Abstract

We present an optical system that performs Stokes polarimetric imaging with a single-pixel detector. This fact is possible by applying the theory of compressive sampling to the data acquired by a commercial polarimeter without spatial resolution. The measurement process is governed by a spatial light modulator, which sequentially generates a set of preprogrammed light intensity patterns. Experimental results are presented and discussed for an object that provides an inhomogeneous polarization distribution.

© 2012 Optical Society of America

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References

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2011 (1)

2008 (5)

H. Song, Y. Zhao, X. Qi, Y. Toco Chui, and S. A. Burns, Opt. Lett. 33, 137 (2008).
[CrossRef]

E. J. Candès and M. B. Wakin, IEEE Signal Process. Mag. 25, 21 (2008).
[CrossRef]

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

P. Terrier, V. Devlaminck, and J. M. Charbois, J. Opt. Soc. Am. A 25, 423 (2008).
[CrossRef]

2006 (1)

2005 (1)

V. Durán, J. Lancis, E. Tajahuerce, and Z. Jaroszewicz, J. Appl. Phys. 97, 043101 (2005).
[CrossRef]

2004 (1)

2002 (2)

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

2000 (1)

1999 (1)

1997 (1)

1996 (1)

R. Oldenbourg, Nature 381, 811 (1996).
[CrossRef]

1994 (1)

1981 (1)

Abolbashari, M.

Alfano, R. R.

Araujo, F. M.

Baba, J. S.

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

Baraniuk, R. G.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

Bergstralh, J.

Brosseau, C.

C. Brosseau, Fundamentals of Polarized Light, 1st ed.(Wiley, 1998).

Burns, S. A.

Cameron, B. D.

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

Candès, E. J.

E. J. Candès and M. B. Wakin, IEEE Signal Process. Mag. 25, 21 (2008).
[CrossRef]

Chan, W. L.

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

Charan, K.

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

Charbois, J. M.

Chenault, D. B.

Chung, J. R.

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

Correira, M. V.

Cote, G. L.

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

Davenport, M. A.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

Davis, S. R.

S. R. Davis, R. J. Uberna, and R. A. Herke, “Retardance sweep polarimeter and method,” U.S. patent 6,744,509 (June1, 2004).

de Boer, J. F.

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

De Martino, A.

DeLaughter, A. H.

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

Demos, S. G.

Dereniak, E. L.

Descour, M. R.

Devlaminck, V.

Drévillon, B.

Duarte, M. F.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

Durán, V.

V. Durán, J. Lancis, E. Tajahuerce, and Z. Jaroszewicz, J. Appl. Phys. 97, 043101 (2005).
[CrossRef]

Farahi, F.

Glenar, D. A.

Goldstein, D. L.

Herke, R. A.

S. R. Davis, R. J. Uberna, and R. A. Herke, “Retardance sweep polarimeter and method,” U.S. patent 6,744,509 (June1, 2004).

Hillman, J. J.

Jaroszewicz, Z.

V. Durán, J. Lancis, E. Tajahuerce, and Z. Jaroszewicz, J. Appl. Phys. 97, 043101 (2005).
[CrossRef]

Kato, T.

Kelly, K. F.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

Kemme, S. A.

Lancis, J.

V. Durán, J. Lancis, E. Tajahuerce, and Z. Jaroszewicz, J. Appl. Phys. 97, 043101 (2005).
[CrossRef]

Laska, J. N.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

Laude-Boulesteix, B.

Magalhaes, F.

Milner, T. E.

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

Mittleman, D. M.

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

Oka, K.

Oldenbourg, R.

R. Oldenbourg, Nature 381, 811 (1996).
[CrossRef]

Phipps, G. S.

Qi, X.

Sabatke, D. S.

Saif, B.

Schwartz, L.

Shaw, J. A.

Solomon, J. E.

Song, H.

Sun, T.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

Sweatt, W. C.

Tajahuerce, E.

V. Durán, J. Lancis, E. Tajahuerce, and Z. Jaroszewicz, J. Appl. Phys. 97, 043101 (2005).
[CrossRef]

Takhar, D.

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

Terrier, P.

Toco Chui, Y.

Tyo, J. S.

Uberna, R. J.

S. R. Davis, R. J. Uberna, and R. A. Herke, “Retardance sweep polarimeter and method,” U.S. patent 6,744,509 (June1, 2004).

Wakin, M. B.

E. J. Candès and M. B. Wakin, IEEE Signal Process. Mag. 25, 21 (2008).
[CrossRef]

Zhao, Y.

Appl. Opt. (6)

Appl. Phys. Lett. (1)

W. L. Chan, K. Charan, D. Takhar, K. F. Kelly, R. G. Baraniuk, and D. M. Mittleman, Appl. Phys. Lett. 93, 121105(2008).
[CrossRef]

IEEE Signal Process. Mag. (2)

E. J. Candès and M. B. Wakin, IEEE Signal Process. Mag. 25, 21 (2008).
[CrossRef]

M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. F. Kelly, and R. G. Baraniuk, IEEE Signal Process. Mag. 25(2), 83 (2008).
[CrossRef]

J. Appl. Phys. (1)

V. Durán, J. Lancis, E. Tajahuerce, and Z. Jaroszewicz, J. Appl. Phys. 97, 043101 (2005).
[CrossRef]

J. Biomed. Opt. (2)

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

J. S. Baba, J. R. Chung, A. H. DeLaughter, B. D. Cameron, and G. L. Cote, J. Biomed. Opt. 7, 341 (2002).
[CrossRef]

J. Opt. Soc. Am. A (1)

Nature (1)

R. Oldenbourg, Nature 381, 811 (1996).
[CrossRef]

Opt. Lett. (3)

Other (3)

S. R. Davis, R. J. Uberna, and R. A. Herke, “Retardance sweep polarimeter and method,” U.S. patent 6,744,509 (June1, 2004).

http:\\www.l1-magic.org .

C. Brosseau, Fundamentals of Polarized Light, 1st ed.(Wiley, 1998).

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Figures (3)

Fig. 1.
Fig. 1.

Scheme of the SP used as detector.

Fig. 2.
Fig. 2.

Setup for single-pixel imaging polarimetry. An example of a binary intensity pattern displayed by the SLM is also shown.

Fig. 3.
Fig. 3.

(a) High-resolution image (1024×1024pixels) of the object used in the experiment, which consists of an amplitude mask with a cellophane film covering the zone colored in yellow. Pseudocolor images (of 64×64pixels) for the Stokes parameters (b) σ1, (c) σ2, and (d) σ3.

Equations (2)

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IPD(δ1,δ2)=m00(δ1,δ2)I0+i=13m0i(δ1,δ2)Si,
y=Φx=Φ(Ψs)=Θs,

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