Nonnull testing of rotationally symmetric aspheres: a systematic error assessment

An optical setup for the testing of rotationally symmetric aspheres without a null optic is proposed. The optical setup is able to transfer the strong ly curved wave fronts that stem from the reflection of a spherical testing wave front at a rotationally symmetric asphere. By simulation it is proved that the algorithms of the Shack-Hartmann sensor that is used can cope with the steep wave-front slopes (similar to 110 lambda /mm) in the detection p lane. The systematic errors of the testing configuration are analyzed and s eparated. For all types of error, functionals are derived whose significanc e is proved by simulation. The maximum residual errors in the simulations a re fewer than lambda /500 (peak to valley). (C) 2001 Optical Society of Ame rica.