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

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Equations (67)

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