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Proceedings Paper

Differential Ray Tracing Formulae For Optical Calculations: Principles And Applications
Author(s): Jurgen Kross
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Paper Abstract

Differential ray tracing is performed here in the general case. For that it is very suitable to use a set of orthogonal vectors; that holds especially when non-rotationally symmetric systems are considered too. The use of orthogonal vectors allows to eliminate the components in direction of the optical axis easily. So, distinct formulae are derived which are more simple than those in earlier publications. It is especially advantageous to split up differential ray tracing into three steps. The resulting formulae are as simple as possible and therefore easy to program and to apply. The following applications are of main interest: a) Evaluation of imaging performance; b) Analysis of tolerance sets for design data; c) Exact determination of the derivatives of aberrations relative to the design data; the important application is given in optimization techniques. Furthermore the differential ray tracing formulae allow to derive imaging properties of optical systems. In this way relations between aperture and field variations may be deduced.

Paper Details

Date Published: 13 April 1989
PDF: 10 pages
Proc. SPIE 1013, Optical Design Methods, Applications and Large Optics, (13 April 1989); doi: 10.1117/12.949356
Show Author Affiliations
Jurgen Kross, Universitat Berlin (Germany)


Published in SPIE Proceedings Vol. 1013:
Optical Design Methods, Applications and Large Optics
Andre Masson; Joachim J. Schulte-in-den-Baeumen; Hannfried Zuegge, Editor(s)

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