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The application of the self-adaptive tracking method to the sinusoidal phase modulating interferometry

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Języki publikacji
EN
Abstrakty
EN
In this paper, we analyze theoretically the accuracy of the surface profile measurement in a sinusoidal phase modulating interferometer, derive the relative error formula, and investigate the influence of spectral leakage on the measurement accuracy. The theoretical results show that when the offset of sampling frequency from its theoretical ideal is outside the range of - 0.188% to +0.075%, the spectrum leakage results in an relative error greater than ?/320 nm, and thus the spectral leakage is not negligible. In order to eliminate the influence of the spectral leakage, a self-adaptive tracking method is proposed. The tracking method can adjust automatically the sampling signal frequency in such a way that the sampling signal frequency is an integer multiple of the modulating signal frequency. The simulation and experimental results show that the problem of the spectrum leakage can be solved with the proposed technique, and therefore the measurement accuracy and reliability of the SPM interferometer are enhanced.
Czasopismo
Rocznik
Strony
109--122
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
autor
autor
autor
  • Chongqing Optical Engineering Key Laboratory, College of Physics and Information Technology, Chongqing Normal University, Chongqing 400030, China
Bibliografia
  • [1] OSAMI SASAKI, HIROKAZU OKAZAKI, Sinusoidal phase modulating interferometry for surface profile measurement, Applied Optics 25(18), 1986, pp. 3137–3140.
  • [2] XIANGZHAO WANG, OSAMI SASAKI, TAKAMASA SUZUKI, TAKEO MARUYAMA, Measurement of spatially nonuniform phase changes of a light beam utilizing the reflectivity characteristic of the self-pumped phase-conjugate mirror, Optical Engineering 38(9), 1999, pp. 1553–1559.
  • [3] TAKAMASA SUZUKI, TAKAO OHIZUMI, TATSUHIKO SEKIMOTO, OSAMI SASAKI, Disturbance-free distributed Bragg reflector laser-diode interferometer with a double sinusoidal phase-modulating technique for measurement of absolute distance, Applied Optics 43(23), 2004, pp. 4482–4487.
  • [4] TAKAMASA SUZUKI, HIROMI SUDA, OSAMI SASAKI, Double sinusoidal phase-modulating distributed--Bragg-reflector laser-diode interferometer for distance measurement, Applied Optics 42(1), 2003, pp. 60–66.
  • [5] XUEFENG ZHAO, TAKAMASA SUZUKI, TAKAMASA MASUTOMI, OSAMI SASAKI, Sinusoidal phase modulating laser diode interferometer for on-machine surface profile measurement, Optical Engineering 44(12), 2005, p. 125602.
  • [6] YANDE XU, Two-period interference fringes interferometry, Optical Engineering 44(4), 2005, p. 045601.
  • [7] LI DAILIN, WANG XIANGZHAO, WANG XUEFENG, et al., Composite light source interferometer for real-time micro vibration measurement, Chinese Journal of Lasers 31(3), 2004, pp. 350–353.
  • [8] TAKAMASA SUZUKI, XUEFENG ZHAO, OSAMI SASAKI, Phase-locked phase-shifting laser diode interferometer with photothermal modulation, Applied Optics 40(13), 2001, pp. 2126–2131.
  • [9] ZHANG CAINI, WANG XIANGZHAO, High-accuracy angular displacement measurement using sinusoidal phase-modulating Fabry–Perot interferometer, Acta Optica Sinica 24(8), 2004, pp. 1141–1145.
  • [10] WANG MAOHAI, LIU HUIJIN, PENG HUI, ZHANG GUOQIANG, Analysis on errors of discrete fourier transform (DFT) in case of signal frequency drifting from designed value, Electrical Measurement and Instrumentation 38(421), 2001, pp. 13–16.
  • [11] YOUHENG XU, BAOPING JU, Synchronized phasor measuring method using recursive DFT with a window function, Transmission and Distribution Conference and Exhibition: Asia and Pacific, IEEE/PES, 2005, pp. 1–6.
  • [12] LIU JINMING,YING HUAIQIAO, The dominant frequency position’s influence on FFT spectrum leakage, International Conference on Signal Processing Proceedings, ICSP, Vol. 1, 1996, pp. 241–245.
  • [13] HARRIS F.J., On the use of window for harmonic analysis with discrete Fourier transform, Proceedings of the IEEE 66(1), 1978, pp. 51–83.
  • [14] OSAMI SASAKI, KAZUHIDE TAKAHASHI, Sinusoidal phase modulating interferometer using optical fibers displacement measurement, Applied Optics 27(19), 1988, pp. 4139–4142.
  • [15] TAKAMASA SUZUKI, TAKAYA MUTO, OSAMI SASAKI, TAKEO MARUYAMA, Wavelength-multiplexed phase-locked laser diode interferometer using a phase-shifting technique, Applied Optics 36(25), 1997, pp. 6196–6201.
  • [16] MA RENZHENG, CHEN MINGKAI, An adapttive sampling tracking method for reducing spectrim leakage, Automation of Electric Power Systems 4(10), 2002, pp. 55–58 (in Chinese).
  • [17] OSAMI SASAKI, HIROKAZU OKAZAKI, Analysis of measurement accuracy in sinusoidal phase modulating interferometry, Applied Optics 25(18), 1986, pp. 3152–3158.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW7-0011-0010
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