Abstract

Continuing the investigation of invariant aberrations, in this paper I explore aberrations that are simultaneously invariant under shifts of the entrance pupil and of the object plane. These s-invariants, of orders 4N − 1, N = 1, 2, …, may, when N > 1, arguably be considered generalizations of the familiar (third-order) Petzval coefficient. To within a fixed factor, the intrinsic contribution by a spherical refracting surface to the seventh-order s-invariant turns out to be exactly the cube of the Petzval contribution $\tilde{\omega }$, a fixed factor N₁⁴ apart.

© 1988 Optical Society of America

Invariant aberrations. III. l-invariants

H. A. Buchdahl
J. Opt. Soc. Am. A 5(11) 1968-1971 (1988)

Invariant aberrations. II. p-invariants

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J. Opt. Soc. Am. A 5(11) 1963-1967 (1988)

Invariant aberrations. I. Preliminaries

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