Acta Optica Sinica, Volume. 25, Issue 6, 781(2005)

Fringe Analysis with Hilbert Transform and Its Application in the Measurement of Aspheric Mirror

[in Chinese]1,2、*, [in Chinese]1, [in Chinese]1, and [in Chinese]3
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • 3[in Chinese]
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    A method for interferometric phase's demodulation with a discrete Hilbert transform is proposed. A Hilbert transform demodulated phase principle is represented and the phase information of aspheric surface is evaluated only one interferogram. The sine and cosine components are calculated from a single interference signal. Then wavefront reconstruction is achieved using Zernike polynomical fitting. In addition, the phase-extraction algorithm, error correction and some applications to the measurement of the surface shape are discussed. On-line measurements to aspheric surface are realized. Several experiments showed the accuracy of the measurement to be λ/10 ( RMS).

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    [in Chinese], [in Chinese], [in Chinese], [in Chinese]. Fringe Analysis with Hilbert Transform and Its Application in the Measurement of Aspheric Mirror[J]. Acta Optica Sinica, 2005, 25(6): 781

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jan. 17, 2004

    Accepted: --

    Published Online: May. 22, 2006

    The Author Email: (lvjie219@163.com)

    DOI:

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