Abstract

By means of a different method from that of Sands [ J. Opt. Soc. Am. 63, 425 ( 1973)], the theory of primary aberrations for systems of regular (non-Fresnel) surfaces with symmetry about two mutually orthogonal planes is generalized to toric Fresnel surfaces. Computationally convenient expressions are derived for the resulting 20 monochromatic and 4 chromatic aberrations. Also given are simple relations between the aberrations of the pupil and those of the object and for the changes in the aberrations with either stop shift or object shift.

© 1993 Optical Society of America

Primary aberration contributions for curved Fresnel surfaces

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