Abstract

The ISO-10110 metrics summarize in a few figures the gist of the form error of an optical surface. The values of a few ISO-10110 metrics are usually sufficient to tell if the optical elements are of adequate quality to allow the construction of an optical system with the desired performance. In the context of tolerance analysis, surface form deviations (SFD) are simulated by adding a random sum of generic surfaces on top of a nominal surface. A Matlab-based tool was created to convert the 2D continuous mathematical models of SFD into ISO-10110 metrics. The tool works directly on the raw data of the Monte-Carlo files produced by OpticsStudio during the tolerance analysis process. Not only ISO-10110 metrics are calculated by the tool, but also many mechanical metrics and other optical metrics. The entire set of metrics is calculated for all the surfaces, elements or groups and this for each of the Monte-Carlo optical configurations. Both rotationally symmetric and cylindrical surfaces can be processed by the tool. The calculation of the irregularities is done by a decomposition of the SFD functions into Zernike polynomials and bivariate Legendre polynomials respectively for rotationally symmetric and cylindrical surfaces. A bar graph is used to display all the results of a given type on a single graph. A distance correlation is implemented in the tool to help identify the worst sources of performance degradation. Therefore, the tool can also be used for the iterative tightening of the most significant tolerance operands during the entire tolerance analysis.

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