Cyclic error reduction in average interferometric position measurements

摘要

The invention features a system and method for reducing the contribution of cyclic errors to an interferometric position measurement of a movable stage. An initial interferometric position measurement of the stage is averaged with at least one additional measurement corresponding to a displacement(s) of the stage from its initial position. The displacements are selected to reduce the overall cyclic error contribution to an average position measurement. As a result, the average position of the stage can be measured more accurately than any of its individual positions. The average position can be used to more accurately determine the average position of an alignment mark on a wafer carried by the stage. Furthermore, the averaging described above can be applied to additional interferometric measurement axes. For example, the averaging can be applied to two laterally displacement measurement axes that are substantially parallel to one another to more accurately determine an average angular orientation of the stage. The result can be used to more correctly determine an Abbe offset error in the average position of an off-axis alignment mark (i.e., an alignment mark that is not aligned with one of the interferometric measurement axes).