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Instead of following the historical path of its development, the modern Double Gauss lens in its many forms is synthesized from the ground up. Each step is analyzed in simple terms, mainly by considering the contributions to the Petzvalsum correction by means of bending, spacing, and index difference, and by evaluating some characteristic aberrations. This pro-cess causes even a complex and difficult to understand design as the modern Double Gauss lens to reveal its inner workings. The relevant historical events are inserted at the appropiate points. It is of interest to note how far the historical development departs from an a posteriori synthesis. It has been argued that Gauss's contribution has been no more than his name. This issue is briefly addressed. The reasons for the tremendous flexibility of the Double Gauss lens becomes apparent from the synthesis and is illustrated. It is remarkable how the Double Gauss lens maintains its characteristics throughout all its forms, even to the point that its optimum performance in terms of the characteristic aberrations can be predicted once the aperture and fieldangle are choosen. A simple formula to this effect is presented and its accuracy tested by some typical examples from the patent literature.
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Jan Hoogland, "Synthesis Of The Double Gauss Lens," Proc. SPIE 0399, Optical System Design, Analysis, and Production, (26 October 1983); https://doi.org/10.1117/12.935432