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Other than for spheres the decenter of an aspheric surface cannot be compensated for by further tilting. During tolerancing process of an optical system it is usually assumed that the surface form deviation, the wedge and tilt of a surface have the same origin of coordinates. When manufacturing a lens, the surface form deviation is measured with different machines than the wedge and decenter. Measuring the surface form, the software applies piston, tilt and decenter that differs from the wedge and decenter of the lens. The results of testing this effect with different measurement set-ups and a possible solution will be presented.
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M. Trabert, U. Fuchs, S. R. Kiontke, "Asphere wedge and decenter: What you see is not always what you get," Proc. SPIE 9951, Optical System Alignment, Tolerancing, and Verification X, 99510I (27 September 2016); https://doi.org/10.1117/12.2237051