The use of the pseudo-eikonal in the optimization of optical systems.

Physics – Optics

Scientific paper

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Optical Design

Scientific paper

The pseudo-eikonal is obtained by inserting in the sum of component eikonals of an optical system the linear approximations of the coordinates of the intermediate spaces as functions of the coordinates of the object and image space. The pseudo-eikonal can be expressed in the component data more easily then the exact system eikonal. Nevertheless it can be used in the same way as the exact eikonal for the optimization of optical systems. The optimum of a merit function that involves a comparison of the pseudo-eikonal with an ideal eikonal is different from the optimum found by using the spot diameter as a merit function. This difference correlates with the degree of "strain" inherent in the design considered; a measure for the degree of strain is the difference between the pseudo-eikonal and the exact eikonal.

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