Patent ID: 8365104
Filing Date: 2013-01-29
Classification: G03F,G06F

Abstract:
1. A method for producing data of mask which is used when the mask is illuminated by an illumination apparatus and an image of a pattern of the mask is projected onto a substrate through a projection optical system, thus forming a target pattern on the substrate, the method comprising: obtaining a two-dimensional transmission cross coefficient, which is a two-dimensional function of a shift of a complex conjugate function, by convolving a product of a function representing a light intensity distribution formed by the illumination apparatus on a pupil plane of the projection optical system and a pupil function of the projection optical system with a coordinate of an origin being fixed, with a function in which the complex conjugate function of the pupil function is shifted; calculating an approximate aerial image, which is an approximation of an aerial image on an image plane of the projection optical system, based on the two-dimensional transmission cross coefficient and data of a pattern on an object plane of the projection optical system, the calculation using one or more components of the aerial image; and producing data of the pattern of the mask based on the approximate aerial image.