A detector for detecting a position of a mark comprises: an image sensing device; an optical system which projects the mark onto an image sensing surface of the image sensing device; a pattern located in a position between the image sensing surface and an optical element located closest to a plane on which the mark is to be located, among optical elements forming the optical system, the position being optically conjugated with the plane; and a processor which calculates a position of the mark with respect to one of a position of the pattern and a position already known from the position of the pattern, based on a moire pattern formed on the image sensing surface by the mark and the pattern.