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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Dwight W. Berreman
J. Opt. Soc. Am. 62(4) 502-510 (1972)
J. S. Schruben
J. Opt. Soc. Am. 62(12) 1498-1501 (1972)
H. A. Buchdahl
J. Opt. Soc. Am. 62(11) 1314-1324 (1972)