Characterization of first-order optical properties for asymmetric systems

Bryan D. Stone, G. W. Forbes

Research output: Contribution to journalArticlepeer-review

42 Citations (Scopus)


First-order imaging properties are often represented in the form of a derivative matrix. This representation is not always expedient, however, since the elements of the matrix are not all independent; some elements can be written as functions of the others. Ideally, the first-order imaging properties should be represented without any redundant (and, therefore, possibly inconsistent) information. Further, it is convenient to characterize these properties in terms of entities with direct geometric interpretations. Hamilton’s methods are used here to determine a minimal set of geometric entities that is sufficient to characterize the first-order imaging properties of asymmetric systems. Although certain aspects of this problem have been discussed elsewhere, a particular facet has been consistently misinterpreted. This issue is resolved here by establishing that there is no unique first-order image plane for any optical system—regardless of symmetry.

Original languageEnglish
Pages (from-to)478-489
Number of pages12
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number3
Publication statusPublished - 1992
Externally publishedYes


Dive into the research topics of 'Characterization of first-order optical properties for asymmetric systems'. Together they form a unique fingerprint.

Cite this