Differential ray tracing formulae for optical calculations: principles and applications.

Physics – Optics

Scientific paper

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Optical Design

Scientific paper

It is 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.

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