This paper explores the maximum optical power, i.e., the shortest focal length, that can be achieved with homogeneous materials given a cylindrical volume and a minimum-diameter constraint. An equation for the maximum optical power for a given lens diameter and two refractive indices is defined. For example, we determine that a 25.4-mm-diameter lens assembly cannot have an effective focal length of ≤6 mm using existing optical glasses in the visible.
© 1990 Optical Society of America
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