Abstract

A new technique, referred to as Stokes holography, is proposed and experimentally demonstrated for controlled synthesis of generalized Stokes parameters in 3D space using Stokes fringes. Stokes fringes are polarization fringes which permit to record and reconstruct complete wavefront. Full use of Stokes fringes in a single step is realized by scattering complex field and subsequently reconstructing using spatial averaging of the randomly scattered field. Mathematical formulations are derived and supported by experimental results of 3D object reconstruction in generalized Stokes parameters.

© 2012 Optical Society of America

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References

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2011

2010

D. N. Naik, T. Ezawa, Y. Miyamoto, and Mitsuo Takeda, Opt. Express 18, 13782 (2010).
[CrossRef]

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 7782, 778209 (2010).

2009

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

2007

2006

2005

2002

1982

M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. A 72, 156 (1982).
[CrossRef]

1965

Beghuin, P.

Chenault, D. B.

Collett, E.

E. Collett, Polarized Light (Marcel Dekker, 1993).

Colomb, T.

Cuche, E.

Dahlgren, P.

Depeursinge, C.

Duan, Z.

Emoto, A.

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

Ezawa, T.

Friberg, A. T.

Goldstein, D. L.

Ina, H.

M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. A 72, 156 (1982).
[CrossRef]

Itou, H.

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 8082, 808208 (2011).

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Opt. Express 19, 11558 (2011).

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 7782, 778209 (2010).

Javidi, B.

Kawatsuki, N.

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

Kobayashi, S.

M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. A 72, 156 (1982).
[CrossRef]

Korotkova, O.

Lohman, A. W.

Marquet, P.

Miyamoto, Y.

Murata, S.

Naik, D. N.

Nitanai, E.

Nomura, T.

Numata, T.

Ono, H.

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

Sasaki, T.

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

Setala, T.

Shaw, J. A.

Shioda, T.

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

Singh, R. K.

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Opt. Express 19, 11558 (2011).

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 8082, 808208 (2011).

D. N. Naik, R. K. Singh, T. Ezawa, Y. Miyamoto, and M. Takeda, Opt. Express 19, 1408 (2011).
[CrossRef]

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 7782, 778209 (2010).

Takeda, M.

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 8082, 808208 (2011).

D. N. Naik, R. K. Singh, T. Ezawa, Y. Miyamoto, and M. Takeda, Opt. Express 19, 1408 (2011).
[CrossRef]

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Opt. Express 19, 11558 (2011).

R. K. Singh, D. N. Naik, H. Itou, Y. Miyamoto, and M. Takeda, Proc. SPIE 7782, 778209 (2010).

M. Takeda, W. Wang, Z. Duan, and Y. Miyamoto, Opt. Express 13, 9629 (2005).
[CrossRef]

M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. A 72, 156 (1982).
[CrossRef]

Takeda, Mitsuo

Tervo, J.

Tyo, J. S.

Wakabayashi, H.

H. Ono, H. Wakabayashi, T. Sasaki, A. Emoto, T. Shioda, and N. Kawatsuki, Appl. Phys. Lett. 94, 071114 (2009).

Wang, W.

Wolf, E.

Supplementary Material (8)

» Media 1: MPG (1824 KB)     
» Media 2: MPG (2085 KB)     
» Media 3: MPG (2412 KB)     
» Media 4: MPG (2420 KB)     
» Media 5: MPG (3401 KB)     
» Media 6: MPG (3394 KB)     
» Media 7: MPG (3379 KB)     
» Media 8: MPG (3378 KB)     

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Figures (2)

Fig. 1.
Fig. 1.

Experimental setup for generation of polarization fringes and detection of scattered field from ground glass.

Fig. 2.
Fig. 2.

Distribution of generalized Stokes parameters in 3D space. Amplitude distribution: (a) S0(Δr,Δz=130mm) (Media 1); (b) S1(Δr,Δz=130mm) (Media 2); (c) S2(Δr,Δz=130mm) (Media 3); (d) S3(Δr,Δz=130mm) (Media 4); corresponding phase distribution (e) S0(Δr,Δz=130mm) (Media 5); (f) S1(Δr,Δz=130mm) (Media 6); (g) S2(Δr,Δz=130mm) (Media 7); (h) S3(Δr,Δz=130mm) (Media 8).

Equations (11)

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Epo(r^)=exp[iπλfr^2]Ep(ro)exp[i2πλf(ro·r^)]dro,
EpR(r^)=Apexp[iπλfr^2].
Ep(r^)=Epo(r^)+EpR(r^).
s0(r^)=|Ex(ro)exp[i2πλf(ro·r^)]dro|2+1,
s1(r^)=|Ex(ro)exp[i2πλf(ro·r^)]dro|21,
s2(r^)=Ex(ro)exp(i2πλfr^·ro)dro+Ex*(ro)exp(i2πλfr^·ro)dro,
s3(r^)=iEx(ro)exp(i2πλfr^·ro)droiEx*(ro)exp(ikfr^·ro)dro.
EpG(r^)=Ep(r^)exp[iϕp(r^)],
Ep(r,z)=EpG(r^)exp[ikz(r^)z]exp[i2πλfr·r^]dr^,
Ep*(r1,z1)Ep(r2,z1+Δz)R=Ep*(r^1)Ep(r^2)exp[ikz(r^2)z2]exp[ikz(r^1)z1]exp[i2πλf((r^2r^1)·r1+r^2·Δr)]dr^1dr^2dr1=Ep*(r^)Ep(r^)exp[ikz(r^)Δz]exp[i2πλf(Δr·r^)]dr^.
Sn(Δr,Δz)=sn(r^)exp[ikz(r^)Δz]exp[i2πλfr^·Δr]dr^.

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