Abstract

We propose here to combine sideband holography with stroboscopic illumination synchronized with the vibration of an object. By sweeping the optical frequency of the reference beam such a way the holographic detection is tuned on the successive sideband harmonic ranks, we are able to image the instantaneous velocities of the object. Since the stroboscopic illumination is made with an electronic device, the method is compatible with fast (up to several MHz) vibration motions. The method is demonstrated with a vibrating clarinet reed excited sinusoidally at 2 kHz, and a stroboscopic illumination with cyclic ratio 0.15. Harmonic rank up to n = ±100 are detected, and a movie of the instantaneous velocities is reported.

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  29. U. Schnars and W. Jüptner, “Direct recording of holograms by a ccd target and numerical reconstruction,” Appl. Opt. 33(2), 179–181 (1994)
    [CrossRef] [PubMed]
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    [CrossRef]

2009

2008

2007

2006

2005

2004

D. N. Borza, “High-resolution time-average electronic holography for vibration measurement,” Opt. Lasers Eng. 41(3), 515–527 (2004)
[CrossRef]

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

N. Demoli and D. Vukicevic, “Detection of hidden stationary deformations of vibrating surfaces by use of time-averaged digital holographic interferometry,” Opt. Lett. 29(20), 2423–2425 (2004)
[CrossRef] [PubMed]

2003

2000

1998

G. Pedrini, P. Froening, H. Fessler, and H. J. Tiziani, “Transient vibration measurements using multi-pulse digital holography,” Opt. Laser Tech. 29(8), 505–511 (1998)
[CrossRef]

1997

G. Pedrini, H. J. Tiziani, and Y. Zou, “Digital double pulse-tv-holography,” Opt. Laser Eng. 26(2), 199–219 (1997)
[CrossRef]

1995

G. Pedrini, Y. L. Zou, and H. J. Tiziani, “Digital double-pulsed holographic interferometry for vibration analysis,” Jour. of Mod. Opt. 42(2), 367–374 (1995)
[CrossRef]

1994

1971

1965

Aleksoff, C. C.

Al-Koussa, M.

Asundi, A.

V. R. Singh, J. Miao, Z. Wang, G. Hegde, and A. Asundi, “Dynamic characterization of mems diaphragm using time averaged in-line digital holography,” Opt. Comm. 280(2), 285–290 (2007)
[CrossRef]

A. Asundi and V. R. Singh, “Time-averaged in-line digital holographic interferometry for vibration analysis,” Appl. Opt. 45(11), 2391–2395 (2006)
[CrossRef] [PubMed]

Atlan, M.

Boileau, J. P.

Boileau, J.P.

Borza, D. N.

D. N. Borza, “High-resolution time-average electronic holography for vibration measurement,” Opt. Lasers Eng. 41(3), 515–527 (2004)
[CrossRef]

D. N. Borza, “Mechanical vibration measurement by high-resolution time-averaged digital holography,” Meas. Sci. Technol. 16: 1853 (2005)

Borza, D.N.

D.N. Borza, “Full-field vibration amplitude recovery from high-resolution time-averaged speckle interferograms and digital holograms by regional inverting of the bessel function,” Opt. lasers Eng. 44(8), 747–770 (2006)
[CrossRef]

Breteau, J. M.

Collot, L.

Dalmont, J. P.

Demoli, I.

Demoli, N.

Fessler, H.

G. Pedrini, P. Froening, H. Fessler, and H. J. Tiziani, “Transient vibration measurements using multi-pulse digital holography,” Opt. Laser Tech. 29(8), 505–511 (1998)
[CrossRef]

Froening, P.

G. Pedrini, P. Froening, H. Fessler, and H. J. Tiziani, “Transient vibration measurements using multi-pulse digital holography,” Opt. Laser Tech. 29(8), 505–511 (1998)
[CrossRef]

Fu, Y.

Gautier, B.

Gillet, S.

Gougeon, S.

Goy, P.

Grill, M.

Gross, M.

Guimezanes, T.

Gusev, M. E.

Hare, J.

Hegde, G.

V. R. Singh, J. Miao, Z. Wang, G. Hegde, and A. Asundi, “Dynamic characterization of mems diaphragm using time averaged in-line digital holography,” Opt. Comm. 280(2), 285–290 (2007)
[CrossRef]

Joud, F.

Jüptner, W.

Kalyani, Y.

Kothiyal, M. P.

Kumar, U. P.

Laine, B.

F. Pinard, B. Laine, and H. Vach, “Musical quality assessment of clarinet reeds using optical holography,” J. Acoust. Soc. Am. 113, 1736–1742 (2003)
[CrossRef] [PubMed]

Laloë, F.

Le Clerc, F.

Leval, J.

Miao, H.

Miao, J.

V. R. Singh, J. Miao, Z. Wang, G. Hegde, and A. Asundi, “Dynamic characterization of mems diaphragm using time averaged in-line digital holography,” Opt. Comm. 280(2), 285–290 (2007)
[CrossRef]

Mills, G.

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

Mohan, N. K.

Mounier, D.

Osten, W.

Pascal, J. C.

Pedrini, G.

Y. Fu, G. Pedrini, and W. Osten, “Vibration measurement by temporal fourier analyses of a digital hologram sequence,” Appl. Opt. 46(23), 5719–5727 (2007)
[CrossRef] [PubMed]

G. Pedrini, W. Osten, and M. E. Gusev, “High-speed digital holographic interferometry for vibration measurement,” Appl. Opt. 45(15), 3456–3462 (2006)
[CrossRef] [PubMed]

G. Pedrini, P. Froening, H. Fessler, and H. J. Tiziani, “Transient vibration measurements using multi-pulse digital holography,” Opt. Laser Tech. 29(8), 505–511 (1998)
[CrossRef]

G. Pedrini, H. J. Tiziani, and Y. Zou, “Digital double pulse-tv-holography,” Opt. Laser Eng. 26(2), 199–219 (1997)
[CrossRef]

G. Pedrini, Y. L. Zou, and H. J. Tiziani, “Digital double-pulsed holographic interferometry for vibration analysis,” Jour. of Mod. Opt. 42(2), 367–374 (1995)
[CrossRef]

Picart, P.

Pinard, F.

F. Pinard, B. Laine, and H. Vach, “Musical quality assessment of clarinet reeds using optical holography,” J. Acoust. Soc. Am. 113, 1736–1742 (2003)
[CrossRef] [PubMed]

Piquet, F.

Powell, R. L.

Schnars, U.

Shi, H.

Singh, V. R.

V. R. Singh, J. Miao, Z. Wang, G. Hegde, and A. Asundi, “Dynamic characterization of mems diaphragm using time averaged in-line digital holography,” Opt. Comm. 280(2), 285–290 (2007)
[CrossRef]

A. Asundi and V. R. Singh, “Time-averaged in-line digital holographic interferometry for vibration analysis,” Appl. Opt. 45(11), 2391–2395 (2006)
[CrossRef] [PubMed]

Stetson, K. A.

Tiziani, H. J.

G. Pedrini, P. Froening, H. Fessler, and H. J. Tiziani, “Transient vibration measurements using multi-pulse digital holography,” Opt. Laser Tech. 29(8), 505–511 (1998)
[CrossRef]

G. Pedrini, H. J. Tiziani, and Y. Zou, “Digital double pulse-tv-holography,” Opt. Laser Eng. 26(2), 199–219 (1997)
[CrossRef]

G. Pedrini, Y. L. Zou, and H. J. Tiziani, “Digital double-pulsed holographic interferometry for vibration analysis,” Jour. of Mod. Opt. 42(2), 367–374 (1995)
[CrossRef]

Vach, H.

F. Pinard, B. Laine, and H. Vach, “Musical quality assessment of clarinet reeds using optical holography,” J. Acoust. Soc. Am. 113, 1736–1742 (2003)
[CrossRef] [PubMed]

Valera, J. D. R.

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

Verpillat, F.

Vukicevic, D.

Wang, Z.

V. R. Singh, J. Miao, Z. Wang, G. Hegde, and A. Asundi, “Dynamic characterization of mems diaphragm using time averaged in-line digital holography,” Opt. Comm. 280(2), 285–290 (2007)
[CrossRef]

Yamaguchi, I.

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

Yokota, M.

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

Zhang, F.

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

Zou, Y.

G. Pedrini, H. J. Tiziani, and Y. Zou, “Digital double pulse-tv-holography,” Opt. Laser Eng. 26(2), 199–219 (1997)
[CrossRef]

Zou, Y. L.

G. Pedrini, Y. L. Zou, and H. J. Tiziani, “Digital double-pulsed holographic interferometry for vibration analysis,” Jour. of Mod. Opt. 42(2), 367–374 (1995)
[CrossRef]

Appl. Opt.

C. C. Aleksoff, “Temporally modulated holography,” Appl. Opt. 10(6), 1329–1341 (1971)
[CrossRef] [PubMed]

U. Schnars and W. Jüptner, “Direct recording of holograms by a ccd target and numerical reconstruction,” Appl. Opt. 33(2), 179–181 (1994)
[CrossRef] [PubMed]

P. Picart, J. Leval, D. Mounier, and S. Gougeon, “Some opportunities for vibration analysis with time averaging in digital fresnel holography,” Appl. Opt. 44(3), 337–343 (2005)
[CrossRef] [PubMed]

J. Leval, P. Picart, J.P. Boileau, and J. C. Pascal, “Full-field vibrometry with digital fresnel holography,” Appl. Opt. 44(27), 5763–5772 (2005)
[CrossRef] [PubMed]

A. Asundi and V. R. Singh, “Time-averaged in-line digital holographic interferometry for vibration analysis,” Appl. Opt. 45(11), 2391–2395 (2006)
[CrossRef] [PubMed]

G. Pedrini, W. Osten, and M. E. Gusev, “High-speed digital holographic interferometry for vibration measurement,” Appl. Opt. 45(15), 3456–3462 (2006)
[CrossRef] [PubMed]

Y. Fu, G. Pedrini, and W. Osten, “Vibration measurement by temporal fourier analyses of a digital hologram sequence,” Appl. Opt. 46(23), 5719–5727 (2007)
[CrossRef] [PubMed]

Y. Fu, H. Shi, and H. Miao, “Vibration measurement of a miniature component by high-speed image-plane digital holographic microscopy,” Appl. Opt. 48(11), 1990–1997 (2009)
[CrossRef] [PubMed]

U. P. Kumar, Y. Kalyani, N. K. Mohan, and M. P. Kothiyal, “Time-average tv holography for vibration fringe analysis,” Appl. Opt. 48(16), 3094–3101 (2009)
[CrossRef] [PubMed]

J. Acoust. Soc. Am.

F. Pinard, B. Laine, and H. Vach, “Musical quality assessment of clarinet reeds using optical holography,” J. Acoust. Soc. Am. 113, 1736–1742 (2003)
[CrossRef] [PubMed]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Jour. of Mod. Opt.

G. Pedrini, Y. L. Zou, and H. J. Tiziani, “Digital double-pulsed holographic interferometry for vibration analysis,” Jour. of Mod. Opt. 42(2), 367–374 (1995)
[CrossRef]

Meas. Sci. Technol.

D. N. Borza, “Mechanical vibration measurement by high-resolution time-averaged digital holography,” Meas. Sci. Technol. 16: 1853 (2005)

Opt. Comm.

V. R. Singh, J. Miao, Z. Wang, G. Hegde, and A. Asundi, “Dynamic characterization of mems diaphragm using time averaged in-line digital holography,” Opt. Comm. 280(2), 285–290 (2007)
[CrossRef]

Opt. Express

Opt. Laser Eng.

G. Pedrini, H. J. Tiziani, and Y. Zou, “Digital double pulse-tv-holography,” Opt. Laser Eng. 26(2), 199–219 (1997)
[CrossRef]

Opt. Laser Tech.

G. Pedrini, P. Froening, H. Fessler, and H. J. Tiziani, “Transient vibration measurements using multi-pulse digital holography,” Opt. Laser Tech. 29(8), 505–511 (1998)
[CrossRef]

Opt. Lasers Eng.

D. N. Borza, “High-resolution time-average electronic holography for vibration measurement,” Opt. Lasers Eng. 41(3), 515–527 (2004)
[CrossRef]

D.N. Borza, “Full-field vibration amplitude recovery from high-resolution time-averaged speckle interferograms and digital holograms by regional inverting of the bessel function,” Opt. lasers Eng. 44(8), 747–770 (2006)
[CrossRef]

Opt. Lett.

Opt. Rev.

F. Zhang, J. D. R. Valera, I. Yamaguchi, M. Yokota, and G. Mills, “Vibration analysis by phase shifting digital holography,” Opt. Rev. 11(5), 297–299 (2004)
[CrossRef]

Supplementary Material (2)

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Figures (7)

Fig. 1
Fig. 1

Distribution on the sidebands energy |An,x,δx|2 as a function of the sideband harmonic n without (a) and with (b–d) stroboscopic illumination. Curves are plotted for different stroboscopic illumination time t = xTA with x = 0.25 0.35, 0.45, 0.55, 0.65 and 0.75, and different stroboscopic illumination duration Δt = δxTA with δx = 1 (a), 0.2 (b), 0.1 (c) and 0.05 (d). The vibration amplitude is Φ = 50.

Fig. 2
Fig. 2

Distribution on the sidebands energy |An,x,δx|2 as a function of the sideband harmonic n without (a) and with (b–d) stroboscopic illumination for the triangular motion defined by Eq. (10). Curves are plotted for different stroboscopic illumination time t = xTA, and different stroboscopic illumination duration Δt = δxTA with δx = 1 (a), 0.2 (b), 0.1 (c) and 0.05 (d). The vibration maximum amplitude corresponds to Φ = 50.

Fig. 3
Fig. 3

Optical setup (a), and electronic (b) that drives the acousto optic modulator and the loudspeeker. (a) L: laser; AOM1,2: accousto optic modulators driven at frequency νAOM1,2; M: mirrors; BS: beam splitter; BE: beam expander; LS: loudspeaker exciting the clarinet reed at frequency νA/2; CCD: CCD camera. (b) SG1,2,3: direct digital synthesizer (DDS) signal generators;; Quartz: 100 MHz quartz oscillator; LG: NAND logical gate; DBM: double balanced mixer; Ampl: 20 MHz and 80 MHz LC resonant amplifiers.

Fig. 4
Fig. 4

Chronogram of the signals: (a) SG1 sinusoidal signal of period TA = 1/νA exciting the reed; (b) SG3 rectangular gate and (c) ≃80 MHz gated signals driving the accousto-optical modulators AOM1 and AOM2.

Fig. 5
Fig. 5

Reconstruction images of the reed at time xTA = 0 (a,b,c), 0.3 TA (d,e,f) and 0.7 TA (g,h,i) for n = −60 (a,d,g), 0 (b,e,h) and +60.0 (c,f,i). The images are displayed in logarithmic scale for the field intensity |E|2.

Fig. 6
Fig. 6

Reed displacement z(y, xTA) and the reed velocity V (y, xTA) at illumination time t = xTA. The holographic signal on sideband of rank n is obtained if V (y, xTA) is close to V (n) = nλνA.

Fig. 7
Fig. 7

Successive positions of the reed on a period TA. These images are obtained by taking the section in the x = 268 (horizontal white dashed line of Fig. 5 (e)) of the stack of reconstructed images for n = −100 to +100. The images are displayed in logarithmic scale for the optical field intensity |E|2.

Equations (13)

Equations on this page are rendered with MathJax. Learn more.

z ( t ) = z max cos ( 2 π ν A t )
φ ( t ) = 4 π z ( t ) / λ = Φ cos ( 2 π ν A t )
E ( t ) = e j 2 π ν 0 t + j φ ( t ) = n = J n ( Φ ) e j 2 π ( ν 0 + n ν A ) t
ν n = ν 0 + n ν A
n ( ν ) = ( ν ν 0 ) / ν A
ν ν 0 = n ν A = 2 V / λ
H x , δ x ( t ) = 0 for t / T A < x δ x / 2 = 1 for x δ x / 2 < t / T A < x + δ x / 2 = 0 for x + δ x / 2 < t / T A
E ( t ) = H x , δ x ( t ) e j 2 π ν 0 t + j φ ( t ) = n A n , x , δ x ( Φ ) e j 2 π ν n t
n ¯ ν A = 2 v ( x T A ) λ = 2 V max λ sin ( 2 π x )
φ ( t ) = ( 1 + 4 t / T A ) Φ φ ( t + T A / 2 ) = ( + 1 4 t / T A ) Φ
ν A O M 1 ν A O M 2 = n ν A + ν C C D / 4
H = ( I 0 I 2 ) + j ( I 0 I 2 )
V n = 60 = 60 ν A c / ν 0 8 × 10 2 m . s 1

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