The Use Of The Pseudo-Eikonal In The Optimization Of Optical Systems

J.L. F. de Meijere; J. A. Schuurman; C.H. F. Velzel

doi:10.1117/12.949355

13 April 1989 The Use Of The Pseudo-Eikonal In The Optimization Of Optical Systems

J.L. F. de Meijere, J. A. Schuurman, C.H. F. Velzel

Proceedings Volume 1013, Optical Design Methods, Applications and Large Optics; (1989) https://doi.org/10.1117/12.949355
Event: 1988 International Congress on Optical Science and Engineering, 1988, Hamburg, Germany

Abstract

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 use of eikonals in the optimization of optical systems was described by Simons in his doctoral dissertation (Delft, Technical University, 1969). An additional advantage of the pseudo-eikonal is that it allows simultaneous correction of third and higher order aberrations. We evaluated the pseudo-eikonal after each step of an existing optimization program. 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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J.L. F. de Meijere, J. A. Schuurman, and C.H. F. Velzel "The Use Of The Pseudo-Eikonal In The Optimization Of Optical Systems", Proc. SPIE 1013, Optical Design Methods, Applications and Large Optics, (13 April 1989); https://doi.org/10.1117/12.949355

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