Stitching interferometry for asphero-diffractive surface

Weibo Wang; Mengqian Zhang; Siwen Yan; Zhigang Fan

doi:10.1117/12.2181386

6 March 2015 Stitching interferometry for asphero-diffractive surface

Weibo Wang, Mengqian Zhang, Siwen Yan, Zhigang Fan

Proceedings Volume 9446, Ninth International Symposium on Precision Engineering Measurement and Instrumentation; 94463K (2015) https://doi.org/10.1117/12.2181386
Event: International Symposium on Precision Engineering Measurement and Instrumentation, 2014, Changsha/Zhangjiajie, China

Abstract

This article describes the method of mathematically stitching together a plurality of overlapping individual annular sub-aperture maps to yield the full-aperture map of an asphero-diffractive surface. The unknown step height and relative position of each zone causes some ambiguity when the individual sub-apertures are combined into a full aperture map. The uncertainty is mainly caused by alignment error and noise during the measurements of individual sub-aperture maps and step height. The optimization and merit function works to minimize the discrepancy between multiple data sets by including components related to various alignment errors and noise during the measurements of individual sub-aperture maps and step height. The stitching coefficients which minimize the mean square difference between any overlapping values can be found through iterative constrained optimization. The full aperture wave-front is reconstructed by stitching sub-apertures with the stitching coefficients within meaningful bounds.

Citation Download Citation

Weibo Wang, Mengqian Zhang, Siwen Yan, and Zhigang Fan "Stitching interferometry for asphero-diffractive surface", Proc. SPIE 9446, Ninth International Symposium on Precision Engineering Measurement and Instrumentation, 94463K (6 March 2015); https://doi.org/10.1117/12.2181386

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KEYWORDS

Error analysis

Stitching interferometry

Calibration

Aspheric lenses

Fluctuations and noise

Instrumentation engineering

Numerical analysis

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