Patent ID: 8625069

Claim:
An exposure apparatus for performing an exposure of a substrate to radiant energy via a pattern formed on a mask, the apparatus comprising: a projection optical system configured to project radiant energy from the mask onto the substrate; a first stage configured to hold the mask; a second stage configured to hold the substrate; and a controller configured to obtain, with respect to each of image heights, a coefficient of a term, including a time constant, in an equation for obtaining an aberration of the projection optical system that varies with time via the exposure, based on a distribution of a transmittance of the pattern over the image heights, and to control a drive of at least one of an optical element included in the projection optical system, the first stage and the second stage so as to reduce the aberration obtained with respect to each of the image heights, wherein the controller is configured to obtain the transmittance with respect to each of a plurality of regions obtained by dividing an exposure region of the pattern, to perform multiplication of a previously-obtained aberration of the projection optical system generated with respect to each of the image heights via the exposure with a unit exposure energy through each of the plurality of regions, by a weighting coefficient that is based on the transmittance of corresponding one of the plurality of regions, and to obtain the coefficient of the term, with respect to each of the image heights, by a sum of values obtained by the multiplication with respect to the plurality of regions.