Surface contribution to high order aberrations using the Aldis therem and Andersen's algorthms

A. Ortiz-Estardante; Alejandro Cornejo-Rodriguez

doi:10.1117/12.22193

1 July 1990 Surface contribution to high-order aberrations using the Aldis therem and Andersen's algorithms

A. Ortiz-Estardante, Alejandro Cornejo-Rodriguez

Proceedings Volume 1319, Optics in Complex Systems; (1990) https://doi.org/10.1117/12.22193
Event: 15th International Optics in Complex Systems, 1990, Garmisch, Germany

Abstract

Formulae and computer programs were developed for surface contributions to high order aberrations coefficients using the Aldis theorem and Andersen algor ithms for a symmetr ical optical system. 2. THEORY Using the algorithms developed by T. B. Andersent which allow to calculate the high order aberrations coefficients of an optical system. We were able to obtain a set of equations for the contributions of each surface of a centered optical system to such aberration coefficiets by using the equations of Andersen and the so called Aldis theorem 3. COMPUTER PROGRAMS AND EXAMPLES. The study for the case of an object at infinite has been completed and more recently the object to finite distance case has been also finished . The equations have been properly programed for the two above mentioned situations . Some typical designs of optical systems will be presented and some advantages and disadvantages of the developed formulae and method will be discussed. 4. CONCLUSIONS The algorithm developed by Anderson has a compact notation and structure which is suitable for computers. Using those results obtained by Anderson together with the Aldis theorem a set of equations were derived and programmed for the surface contributions of a centered optical system to high order aberrations. 5. REFERENCES 1. T . B. Andersen App 1. Opt. 3800 (1980) 2. A. Cox A system of Optical Design Focal Press 1964 18 / SPIE

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A. Ortiz-Estardante and Alejandro Cornejo-Rodriguez "Surface contribution to high-order aberrations using the Aldis therem and Andersen's algorithms", Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.22193

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