Patent ID: 7224459

Claim:
An exposure apparatus for exposing each of an array of regions on a substrate to a pattern, said apparatus comprising: an optical system configured to form an image of a mark and to obtain an image signal corresponding to the image; and an arithmetic unit configured to calculate a first parameter of conversion from a designed position of the array of regions on a first substrate to a corrected position thereof based on the image signals obtained by said optical system with respect to a mark in each of a subset of the array of regions, to calculate a second parameter of conversion from a designed position in one of the array of regions to a corrected position thereof based on the image signals obtained by said optical system with respect to a plurality of marks in one of the array of regions, to calculate a third parameter based on the calculated first and second parameters, the third parameter being a parameter of a function, which is a function of the first parameter and represents the second parameter, to calculate the first parameter with respect to a second substrate different from the first substrate based on the image signals obtained by said optical system with respect to a mark in each of a subset of the array of regions on the second substrate, and to calculate the second parameter with respect to the second substrate based on the first parameter calculated with respect to the second substrate and the third parameter calculated with respect to the first substrate.