary configuration. The compression and the tension domes are provided with a compression sheating and a tension sheating, respectively. The compression sheating is formed to have a high buckling strength. To this end the compression sheating is arched also in a direction transverse to said lengthwise direction. The arched shape is defined and maintained by corresponding transverse beams which function as stiffening or shaping elements but do not support any load caused by the own weight of the sheating. Such forces are transmitted by the sheating itself directly onto the bearings of the structure at its lengthwise ends.

Abstract: In a domed support framework tension domes and the compression domes are arranged side-by-side, neighboring domes thereby being arched oppositely with respect to one another. The tension domes and compression domes are carried by common intermediate supports and outer supports. Transversely to the doming direction continuous tension elements are spanned between the outer supports, extending in a funicular polygon or in a catenary configuration alternatingly through the tension domes and longitudinal extensions of the compression domes and being guided over the intermediate supports. Each tension element is frictionally connected with reinforcement ribs of the compression domes and with roof from elements of the tensions domes. The tension elements cause deflection forces which in each dome compensate for the opposed arch pressure forces. Thereby a horizontal force balance between neighboring tension and compression domes is achieved by simultaneously transmitting the vertical forces to the supports.

Abstract: A domed support framework or truss comprises, as the roof form elements, wooden members oriented in the direction of doming and interconnected with one another so as to be tension-proof in such direction. The therebetween extending reinforcement ribs are likewise tension-proof wooden or timber elements. At their ends the roof form elements of the tension dome are frictionally connected with a tension element which extends in a polygon or catenary configuration between two supports to the same dome side and is guided over such supports in the compression dome. At that location the tension element is anchored at the extension of the compression dome. This construction compensates the horizontal thrust of the domed support framework, by virtue of the anchoring of the tension elements, without loading the roof form elements in the transverse direction, and thus, renders possible the use of materials which only can be loaded in one direction in tension, such as for instance wood.