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 language | English |
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Pages (from-to) | 1270-1278 |
Number of pages | 9 |
Journal | Journal of the Optical Society of America A: Optics and Image Science, and Vision |
Volume | 10 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1993 |
Externally published | Yes |