Abstract: A method of characterizing the similarity between entities in a set of entities, wherein an entity is selected from substrate layers, substrate fields and substrates. Including determining positions at a plurality of measurement points per entity for providing position data; computing a correlation coefficient for each of a plurality of combinations of entities from the entity set, the correlation coefficients being based on the position data and being representative of the correlation between the associated combination of entities; comparing the correlation coefficients to a threshold amount to determine the extent of similarity between the entities. The invention also relates to a similar method incorporating determining an average value of the computed correlation coefficients, the average value providing a measure of the consistency.

Abstract: A method for characterizing the similarity between measurements on a plurality of entities comprising a first entity and a second entity comprises receiving measurements taken at a plurality of measurement points per entity. A model is defined comprising a stochastic process and a model function having values which depend on a set of parameters and the measurement points. A set (?) of parameters is estimated by fitting the model function to the measurements. Residual data is determined for at least a part of the plurality of measurement points for the first entity and the second entity by subtracting the fitted function from the measurements. A correlation coefficient for the first entity (i?) and the second entity (i?) is estimated based on the determined residual data and the estimated correlation coefficient is used to characterize the similarity between the measurements.

Abstract: A lithographic apparatus is described having a liquid supply system configured to at least partly fill a space between a projection system of the lithographic apparatus and a substrate with liquid, a barrier member arranged to substantially contain the liquid within the space, and one or more elements to control and/or compensate for evaporation of liquid from the substrate.

Abstract: A lithographic apparatus is described having a liquid supply system configured to at least partly fill a space between a projection system of the lithographic apparatus and a substrate with liquid, a barrier member arranged to substantially contain the liquid within the space, and one or more elements to control and/or compensate for evaporation of liquid from the substrate.

Abstract: Variables in each step in a double patterning lithographic process are recorded and characteristics of intermediate features in a double patterning process measured. The final feature is then modeled, and the values of the variables optimized.

Abstract: A system in which deformation of a substrate is monitored during processing of the substrate is described. In one embodiment, the distortion in the substrate is measured after each exposure and processing operation by comparing the position of a plurality of reference marks to values in a database. The substrate may be characterized by measuring positions on the substrate for a number of measurement fields and a number of measurement positions per field, calculating an estimated variance based at least on the number of measurement fields, the number of measurement positions per field, and a number of model parameters, and comparing the calculated estimated variance to a threshold amount to determine a status of the substrate.

Abstract: A method for characterizing the similarity between measurements on a plurality of entities comprising a first entity and a second entity comprises receiving measurements taken at a plurality of measurement points per entity. A model is defined comprising a stochastic process and a model function having values which depend on a set of parameters and the measurement points. A set (?) of parameters is estimated by fitting the model function to the measurements. Residual data is determined for at least a part of the plurality of measurement points for the first entity and the second entity by subtracting the fitted function from the measurements. A correlation coefficient for the first entity (i?) and the second entity (i?) is estimated based on the determined residual data and the estimated correlation coefficient is used to characterize the similarity between the measurements.

Abstract: A method of characterizing the similarity between entities in a set of entities, wherein an entity is selected from substrate layers, substrate fields and substrates. Including determining positions at a plurality of measurement points per entity for providing position data; computing a correlation coefficient for each of a plurality of combinations of entities from the entity set, the correlation coefficients being based on the position data and being representative of the correlation between the associated combination of entities; comparing the correlation coefficients to a threshold amount to determine the extent of similarity between the entities. The invention also relates to a similar method incorporating determining an average value of the computed correlation coefficients, the average value providing a measure of the consistency.

Abstract: The invention is directed to enabling substrate identification by comparing the measured distance between two features on an unidentified substrate with one or more stored distances. The one or more stored distances are the distances intended during the design of one or more substrates. The unidentified substrate is identified by a stored distance that corresponds to the measured distance. The two features are selected from a plurality of features that may be placed on a back side or a front side of a substrate. An optical system is provided for reading the features from the back side or a front side of the substrate.

Abstract: A system in which deformation of a substrate wafer is monitored during processing of the wafer is disclosed. In one embodiment, the distortion in the substrate wafer is measured after each exposure and processing operation by comparing the position of a plurality of reference marks to values in a database.

Abstract: The present invention provides a method of operating a lithographic projection apparatus including calculating a change in aberration effect in the projection system, due to heating effects, as a function of time, based on at least one set of predetermined parameters; and adjusting the lithographic projection apparatus to compensate for the calculated change in aberration effect. The parameters are obtained by a calibration operation, which may comprise a coarse calibration followed by at least one fine calibration. The coarse calibration yields a first estimate of at least a subset of the parameters. The estimate can be used as an input for a subsequent fine calibration. The calibration may also comprise a single fine calibration.

Abstract: The present invention provides a method of operating a lithographic projection apparatus including calculating a change in aberration effect in the projection system, due to heating effects, as a function of time, based on at least one set of predetermined parameters; and adjusting the lithographic projection apparatus to compensate for the calculated change in aberration effect.