Abstract

We present a new optical deflection tomography method that takes advantage of the phase-shifting schlieren. The reconstruction algorithm is based on filtered backprojection. The instrument is well adapted for three- dimensional imaging of spatially sparse objects exhibiting large refractive index variations. It achieves a 35μm resolution with a 3mm depth of field. Its performance is illustrated with a bundle of fibers immersed in a matching index solution.

© 2010 Optical Society of America

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2010

S. Akamatsu, M. Perrut, S. Bottin-Rousseau, and G. FaivrePhys. Rev. Lett. 104, 056101 (2010).
[CrossRef] [PubMed]

2009

2008

2007

2006

B. Zhang, Y. Song, Y. Song, and A. He, Opt. Eng. 45, 117002(2006).
[CrossRef]

2005

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

2003

2002

V. Lauer, J. Microsc. 205, 165 (2002).
[CrossRef] [PubMed]

1997

1988

1987

Akamatsu, S.

S. Akamatsu, M. Perrut, S. Bottin-Rousseau, and G. FaivrePhys. Rev. Lett. 104, 056101 (2010).
[CrossRef] [PubMed]

Badizadegan, K.

Bottin-Rousseau, S.

S. Akamatsu, M. Perrut, S. Bottin-Rousseau, and G. FaivrePhys. Rev. Lett. 104, 056101 (2010).
[CrossRef] [PubMed]

Byer, R. L.

Choi, W.

Dasari, R. R.

Dewandel, J.-L.

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

Dubois, F.

Eiju, T.

Faivre, G.

S. Akamatsu, M. Perrut, S. Bottin-Rousseau, and G. FaivrePhys. Rev. Lett. 104, 056101 (2010).
[CrossRef] [PubMed]

Fang-Yen, C.

Faris, G. W.

Feld, M. S.

Gorski, W.

Hariharan, P.

Häusler, G.

He, A.

B. Zhang, Y. He, Y. Song, and A. He, Opt. Laser Eng. 47, 1183 (2009).
[CrossRef]

B. Zhang, Y. Song, Y. Song, and A. He, Opt. Eng. 45, 117002(2006).
[CrossRef]

He, Y.

B. Zhang, Y. He, Y. Song, and A. He, Opt. Laser Eng. 47, 1183 (2009).
[CrossRef]

Heraud, M.

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

Herman, G. T.

G. T. Herman, Fundamentals from Computerized Tomography: Image Reconstruction from Projections (Springer-Verlag, 2009).

Huntley, J. M.

Joannes, L.

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

L. Joannes, F. Dubois, and J.-C. Legros, Appl. Opt. 42, 5046(2003).
[CrossRef] [PubMed]

Knauer, M.

Lanen, T.

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

Lauer, V.

V. Lauer, J. Microsc. 205, 165 (2002).
[CrossRef] [PubMed]

Legros, J.-C.

Leitz, K.-H.

Mathes, M.

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

Oreb, B. F.

Osten, W.

Perrut, M.

S. Akamatsu, M. Perrut, S. Bottin-Rousseau, and G. FaivrePhys. Rev. Lett. 104, 056101 (2010).
[CrossRef] [PubMed]

Rex, S.

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

Richter, C.

Saldner, H. O.

Song, Y.

B. Zhang, Y. He, Y. Song, and A. He, Opt. Laser Eng. 47, 1183 (2009).
[CrossRef]

B. Zhang, Y. Song, Y. Song, and A. He, Opt. Eng. 45, 117002(2006).
[CrossRef]

B. Zhang, Y. Song, Y. Song, and A. He, Opt. Eng. 45, 117002(2006).
[CrossRef]

Sung, Y.

Zhang, B.

B. Zhang, Y. He, Y. Song, and A. He, Opt. Laser Eng. 47, 1183 (2009).
[CrossRef]

B. Zhang, Y. Song, Y. Song, and A. He, Opt. Eng. 45, 117002(2006).
[CrossRef]

Appl. Opt.

J. Microsc.

V. Lauer, J. Microsc. 205, 165 (2002).
[CrossRef] [PubMed]

Opt. Eng.

B. Zhang, Y. Song, Y. Song, and A. He, Opt. Eng. 45, 117002(2006).
[CrossRef]

Opt. Express

Opt. Laser Eng.

B. Zhang, Y. He, Y. Song, and A. He, Opt. Laser Eng. 47, 1183 (2009).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

S. Akamatsu, M. Perrut, S. Bottin-Rousseau, and G. FaivrePhys. Rev. Lett. 104, 056101 (2010).
[CrossRef] [PubMed]

Proc. SPIE

J.-L. Dewandel, M. Heraud, S. Rex, M. Mathes, T. Lanen, and L. Joannes, Proc. SPIE 5856, 800(2005).
[CrossRef]

Other

G. T. Herman, Fundamentals from Computerized Tomography: Image Reconstruction from Projections (Springer-Verlag, 2009).

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Figures (5)

Fig. 1
Fig. 1

Experimental setup: BL, backlight source; L, lens; P, pinhole; C, camera; TL, telecentric lens; and O, object under test.

Fig. 2
Fig. 2

Typical deflection measurement for (a) given viewing angle and (b) reconstructed 2D slice of the bundle of 10 fibers.

Fig. 3
Fig. 3

Coordinate definition: o x y and o x y are the references attached to the object and aligned with the incident light rays, respectively. The double line represents a light ray deflected by angle ϕ at viewing angle θ.

Fig. 4
Fig. 4

Refractive index distributions (a) along the line ( y = 0 mm , z = 0.40 mm ) and (b) in the vertical plane y = 0 mm .

Fig. 5
Fig. 5

Reconstructed shapes of the bundle of 29 fibers measured by means of deflection tomography (the constant background is subtracted): (a) 2D slice, (b) 3D profile.

Equations (3)

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d d x [ n d r d x ] = n ( r ) ,
ϕ ( y , θ ) = 1 n 0 n ( x , y ) y δ ( y cos θ x sin θ y ) dxd y ,
n ( x , y ) = 1 n 0 FT 1 ( FT ( ϕ ( y , θ ) ) ρ ˜ ( k y , θ ) ) d θ ,

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