Limits of Phase Modulated Frequency Shifted Holographic Vibrometry at Low Amplitudes of Vibrations
This paper presents advanced time average digital holography by means of frequency shift and phase modulation. This technique can measure amplitudes of vibrations at ultimate dynamic range while the amplitude distribution evaluation is done independently in every pixel. The main focus of the paper is to gain insight into behavior of the method at low amplitudes of vibrations. In order to reach that, a set of experiments was performed. Results of the experiments together with novel noise suppression show the limit of the method to be below 0.1 nm.
[1] R. L. Powell and K. A. Stetson, “Interferometric Vibration Analysis by Wavefront Reconstruction,” J. Opt. Soc. Am., vol. 55, no. 12, p. 1593, Dec. 1965.
[2] K. A. Stetson and R. L. Powell, “Interferometric Hologram Evaluation and Real-Time Vibration Analysis of Diffuse Objects,” J. Opt. Soc. Am., vol. 55, no. 12, p. 1694, Dec. 1965.
[3] J. W. Goodman, “Temporal Filtering Properties of Holograms,” Appl. Opt., vol. 6, no. 5, p. 857, May 1967.
[4] C. C. Aleksoff, “Temporally modulated holography,” Appl. Opt., vol. 10, no. 6, pp. 1329–1341, 1971.
[5] M. Ueda, S. Miida, and T. Sato, “Signal-to-noise ratio and smallest detectable vibration amplitude in frequency-translated holography: an analysis,” Appl. Opt., vol. 15, no. 11, pp. 2690–2694, 1976.
[6] P. Picart, J. Leval, D. Mounier, and S. Gougeon, “Time-averaged digital holography,” Opt. Lett., vol. 28, no. 20, pp. 1900–1902, Oct. 2003.
[7] F. L. Clerc, L. Collot, and M. Gross, “Numerical heterodyne holography with two-dimensional photodetector arrays,” ArXiv11125080 Phys., Dec. 2011.
[8] F. Joud, F. Laloë, M. Atlan, J. Hare, and M. Gross, “Imaging a vibrating object by Sideband Digital Holography,” Opt. Express, vol. 17, no. 4, p. 2774, Feb. 2009.
[9] P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, “Measurement of piezoelectric transformer vibrations by digital holography,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 59, no. 9, pp. 1962–1968, Sep. 2012.
[10] N. Verrier and M. Atlan, “Absolute measurement of small-amplitude vibrations by time-averaged heterodyne holography with a dual local oscillator,” Opt. Lett., vol. 38, no. 5, pp. 739–741, Mar. 2013.
[11] D. N. Borza, “Mechanical vibration measurement by high-resolution time-averaged digital holography,” Meas. Sci. Technol., vol. 16, no. 9, p. 1853, 2005.
[12] K. A. Stetson and W. R. Brohinsky, “Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects,” J. Opt. Soc. Am. A, vol. 5, no. 9, pp. 1472–1476, Sep. 1988.
[13] P. Psota, V. Lédl, P. Vojtíšek, J. Václavík, R. Doleček, and P. Mokrý, “Advanced time average holographic method for measurement in extensive vibration amplitude range with quantitative single-pixel analysis,” 2015, vol. 9508, p. 95080N–95080N–9.
[14] T. Kreis, Handbook of holographic interferometry: optical and digital methods. 2005. Weinheim: Wiley-VCH. xii
[1] R. L. Powell and K. A. Stetson, “Interferometric Vibration Analysis by Wavefront Reconstruction,” J. Opt. Soc. Am., vol. 55, no. 12, p. 1593, Dec. 1965.
[2] K. A. Stetson and R. L. Powell, “Interferometric Hologram Evaluation and Real-Time Vibration Analysis of Diffuse Objects,” J. Opt. Soc. Am., vol. 55, no. 12, p. 1694, Dec. 1965.
[3] J. W. Goodman, “Temporal Filtering Properties of Holograms,” Appl. Opt., vol. 6, no. 5, p. 857, May 1967.
[4] C. C. Aleksoff, “Temporally modulated holography,” Appl. Opt., vol. 10, no. 6, pp. 1329–1341, 1971.
[5] M. Ueda, S. Miida, and T. Sato, “Signal-to-noise ratio and smallest detectable vibration amplitude in frequency-translated holography: an analysis,” Appl. Opt., vol. 15, no. 11, pp. 2690–2694, 1976.
[6] P. Picart, J. Leval, D. Mounier, and S. Gougeon, “Time-averaged digital holography,” Opt. Lett., vol. 28, no. 20, pp. 1900–1902, Oct. 2003.
[7] F. L. Clerc, L. Collot, and M. Gross, “Numerical heterodyne holography with two-dimensional photodetector arrays,” ArXiv11125080 Phys., Dec. 2011.
[8] F. Joud, F. Laloë, M. Atlan, J. Hare, and M. Gross, “Imaging a vibrating object by Sideband Digital Holography,” Opt. Express, vol. 17, no. 4, p. 2774, Feb. 2009.
[9] P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, “Measurement of piezoelectric transformer vibrations by digital holography,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 59, no. 9, pp. 1962–1968, Sep. 2012.
[10] N. Verrier and M. Atlan, “Absolute measurement of small-amplitude vibrations by time-averaged heterodyne holography with a dual local oscillator,” Opt. Lett., vol. 38, no. 5, pp. 739–741, Mar. 2013.
[11] D. N. Borza, “Mechanical vibration measurement by high-resolution time-averaged digital holography,” Meas. Sci. Technol., vol. 16, no. 9, p. 1853, 2005.
[12] K. A. Stetson and W. R. Brohinsky, “Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects,” J. Opt. Soc. Am. A, vol. 5, no. 9, pp. 1472–1476, Sep. 1988.
[13] P. Psota, V. Lédl, P. Vojtíšek, J. Václavík, R. Doleček, and P. Mokrý, “Advanced time average holographic method for measurement in extensive vibration amplitude range with quantitative single-pixel analysis,” 2015, vol. 9508, p. 95080N–95080N–9.
[14] T. Kreis, Handbook of holographic interferometry: optical and digital methods. 2005. Weinheim: Wiley-VCH. xii
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:73933", author = "Pavel Psota and Vít Lédl and Jan Václavík and Roman Doleček and Pavel Mokrý and Petr Vojtíšek", title = "Limits of Phase Modulated Frequency Shifted Holographic Vibrometry at Low Amplitudes of Vibrations", abstract = "This paper presents advanced time average digital holography by means of frequency shift and phase modulation. This technique can measure amplitudes of vibrations at ultimate dynamic range while the amplitude distribution evaluation is done independently in every pixel. The main focus of the paper is to gain insight into behavior of the method at low amplitudes of vibrations. In order to reach that, a set of experiments was performed. Results of the experiments together with novel noise suppression show the limit of the method to be below 0.1 nm.", keywords = "Acousto-optical modulator, digital holography, low amplitudes, vibrometry.", volume = "10", number = "10", pages = "1737-7", }
