Acta Optica Sinica, Volume. 25, Issue 6, 781(2005)
Fringe Analysis with Hilbert Transform and Its Application in the Measurement of Aspheric Mirror
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