Differential Ray Tracing Formulae For Optical Calculations: Principles And Applications

Jurgen Kross

doi:10.1117/12.949356

13 April 1989 Differential Ray Tracing Formulae For Optical Calculations: Principles And Applications

Jurgen Kross

Author Affiliations +

Proceedings Volume 1013, Optical Design Methods, Applications and Large Optics; (1989) https://doi.org/10.1117/12.949356
Event: 1988 International Congress on Optical Science and Engineering, 1988, Hamburg, Germany

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.

Citation Download Citation

Jurgen Kross "Differential Ray Tracing Formulae For Optical Calculations: Principles And Applications", Proc. SPIE 1013, Optical Design Methods, Applications and Large Optics, (13 April 1989); https://doi.org/10.1117/12.949356

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