Abstract

Herzberger’s fundamental optical invariant, specialized to rotationally symmetric optical systems, is treated as a system of partial differential equations. A general solution with a system of residual equations is obtained. This provides several factorizations of a jacobian matrix describing in a general way the object–image relationship. It is believed that this provides the most general description of the behavior of a lens under the general assumptions of geometrical optics.

© 1972 Optical Society of America

Optics in Stratified and Anisotropic Media: 4×4-Matrix Formulation

Dwight W. Berreman
J. Opt. Soc. Am. 62(4) 502-510 (1972)

Formulation of a Reflector-Design Problem for a Lighting Fixture

J. S. Schruben
J. Opt. Soc. Am. 62(12) 1498-1501 (1972)

Systems Without Symmetries: Foundations of a Theory of Lagrangian Aberration Coefficients

H. A. Buchdahl
J. Opt. Soc. Am. 62(11) 1314-1324 (1972)

Application of Fourier Techniques to Underwater Image Transmission: A Test of the Linear-Invariant Hypothesis*

Robert T. Hodgson and Douglas R. Caldwell
J. Opt. Soc. Am. 62(12) 1434-1438 (1972)

Simplified Equation for Amplitude Scintillations in a Turbulent Atmosphere*

J. W. Strohbehn and T. I. Wang
J. Opt. Soc. Am. 62(9) 1061-1068 (1972)