High-order optical aberration coefficients: extension to finite objects and to telecentricity in object space.

We extend the method for the automatic computation of high-order optical aberration coefficients to include (1) a finite object distance and (2) an infinite entrance pupil position (telecentricity in object space). We present coefficients of the power series expansion of the transverse aberration vector with respect to the normalized aperture and field coordinates. Aberration coefficients of very high order (e.g., 21) can be computed easily and--as shown by comparisons with trigonometric ray tracing--reliably.