Abstract

We present a device for measuring displacement based on the Talbot and the nonsteady photo-electromotive force effects. The proposed device does not require any numerical signal processing since its output signal is, in appropriate regions, linearly related to the measured displacement. The proposed system requires an illuminating field with a sinusoidal amplitude distribution and low fringe visibility. The dynamic range can be adjusted according to the illuminating field spatial period or wavelength. Displacements with an estimated resolution better than 10 μm in a dynamic range of 1.5 mm were detected using a sinusoidal amplitude grating with a period d=100μm.

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References

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  1. H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
    [CrossRef]
  2. L. Rayleigh, Philos. Mag. 11, 196 (1881).
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  10. P. Chavel and T. C. Strand, Appl. Opt. 23, 862 (1984).
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  11. G. Schirripa Spagnolo and D. Ambrosini, Meas. Sci. Technol. 11, 77 (2000).
    [CrossRef]
  12. G. Schirripa Spagnolo, D. Ambrosini, and D. Paoletti, J. Opt. A 4, S376 (2002).
    [CrossRef]
  13. D. S. Metha, S. K. Dubey, C. Shakher, and M. Takeda, Appl. Opt. 45, 7602 (2006).
    [CrossRef]
  14. S. K. Dubey, D. S. Metha, A. Roy, and C. Shakher, Opt. Commun. 279, 13 (2007).
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    [CrossRef]
  16. S. Stepanov, in Handbook of Advanced Electronic and Photonics Materials and Devices, H. S. Nalwa, ed. (Academic2001) Vol 2, pp. 205–272.
  17. M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
    [CrossRef]

2012 (1)

2011 (1)

2008 (1)

2007 (1)

S. K. Dubey, D. S. Metha, A. Roy, and C. Shakher, Opt. Commun. 279, 13 (2007).

2006 (1)

2005 (2)

2002 (1)

G. Schirripa Spagnolo, D. Ambrosini, and D. Paoletti, J. Opt. A 4, S376 (2002).
[CrossRef]

2000 (1)

G. Schirripa Spagnolo and D. Ambrosini, Meas. Sci. Technol. 11, 77 (2000).
[CrossRef]

1994 (1)

1990 (1)

M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
[CrossRef]

1989 (2)

1984 (1)

1881 (1)

L. Rayleigh, Philos. Mag. 11, 196 (1881).

1836 (1)

H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Ambrosini, D.

G. Schirripa Spagnolo, D. Ambrosini, and D. Paoletti, J. Opt. A 4, S376 (2002).
[CrossRef]

G. Schirripa Spagnolo and D. Ambrosini, Meas. Sci. Technol. 11, 77 (2000).
[CrossRef]

Bhattacharya, J. C.

Chavel, P.

Danko, V.

Dhanotia, J.

Dubey, S. K.

S. K. Dubey, D. S. Metha, A. Roy, and C. Shakher, Opt. Commun. 279, 13 (2007).

D. S. Metha, S. K. Dubey, C. Shakher, and M. Takeda, Appl. Opt. 45, 7602 (2006).
[CrossRef]

Faridi, M. S.

Goloborodko, A.

Goloborodko, N.

Gómez-Sarabia, C. M.

Kotov, M.

Kurashov, V.

Metha, D. S.

S. K. Dubey, D. S. Metha, A. Roy, and C. Shakher, Opt. Commun. 279, 13 (2007).

D. S. Metha, S. K. Dubey, C. Shakher, and M. Takeda, Appl. Opt. 45, 7602 (2006).
[CrossRef]

Mirza, S.

S. Mirza and C. Shakher, Opt. Eng. 44, 013601 (2005).
[CrossRef]

Ojeda-Castañeda, J.

Paoletti, D.

G. Schirripa Spagnolo, D. Ambrosini, and D. Paoletti, J. Opt. A 4, S376 (2002).
[CrossRef]

Patorski, K.

K. Patorski, Prog. Opt. 47, 1 (1989).
[CrossRef]

Petrov, M. P.

M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
[CrossRef]

Podanchuk, D.

Prakash, S.

Pramila Daniel, A. J.

Rayleigh, L.

L. Rayleigh, Philos. Mag. 11, 196 (1881).

Rodríguez-Montero, P.

Roy, A.

S. K. Dubey, D. S. Metha, A. Roy, and C. Shakher, Opt. Commun. 279, 13 (2007).

Schirripa Spagnolo, G.

G. Schirripa Spagnolo, D. Ambrosini, and D. Paoletti, J. Opt. A 4, S376 (2002).
[CrossRef]

G. Schirripa Spagnolo and D. Ambrosini, Meas. Sci. Technol. 11, 77 (2000).
[CrossRef]

Shakher, C.

Singh, P.

Sirohi, R. S.

Sokolov, I. A.

M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
[CrossRef]

Stepanov, S.

S. Stepanov, in Handbook of Advanced Electronic and Photonics Materials and Devices, H. S. Nalwa, ed. (Academic2001) Vol 2, pp. 205–272.

Stepanov, S. I.

M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
[CrossRef]

Strand, T. C.

Takeda, M.

Talbot, H. F.

H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Trofimov, G. S.

M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
[CrossRef]

Appl. Opt. (8)

J. Appl. Phys. (1)

M. P. Petrov, I. A. Sokolov, S. I. Stepanov, and G. S. Trofimov, J. Appl. Phys. 68, 2216 (1990).
[CrossRef]

J. Opt. A (1)

G. Schirripa Spagnolo, D. Ambrosini, and D. Paoletti, J. Opt. A 4, S376 (2002).
[CrossRef]

Meas. Sci. Technol. (1)

G. Schirripa Spagnolo and D. Ambrosini, Meas. Sci. Technol. 11, 77 (2000).
[CrossRef]

Opt. Commun. (1)

S. K. Dubey, D. S. Metha, A. Roy, and C. Shakher, Opt. Commun. 279, 13 (2007).

Opt. Eng. (1)

S. Mirza and C. Shakher, Opt. Eng. 44, 013601 (2005).
[CrossRef]

Philos. Mag. (2)

H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

L. Rayleigh, Philos. Mag. 11, 196 (1881).

Prog. Opt. (1)

K. Patorski, Prog. Opt. 47, 1 (1989).
[CrossRef]

Other (1)

S. Stepanov, in Handbook of Advanced Electronic and Photonics Materials and Devices, H. S. Nalwa, ed. (Academic2001) Vol 2, pp. 205–272.

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Figures (3)

Fig. 1.
Fig. 1.

Experimental setup for measuring the displacements of a mirror-like object by the photo-emf detector. BS, beam splitter; M, mirror on a translation stage.

Fig. 2.
Fig. 2.

Experimental dependence of the photo-emf signal as a function of the mirror displacement. The light power impinging on the photo-emf detector from the grating is 0.52 mW and from the background is 0.36 mW. The fitting values are V0=510μV, VC=416μV, and ZT/4=8mm.

Fig. 3.
Fig. 3.

Photo-emf signal around the mirror’s position ζ=5.25mm. The measurements were taken with a lock-in time constant of 1 s.

Equations (6)

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

t(x)=12[1+mcos(2πxd)],
I(x,z)=14[1+2mcos(2πzZT)cos(2πxd)+m2cos2(2πxd)].
V(z)|2mcos(2πzZT)|.
JΩ=CI0δV2,
JΩ(z)=4m2CI0δ{12+12cos[2πz(ZT/2)]}.
VΩ=V0+VCcos(2πzZT/4),

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