Thin lens aberrations for anamorphic lenses.

This paper provided thin lens aberrations for anamorphic lenses, including the central thin lens aberrations, the central Lagrange invariant shift, the central conjugate shift, and the central pupil shift. Based on thin lens theory and the paraxial lens module, the aberration of the anamorphic lens system can be easily corrected. The central Lagrange invariant shift can be used for aberration correction for an anamorphic zoom lens system. In order to make a concise expression for the central conjugate shift, eight aberration coefficients are introduced: D¯, D¯, D¯, D¯, D¯, D¯, D¯, and D¯. Similarly, four aberration coefficients are introduced for the central pupil shift: D, D¯, D, and D¯. A simulation is conducted that proves numerically the validity of the thin lens aberrations for an anamorphic lens system.