A matrix treatment of primary aberrations

Physics – Optics

Scientific paper

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Aberration, Lens Design, Matrix Theory, Optical Equipment, Design Analysis, Optical Properties, Ray Tracing, Refraction, Surface Geometry

Scientific paper

A matrix formulation of geometrical optics is given which simplifies the consideration of primary aberrations in the design of optical systems. This treatment differs from the usual matrix formulations and is quite general, with the only restriction being that the refracting surfaces be rotationally symmetric. The formulation uses normalized variables which derive quite naturally from the particular choice of matrix description. The main virtues of this formulation are the conciseness with which primary aberrations can be treated and the effects of pupil aberrations on image quality can be determined. It is suggested that this approach simplifies the treatment of primary aberrations to the extent that they can be almost as readily considered in any optical-system design as the application of the lens makers' formulas.

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