Hamilton’s angle characteristic in closed form for generally configured conic and toric interfaces

G. W. Forbes, Bryan D. Stone

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Exact expressions are derived for Hamilton’s angle characteristic for a single reflecting or refracting surface of toric or conic form. The configuration of the base planes and the initial and final coordinates are all ultimately defined with respect to a base ray that is neither assumed to be normally incident nor taken to be incident at an axial or equatorial point. The expressions that emerge form a basis for several aspects of the modeling and design of systems without symmetries. Significant simplifications are realized by appropriately subdividing the derivation, and one of the principal components is a study of the change in the form of the restricted angle characteristic when the coordinates and base planes are reconfigured.

Original languageEnglish
Pages (from-to)1270-1278
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume10
Issue number6
DOIs
Publication statusPublished - 1993
Externally publishedYes

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