Abstract

We report a simple, compact electronic speckle-pattern interferometer (ESPI) incorporating holographic optical elements (HOEs) for the study of out-of-plane vibration. Reflection and transmission HOEs provide reference and object beams in the interferometer. The alignment difficulties with conventional ESPI systems are minimized using HOEs. The time-average ESPI subtraction method is used to generate the fringe pattern and remove background speckle noise by introducing a phase shift between consecutive images. The amplitude and phase maps are obtained using path-difference modulation.

© 2010 Optical Society of America

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2009 (1)

V. Bavigadda, V. Toal, R. Jallapuram, and E. Mihaylova, Proc. SPIE 7389, 73890H (2009).
[CrossRef]

2006 (1)

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

2002 (1)

1999 (1)

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

1997 (1)

A. Olszak and K. Patorski, Opt. Commun. 138, 265 (1997).
[CrossRef]

1996 (1)

V. Petrov and B. Lau, Opt. Eng. 35, 2363 (1996).
[CrossRef]

1994 (1)

H. Atcha and R. P. Tatam, Meas. Sci. Technol. 5, 704 (1994).
[CrossRef]

1991 (2)

1976 (2)

Atcha, H.

H. Atcha and R. P. Tatam, Meas. Sci. Technol. 5, 704 (1994).
[CrossRef]

Bavigadda, V.

V. Bavigadda, V. Toal, R. Jallapuram, and E. Mihaylova, Proc. SPIE 7389, 73890H (2009).
[CrossRef]

Connelly, M.

V. Toal, M. Whelan, M. Connelly, S. Martin, and G. T. S. Reddy, “A multipoint laser Doppler vibrometer,” International Patent Cooperation Treaty patent WO2009/044387 A2 (April 9, 2009).

Forno, C.

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

Guntaka, S. R.

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

S. R. Guntaka, V. Toal, and S. Martin, Appl. Opt. 41, 7475 (2002).
[CrossRef] [PubMed]

Harizanova, J.

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

Hogmoen, K.

Jallapuram, R.

V. Bavigadda, V. Toal, R. Jallapuram, and E. Mihaylova, Proc. SPIE 7389, 73890H (2009).
[CrossRef]

Joenathan, C.

Lau, B.

V. Petrov and B. Lau, Opt. Eng. 35, 2363 (1996).
[CrossRef]

Lokberg, O. J.

Martin, S.

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

S. R. Guntaka, V. Toal, and S. Martin, Appl. Opt. 41, 7475 (2002).
[CrossRef] [PubMed]

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

V. Toal, M. Whelan, M. Connelly, S. Martin, and G. T. S. Reddy, “A multipoint laser Doppler vibrometer,” International Patent Cooperation Treaty patent WO2009/044387 A2 (April 9, 2009).

Mihaylova, E.

V. Bavigadda, V. Toal, R. Jallapuram, and E. Mihaylova, Proc. SPIE 7389, 73890H (2009).
[CrossRef]

O’Neill, F. T.

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

Olszak, A.

A. Olszak and K. Patorski, Opt. Commun. 138, 265 (1997).
[CrossRef]

Patorski, K.

A. Olszak and K. Patorski, Opt. Commun. 138, 265 (1997).
[CrossRef]

Petrov, V.

V. Petrov and B. Lau, Opt. Eng. 35, 2363 (1996).
[CrossRef]

Petrova, T.

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

Reddy, G. T. S.

V. Toal, M. Whelan, M. Connelly, S. Martin, and G. T. S. Reddy, “A multipoint laser Doppler vibrometer,” International Patent Cooperation Treaty patent WO2009/044387 A2 (April 9, 2009).

Sainov, V.

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

Santoyo, F. M.

Shellabear, M. C.

Tatam, R. P.

H. Atcha and R. P. Tatam, Meas. Sci. Technol. 5, 704 (1994).
[CrossRef]

Toal, V.

V. Bavigadda, V. Toal, R. Jallapuram, and E. Mihaylova, Proc. SPIE 7389, 73890H (2009).
[CrossRef]

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

S. R. Guntaka, V. Toal, and S. Martin, Appl. Opt. 41, 7475 (2002).
[CrossRef] [PubMed]

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

V. Toal, M. Whelan, M. Connelly, S. Martin, and G. T. S. Reddy, “A multipoint laser Doppler vibrometer,” International Patent Cooperation Treaty patent WO2009/044387 A2 (April 9, 2009).

Tyrer, J. R.

Whelan, M.

V. Toal, M. Whelan, M. Connelly, S. Martin, and G. T. S. Reddy, “A multipoint laser Doppler vibrometer,” International Patent Cooperation Treaty patent WO2009/044387 A2 (April 9, 2009).

Whelan, M. P.

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

Appl. Opt. (4)

J. Opt. A Pure Appl. Opt. (1)

S. R. Guntaka, V. Sainov, V. Toal, S. Martin, T. Petrova, and J. Harizanova, J. Opt. A Pure Appl. Opt. 8, 182 (2006).
[CrossRef]

J. Phys. E (1)

O. J. Lokberg and K. Hogmoen, J. Phys. E 9, 847 (1976).
[CrossRef]

Meas. Sci. Technol. (1)

H. Atcha and R. P. Tatam, Meas. Sci. Technol. 5, 704 (1994).
[CrossRef]

Opt. Commun. (1)

A. Olszak and K. Patorski, Opt. Commun. 138, 265 (1997).
[CrossRef]

Opt. Eng. (1)

V. Petrov and B. Lau, Opt. Eng. 35, 2363 (1996).
[CrossRef]

Proc. SPIE (2)

M. P. Whelan, C. Forno, S. Martin, F. T. O’Neill, and V. Toal, Proc. SPIE 3744, 540 (1999).
[CrossRef]

V. Bavigadda, V. Toal, R. Jallapuram, and E. Mihaylova, Proc. SPIE 7389, 73890H (2009).
[CrossRef]

Other (4)

V. Toal, M. Whelan, M. Connelly, S. Martin, and G. T. S. Reddy, “A multipoint laser Doppler vibrometer,” International Patent Cooperation Treaty patent WO2009/044387 A2 (April 9, 2009).

P.K.Rastogi, ed., Digital Speckle Pattern Interferometry and Related Techniques (Wiley, 2001).

http://www.geola.lt/lt/holography_materials/chemistry/.

http://www.optics.bas.bg/index.php?lang=en&page=11.

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Figures (3)

Fig. 1
Fig. 1

Recording setup for HOEs: reflection hologram of a diffuser and transmission grating.

Fig. 2
Fig. 2

Out-of-plane sensitive HOE-based ESPI system.

Fig. 3
Fig. 3

Circular plate vibrating at 5600 Hz : (a) ordinary time-average fringes. Time-average fringes by modulating the laser wavelength (b) Δ λ = 1.16 pm and (c) Δ λ = 1.16 pm with 180 ° phase shift.

Equations (6)

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

B = 4 I 0 I r | J 0 ( 4 π λ a 0 ) cos ( φ ) | ,
B = 4 I 0 I r | J 0 ( 4 π λ { a 0 2 + a r 2 2 a 0 a r cos ( φ 0 φ r ) } 1 / 2 ) cos ( φ ) | .
B = 16 I 0 I r | J 0 ( 4 π λ { a 0 2 + a r 2 2 a 0 a r cos ( φ 0 φ r ) } 1 / 2 ) cos ( φ ) | 2 .
Φ = 2 π λ ( 2 l ) .
Δ Φ = 4 π l λ 2 ( d λ d i ) Δ i .
a r = 2 l λ ( d λ d i ) Δ i .

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