Analysis of aberrations of an image formed by a system of noncentered optical surfaces

In the general case of an arbitrary arrangement of optical surfaces in space, it is proposed to take a straight line passing through the center of the entrance pupil perpendicularly to its plane as an assembly base. The coordinates of a point in the object plane and in the entrance pupil plane uniquely determine the position of the incident ray in the space. The wave aberration in the image of a point is represented by a power series of the general form as a function of these coordinates with terms of up to the fourth order. Aberrational analysis of individual components of this series is carried out. A particular case of decentering of an individual component in an axially symmetric optical system is considered. A new kind of aberration is shown to appear in this case.