Patent ID: 8102503
Filing Date: 2012-01-24
Classification: G03F

Abstract:
1. An exposure apparatus for exposing a substrate to radiant energy via a pattern of a reticle, the apparatus comprising: a projection optical system including an optical element of which at least one of a position, orientation, and shape can be regulated, and configured to project light from the pattern onto the substrate; a regulator configured to regulate the at least one of the position, orientation, and shape of the optical element; and a controller configured to calculate, using quadratic programming, a regulation amount of the optical element that minimizes a value of an objective function expressed by a first dummy variable serving as an upper limit of a linear optical characteristic value of the projection optical system that is expressed by a linear function of a regulation amount of the optical element by the regulator, and a second dummy variable serving as an upper limit of a quadratic optical characteristic value of the projection optical system that is expressed by a quadratic function of a regulation amount of the optical element by the regulator, and to control the regulator based on the calculated regulation amount.