Abstract

This paper develops the theory of aberrations of concentric optical systems, supposed nontelescopic. In Part One the monochromatic-aberration coefficients of orders three, five, and seven, and some paraxial and nonparaxial chromatic-aberration coefficients are obtained explicitly on the basis of known relations from the algebraic theory of general systems. Part Two extends the algebraic theory of concentric systems to all orders, the displacement being exhibited in closed form involving a single unspecified function, i.e., the spherical-aberration function. The Hamiltonian theory of concentric systems is briefly considered in Part Three.

© 1962 Optical Society of America

Optical Aberration Coefficients. XI. Theory of a Concentric Corrector

H. A. Buchdahl
J. Opt. Soc. Am. 52(12) 1367-1372 (1962)

Optical Aberration Coefficients. IX. Theory of Reversible Optical Systems

H. A. Buchdahl
J. Opt. Soc. Am. 51(6) 608-616 (1961)

Optical Aberration Coefficients, XIII. Theory of Reversible Semi-symmetric Systems

H. A. Buchdahl
J. Opt. Soc. Am. 57(4) 517-522 (1967)

Computation of the Transfer Function of an Optical System from the Design Data for Rotationally Symmetric Aberrations. Part I. Theory

Richard Barakat
J. Opt. Soc. Am. 52(9) 985-991 (1962)

Multiple Scattering of Waves and Optical Phenomena*

Victor Twersky
J. Opt. Soc. Am. 52(2) 145-171 (1962)