Foundations of first-order layout for asymmetric systems: An application of hamilton's methods

Bryan D. Stone, G. W. Forbes

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

In the design of optical systems, it is expedient to consider only those systems that possess the desired firstorder imaging properties. For asymmetric systems, however, the requisite methods for performing such a firstorder layout have not been established. The foundations of suitable methods, based on the work of Hamilton, are developed here. The utility of these techniques is demonstrated by resolving a fundamental issue in the context of the characterization of first-order properties of optical systems. Specifically, it is well known that the smallest number of quantities required to characterize the first-order imaging properties of an asymmetric system is, at most, eleven, and it is established here that precisely eleven quantities are required in general. That is, there are no hidden constraints among these conventional quantities.

Original languageEnglish
Pages (from-to)96-109
Number of pages14
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume9
Issue number1
DOIs
Publication statusPublished - 1992
Externally publishedYes

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