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 wafer. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose the set of said vectors representing the wafers in said multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using said component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.
Abstract:
Offline metrology measurements 804 are performed on wafer substrates that have been subjected to lithographic processing. Model parameters 808 are calculated 806 by fitting the measurements to an extended high-order substrate model defined 802 using a combination of basis functions that include an edge basis function related to a substrate edge. The radial edge basis function may be expressed in terms of distance from a substrate edge. The edge basis function may for example be an exponential decay function or a rational function. Lithographic processing of a subsequent substrate is controlled 820 using the calculated high-order substrate model parameters 808, in combination 81 8 with low-order substrate model parameters 816 obtained by fitting 814 inline measurements 812 to a low order model 810.