Differential ray tracing formulae; applications especially to aspheric optical systems.

Physics – Optics

Scientific paper

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Optical Design

Scientific paper

Applications of differential ray tracing are shown. Special attention is focussed on aspheric surfaces. Differential ray tracing formulae are an efficient tool to calculate the changes of imaging errors in an easy, fast, and accurate way. Aberrations of higher order which must be taken into account in aspheric systems can be seen as well. Speed and accuracy of differential ray tracing prefer this method to calculate the solution matrix which is needed for optimation. Here the system data of the optical system are varied. Actually finite differences are still used nowadays. By variations of the design data information is obtained about the tolerance sensitivity of the system. Special attention is directed to the aspheric coefficients. Here especially spherical surfaces are considered, too, because they may become aspheric by manufacturing errors.

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