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14 October 2005 Reversible lens: theoretical limit of performance and real design
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Abstract
When we design lenses, we always wonder if any better design exists than the current design. If the current design could be proved to be the global minimum under given conditions, we could be fully confident on our design. In this paper I would like to show an example of such a proof. The design example is the "reversible lens", 1985 International Lens Design Conference lens design problem. This problem requests the aberration control at the lateral magnifications -1/2 and -2 simultaneously. From the nature of light, the perfect imaging at the 2 magnifications can not be realized. Some researchers have been interested in the problem to predict the performance limit quantitatively, and to find the real design that realizes this performance limit. In 1992 Forbes and Jones applied a global optimization to this problem and showed some solutions with different element numbers. In 1995 Forbes and Wallace predicted a performance limit by the method of the optimization of the Eikonal function. But this prediction was much better than the performance of the ever-found solutions. In this paper I investigated the prediction of Forbes and Wallace and modified their prediction. I also designed a real lens that reaches the predicted performance limit.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Akira Yabe "Reversible lens: theoretical limit of performance and real design", Proc. SPIE 5962, Optical Design and Engineering II, 59620Q (14 October 2005); https://doi.org/10.1117/12.611994
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