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Diffraction-limited geodesic lens: a search for substitute contours

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Abstract

Diffraction-limited geodesic lens contours are compared with algebraic and transcendental contours. Curvature errors are analyzed for lenses between f/0.68 and f/10. It is shown that certain oblate ellipsoids of revolution closely approximate the diffraction-limited contour above f/3.0. Aberrations are analyzed, and a simple formula with tabulated constants provides a method for finding the closest approximation contour ellipse for a desired f/No.

© 1981 Optical Society of America

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