Abstract

A digital three-color holographic interferometer was designed to analyze the variations in refractive index induced by a candle flame. Color holograms are generated and recorded with a three layer photodiode stack sensor allowing a simultaneous recording with a high spatial resolution. Phase maps are calculated using Fourier transform and spectral filtering is applied to eliminate parasitic diffraction orders. Then, the contribution along each color is obtained with the simultaneous three wavelength measurement. Results in the case of the candle flame are presented. Zero order fringe, meaning zero optical path difference, can be easily extracted from the experimental data, either by considering a modeled colored fringe pattern or the wrapped phases along the three wavelengths.

© 2008 Optical Society of America

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References

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2007 (1)

2006 (4)

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

C. Pérez-López, M. H. De la Torre-Ibarra, and F. M. Santoyo, "Very high speed cw digital holographic interferometry," Opt. Express 14, 9709-9715 (2006).
[CrossRef] [PubMed]

J. M. Desse and J. L. Tribillon, "State of the art of color interferometry at ONERA," J. Visualization 9, 363-371 (2006).
[CrossRef]

J. M. Desse, "Recent contribution in color interferometry and applications to high-speed flows," Opt. Laser Eng. 44, 304-320 (2006).
[CrossRef]

2005 (2)

2004 (2)

P. Picart, B. Diouf, E. Lolive, and J.-M. Berthelot, "Investigation of fracture mechanisms in resin concrete using spatially multiplexed digital Fresnel holograms," Opt. Eng. 43, 1169-1176 (2004).
[CrossRef]

J. M. Desse, F. Albe, and J. L. Tribillon, "Real-time color holographic interferometry devoted to 2D unsteady wake flows," J. Visualization 7, 217-224 (2004).
[CrossRef]

2003 (3)

2002 (1)

1997 (2)

T. H. Jeong, H. I. Bjelkhagen, and L. M. Spoto, "Holographic interferometry with multiple wavelengths," Appl. Opt. 36, 3686-3688 (1997).
[CrossRef] [PubMed]

J. M. Desse, "Recording and processing of interferograms by spectral characterization of the interferometric setup," Exp. Fluids 23, 265-271 (1997)
[CrossRef]

Appl. Opt. (4)

Exp. Fluids (1)

J. M. Desse, "Recording and processing of interferograms by spectral characterization of the interferometric setup," Exp. Fluids 23, 265-271 (1997)
[CrossRef]

J. Holo. Speckle (1)

J. M. Desse, F. Albe, and J. L. Tribillon, "Color transmission and reflection holographic interferometry applied to fluids mechanics," J. Holo. Speckle (to be published).

J. Visualization (2)

J. M. Desse, F. Albe, and J. L. Tribillon, "Real-time color holographic interferometry devoted to 2D unsteady wake flows," J. Visualization 7, 217-224 (2004).
[CrossRef]

J. M. Desse and J. L. Tribillon, "State of the art of color interferometry at ONERA," J. Visualization 9, 363-371 (2006).
[CrossRef]

Opt. Eng. (1)

P. Picart, B. Diouf, E. Lolive, and J.-M. Berthelot, "Investigation of fracture mechanisms in resin concrete using spatially multiplexed digital Fresnel holograms," Opt. Eng. 43, 1169-1176 (2004).
[CrossRef]

Opt. Express (4)

Opt. Las. Eng. (1)

J. M. Desse, "Recent contribution in color interferometry and applications to high-speed flows," Opt. Laser Eng. 44, 304-320 (2006).
[CrossRef]

Opt. Lett. (2)

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Figures (8)

Fig. 1.
Fig. 1.

Digital three-color holographic interferometer

Fig. 2.
Fig. 2.

Color sensitivity and laser lines

Fig. 3.
Fig. 3.

Recording of reference and probe holograms

Fig. 4.
Fig. 4.

Reference spectra (top) and probe spectra (bottom) represented in dB

Fig. 5.
Fig. 5.

Phase maps for the blue light

Fig. 6.
Fig. 6.

Comparison between experimental and numerical color fringes

Fig. 7.
Fig. 7.

Profiles of RGB synthesized fringes versus amplitude of R, G and B components

Fig. 8.
Fig. 8.

Profiles of the three wrapped phase data

Equations (14)

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H λ ( x , y ) = O 0 ( x , y ) + R ( x , y ) O * ( x , y ) + R * ( x , y ) O ( x , y )
H λ ( x , y ) = O 0 ( x , y ) + O ( x , y ) exp [ 2 i π ( u λ x + ν λ y ) ] + O * ( x , y ) exp [ 2 i π ( u λ x + ν λ y ) ]
H λ ( x , y ) = O 0 ( x , y ) + b λ ( x , y ) exp [ i φ λ ( x , y ) ] exp [ 2 i π ( u λ x + ν λ y ) ]
+ b λ ( x , y ) exp [ i φ λ ( x , y ) ] exp [ 2 i π ( u λ x + ν λ y ) ]
H ˜ λ ( u , ν ) = A λ ( u , ν ) + C λ ( u u λ , ν ν λ ) + C λ * ( u + u λ , ν + ν λ )
c ̂ λ ( x , y ) { b λ ( x , y ) exp [ i φ λ ( x , y ) ] exp [ 2 i π ( u λ x + ν λ y ) ] } * h ( x , y )
h ( x , y ) = Δ u Δ ν exp [ 2 i π ( u λ x + ν λ y ) ] sinc ( π Δ u x ) sinc ( π Δ ν y )
ξ λ R ( x , y ) = φ λ ( x , y ) + 2 π u λ x + 2 π ν λ y = arctan ( m [ c ̂ ( x , y ) ] e [ c ̂ ( x , y ) ] )
b ̂ λ ( x , y ) = m 2 [ c ̂ ( x , y ) ] + e 2 [ c ̂ ( x , y ) ]
δ = λ 4 π Δ φ λ
Δ u ν GB = λ G λ B λ G 2 sin 2 θ x + sin 2 θ y = 215.75 sin 2 θ x + sin 2 θ y ( mm 1 )
Δ u ν GR = λ R λ G λ G 2 sin 2 θ x + sin 2 θ y = 503.41 sin 2 θ x + sin 2 θ y ( mm 1 )
I λ = b ̂ λ [ 1 + cos ( Δ φ λ ) ]
I RGB = λ = R , G , B I λ

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