Patent ID: 9310695
Filing Date: 2016-04-12
CPC Classification: G02B,G03F

Claim Text:
1. An exposure apparatus which exposes a substrate to light through a reticle, the apparatus comprising: a projection device including an object whose at least one of a position, an attitude and a shape is regulatable, and configured to project light from the reticle onto the substrate; a regulating device configured to regulate the at least one of the position, the attitude and the shape of the object; and a controller configured to obtain an amount of regulation of the object by the regulating device, the amount of regulation being used for regulating a first optical characteristic value of the projection device expressed by a square root of a weighted square sum of wavefront aberration coefficients of light projected by the projection device, and to control the regulating device based on the amount of regulation, wherein the controller is configured, under a constraint including a linear equality and a plurality of linear inequalities, the linear equality being linear with respect to the amount of regulation and indicating the wavefront aberration coefficient, and each of the plurality of linear inequalities being linear with respect to the wavefront aberration coefficient and indicating that, in an orthogonal coordinate system having each coordinate axis that represents the wavefront aberration coefficient, a distance to one of each side and each face of corresponding one of a polygon and a polyhedron, with a center of gravity thereof at an origin of the orthogonal coordinate system, from the origin is not greater than a first variable, to obtain, by linear programming, the amount of regulation which minimizes an objective function, wherein the objective function is the first variable.