The generalized sine condition for an image-forming system with centering errors but allowing for one symmetry plane is derived according to the Fourier optics approach. The variation of the wave-front-aberration function associated with a small displacement of field coordinates is given. The symmetry properties of aberrations are discussed.͓(x o Ј , y o Ј)͔, coordinates at the entrance (exit) pupil with origin at Ẽ o (Ẽ o Ј).
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