Abstract

We report a demonstration of the measurement of the ratio between an optical modulation sideband component and the nonshifted light component by time-averaged heterodyne holography in off-axis and frequency-shifting configuration, through coherent frequency-division multiplexing with a dual optical local oscillator. Experimental results of sinusoidal vibration sensing are reported. This technique enables absolute measurements of subnanometric out-of-plane vibration amplitudes.

© 2013 Optical Society of America

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References

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2012 (3)

2011 (2)

2009 (2)

2006 (1)

2003 (1)

2001 (1)

C. Barriere and D. Royer, Appl. Phys. Lett. 79, 878 (2001).
[CrossRef]

1976 (1)

1971 (2)

S. Weinstein and P. Ebert, IEEE Trans. Commun. Technol. 19, 628 (1971).
[CrossRef]

C. C. Aleksoff, Appl. Opt. 10, 1329 (1971).
[CrossRef]

1965 (1)

Aleksoff, C. C.

Atlan, M.

Awatsuji, Y.

Barada, D.

Barriere, C.

C. Barriere and D. Royer, Appl. Phys. Lett. 79, 878 (2001).
[CrossRef]

Dolecek, R.

P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 1962 (2012).
[CrossRef]

V. Ledl, J. Vaclavik, R. Dolecek, and V. Kopecky, in 9th International Conference on Vibration Measurements by Laser and Non Contact Techniques (AIVELA) (AIP, 2010).

Ebert, P.

S. Weinstein and P. Ebert, IEEE Trans. Commun. Technol. 19, 628 (1971).
[CrossRef]

Erhart, J.

P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 1962 (2012).
[CrossRef]

Ferraro, P.

Finizio, A.

Gross, M.

Gusev, M. E.

Hare, J.

Hayasaki, Y.

Ichiro Sugisaka, J.

Joud, F.

Kakue, T.

Kiire, T.

Kopecky, V.

P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 1962 (2012).
[CrossRef]

V. Ledl, J. Vaclavik, R. Dolecek, and V. Kopecky, in 9th International Conference on Vibration Measurements by Laser and Non Contact Techniques (AIVELA) (AIP, 2010).

Kubota, T.

Laloë, F.

Ledl, V.

P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 1962 (2012).
[CrossRef]

V. Ledl, J. Vaclavik, R. Dolecek, and V. Kopecky, in 9th International Conference on Vibration Measurements by Laser and Non Contact Techniques (AIVELA) (AIP, 2010).

Maeda, A.

Matoba, O.

Memmolo, P.

Miida, S.

Moisson, E.

Mounier, D.

Nishio, K.

Osten, W.

Paturzo, M.

Pedrini, G.

Picart, P.

Powell, R. L.

Psota, P.

P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 1962 (2012).
[CrossRef]

Royer, D.

C. Barriere and D. Royer, Appl. Phys. Lett. 79, 878 (2001).
[CrossRef]

Samson, B.

Sato, T.

Stetson, K. A.

Tahara, T.

Tulino, A.

Ueda, M.

Ura, S.

Vaclavik, J.

V. Ledl, J. Vaclavik, R. Dolecek, and V. Kopecky, in 9th International Conference on Vibration Measurements by Laser and Non Contact Techniques (AIVELA) (AIP, 2010).

Verpillat, F.

Verrier, N.

Weinstein, S.

S. Weinstein and P. Ebert, IEEE Trans. Commun. Technol. 19, 628 (1971).
[CrossRef]

Xia, P.

Yatagai, T.

Appl. Opt. (5)

Appl. Phys. Lett. (1)

C. Barriere and D. Royer, Appl. Phys. Lett. 79, 878 (2001).
[CrossRef]

IEEE Trans. Commun. Technol. (1)

S. Weinstein and P. Ebert, IEEE Trans. Commun. Technol. 19, 628 (1971).
[CrossRef]

IEEE Trans. Ultrason. Ferroelectr. Freq. Control (1)

P. Psota, V. Ledl, R. Dolecek, J. Erhart, and V. Kopecky, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 59, 1962 (2012).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Express (2)

Opt. Lett. (3)

Other (1)

V. Ledl, J. Vaclavik, R. Dolecek, and V. Kopecky, in 9th International Conference on Vibration Measurements by Laser and Non Contact Techniques (AIVELA) (AIP, 2010).

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Figures (3)

Fig. 1.
Fig. 1.

Sketch of the acquisition setup.

Fig. 2.
Fig. 2.

(a) Magnitude of the spectrum of the object field E whose phase is modulated at 10 kHz, showing the first lateral bands |E±1| and the nonshifted component |E0| (supply voltage: 1 V); (b) magnitude of the spectrum of the dual LO ELO=ELO1+ELO2; and (c) magnitude of the discrete Fourier transform H˜, showing the bands of order 0 and +1 shifted within the temporal bandwidth of the camera.

Fig. 3.
Fig. 3.

Modulation amplitude versus PZT supply voltage: theoretical curve (line), sequential single LO measurement (triangles), dual LO measurement (circles). Insets: complex constellation diagrams of H˜(ωS/4)/H˜(ωS/4) at 0.1 and 4 V with both approaches; axis ranges at a given supply voltage are the same.

Equations (9)

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

E=n=En=n=Enei(ωL+nω)t.
En=EJn(ϕ0)
zλ2πJ1(ϕ0)J0(ϕ0).
ELO1=ELO1exp[i(ωL+ωS/4)t],
ELO2=ELO2exp[i(ωL+ωωS/4)t],
I=|nEn+ELO1+ELO2|2.
H(t)=E0ELO1*eiωSt/4+E1ELO2*eiωSt/4,
H˜(ωk)=p=1NHpexp(2ipkπ/N),
zλ2παβ|H˜(ωS/4)/H˜(ωS/4)|,

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