27 December 2001 Fast surface profiler by white-light interferometry using a new algorithm, the SEST algorithm
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We devise a fast algorithm for surface profiling by white- light interferometry. It is named the SEST algorithm after Square Envelope function estimation by Sampling Theory. Conventional methods for surface profiling by white-light interferometry based their foundation on digital signal processing technique, which is used as an approximation of continuous signal processing. Hence, these methods require narrow sampling intervals to achieve good approximation accuracy. In this paper, we introduce a totally novel approach using sampling theory. That is, we provide a generalized sampling theorem that reconstructs a square envelope function of a white-light interference fringe from sampled values of the interference fringe. A sampling interval in the SEST algorithm is 6-14 times wider than those of conventional methods when an optical filter of the center wavelength 600 nm and the bandwidth 60 nm is used. The SEST algorithm has been installed in a commercial system which achieved the world's fastest scanning speed of 42.75 micrometers /s. The height resolution of the system lies in the order of 10 nm for a measurement range of greater than 100 micrometers .
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Akira Hirabayashi, Akira Hirabayashi, Hidemitsu Ogawa, Hidemitsu Ogawa, Katsuichi Kitagawa, Katsuichi Kitagawa, } "Fast surface profiler by white-light interferometry using a new algorithm, the SEST algorithm", Proc. SPIE 4451, Optical Manufacturing and Testing IV, (27 December 2001); doi: 10.1117/12.453634; https://doi.org/10.1117/12.453634

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