Seidel aberrations of an inflated membrane.
The Seidel aberrations of a shallow reflecting bowl are examined. In particular the bowl is formed by pressurizing a prestretched polymer membrane over the end of a cylindrical pressure vessel. Precise values for each of the five aberrations are given in terms of the bowl depth, radius, and amount of prestretch in the membrane for the case of an object at infinity and aperture stop in contact with the mirror. The analysis neglects terms of order (4)compared to unity where = bowl depth/bowl radius.
Vaughan
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