Abstract

A polarimetric imaging method of a 3D object by use of on-axis phase-shifting digital holography is presented. The polarimetric image results from a combination of two kinds of holographic imaging using orthogonal polarized reference waves. Experimental demonstration of a 3D polarimetric imaging is presented.

© 2007 Optical Society of America

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References

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2006 (2)

2004 (3)

T. Colomb, E. Cuche, F. Montfort, P. Marquet, and Ch. Depeursinge, Opt. Commun. 231, 137 (2004).
[CrossRef]

O. Matoba and B. Javidi, Opt. Lett. 29, 2375 (2004).
[CrossRef] [PubMed]

T. Nomura, K. Uota, and Y. Morimoto, Opt. Eng. 43, 2228 (2004).
[CrossRef]

2003 (1)

2002 (2)

2001 (1)

2000 (1)

1997 (1)

1967 (1)

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Baumbach, T.

Chun, C. L.

Colomb, T.

T. Colomb, E. Cuche, F. Montfort, P. Marquet, and Ch. Depeursinge, Opt. Commun. 231, 137 (2004).
[CrossRef]

Cuche, E.

T. Colomb, E. Cuche, F. Montfort, P. Marquet, and Ch. Depeursinge, Opt. Commun. 231, 137 (2004).
[CrossRef]

Depeursinge, Ch.

T. Colomb, E. Cuche, F. Montfort, P. Marquet, and Ch. Depeursinge, Opt. Commun. 231, 137 (2004).
[CrossRef]

Goodman, J. W.

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Javidi, B.

Jüptner, W.

Kreis, T.

T. Kreis, Handbook of Holographic Interferometry (Wiley-VCH, 2005).

Lawrence, R. W.

J. W. Goodman and R. W. Lawrence, Appl. Phys. Lett. 11, 77 (1967).
[CrossRef]

Marquet, P.

T. Colomb, E. Cuche, F. Montfort, P. Marquet, and Ch. Depeursinge, Opt. Commun. 231, 137 (2004).
[CrossRef]

Matoba, O.

Montfort, F.

T. Colomb, E. Cuche, F. Montfort, P. Marquet, and Ch. Depeursinge, Opt. Commun. 231, 137 (2004).
[CrossRef]

Morimoto, Y.

T. Nomura, K. Uota, and Y. Morimoto, Opt. Eng. 43, 2228 (2004).
[CrossRef]

Murata, S.

Nitanai, E.

Nomura, T.

Numata, T.

Osten, W.

Pedrini, G.

Réfrégier, P.

Roueff, A.

Sadjadi, F. A.

Tajahuerce, E.

Tiziani, H. J.

Uota, K.

T. Nomura, K. Uota, and Y. Morimoto, Opt. Eng. 43, 2228 (2004).
[CrossRef]

Yamaguchi, I.

Zhang, T.

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Figures (4)

Fig. 1
Fig. 1

Optical setup for polarimetric imaging by use of digital holography: SF1, SF2, spatial filters; CL1, CL2, collimating lenses; BSl, BS2, beam splitters; M1, M2, mirrors; O, object; A, analyzer; HWP, half-wave plate; QWP, quarter-wave plate.

Fig. 2
Fig. 2

(a) Randomly polarized object and (b) a polarimetric object.

Fig. 3
Fig. 3

Gray-scale images according to the Stokes parameters (a) S 0 ( X , Y ) , (b) S 1 ( X , Y ) , (c) S 2 ( X , Y ) , and (d) S 3 ( X , Y ) for a randomly polarized object.

Fig. 4
Fig. 4

Gray-scale images according to the Stokes parameters (a) S 0 ( X , Y ) , (b) S 1 ( X , Y ) , (c) S 1 ( X , Y ) , (d) S 2 ( X , Y ) , and (e) S 3 ( X , Y ) for a polarimetric object.

Equations (14)

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u o h ( x , y ) = a o h ( x , y ) exp [ i ϕ o h ( x , y ) ] ,
u r h ( x , y ) = a r h ( x , y ) exp [ i ϕ r h ( x , y ) + α ] ,
u o v ( x , y ) = a o v ( x , y ) exp [ i ϕ o v ( x , y ) ] ,
u r v ( x , y ) = a r v ( x , y ) exp [ i ϕ r v ( x , y ) + α ] ,
I v ( x , y , α ) = a o v 2 ( x , y ) + a r v 2 ( x , y ) + 2 a o v ( x , y ) a r v ( x , y ) × cos [ ϕ o v ( x , y ) { ϕ r v ( x , y ) + α } ] .
I v ( x , y , 0 ) = a o v 2 ( x , y ) + a r v 2 ( x , y ) + 2 a o v ( x , y ) a r v ( x , y ) × cos { ϕ o v ( x , y ) ϕ r v ( x , y ) } ,
I v ( x , y , π 2 ) = a o v 2 ( x , y ) + a r v 2 ( x , y ) + 2 a o v ( x , y ) a r v ( x , y ) × sin { ϕ o v ( x , y ) ϕ r v ( x , y ) } .
I r v ( x , y ) = a r v 2 ( x , y ) ,
I o v ( x , y ) = a o v 2 ( x , y ) ,
a o v ( x , y ) = I o v ( x , y ) ,
ϕ o v ( x , y ) = tan 1 I v ( x , y , π 2 ) I o v ( x , y ) I r v ( x , y ) I v ( x , y , 0 ) I o v ( x , y ) I r v ( x , y ) + ϕ r v ( x , y ) .
S = [ S 0 ( X , Y ) S 1 ( X , Y ) S 2 ( X , Y ) S 3 ( X , Y ) ] = [ A o h 2 ( X , Y ) + A o v 2 ( X , Y ) A o h 2 ( X , Y ) A o v 2 ( X , Y ) 2 A o h ( X , Y ) A o v ( X , Y ) cos ε ( X , Y ) 2 A o h ( X , Y ) A o v ( X , Y ) sin ε ( X , Y ) ] ,
ε ( X , Y ) = Φ o h ( X , Y ) Φ o v ( X , Y ) .
S 1 ( X , Y ) = A o v 2 ( X , Y ) A o h 2 ( X , Y ) .

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