Paper
24 August 2009 Methods to improve the accuracy of the surface reconstruction with a Fizeau interferometer
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Abstract
Synchrotron radiation sources have become brighter in recent years. In order to profit all this brilliance, optical surfaces of the beamlines must have slope errors below 1-2 microradians RMS. Thus, it is necessary to have accurate and repeatable measurements of these surfaces (plane, elliptical, toroid, etc.). In this work, a Fizeau interferometer is used for their characterization. The accuracy of the measurement is limited by quality of the reference surfaces of the interferometer. Lateral shearing technique is applied in order to remove the influence of the reference surfaces. This technique requires to use two or more images of the surface displaced each other. Then, systematic errors of the linear stage (guidance and positioning errors) become the limit for an accurate characterization. Different algorithms for the estimation and compensation of these systematic errors have been developed. They are based on the two dimensional redundancy of the data obtained from multiple measurements. In addition, algorithms to control the alignment of the setup have been developed and implemented in a stand-alone application. As a result, once errors introduced by the stage are controlled, an accurate characterization of the optical surfaces for beamlines is obtained. With this extended data analysis, the accuracy of the mirror characterization can be improved with independence of the quality of the reference optics of the interferometer.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Josep Vidal, Josep Nicolas, and Juan Campos "Methods to improve the accuracy of the surface reconstruction with a Fizeau interferometer", Proc. SPIE 7448, Advances in X-Ray/EUV Optics and Components IV, 744802 (24 August 2009); https://doi.org/10.1117/12.825968
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Cited by 6 scholarly publications.
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KEYWORDS
Error analysis

Interferometers

Fizeau interferometers

Fourier transforms

Algorithm development

Mirrors

Optics manufacturing

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