Abstract

We experimentally demonstrate that imaging of the degree of polarization (DOP) can be achieved from a single intensity image acquired under coherent illumination. This computational technique is based on the analysis of the speckle characteristics in a statistically homogeneous neighborhood of the pixel. Over a variety of samples obtained experimentally, we show that a simple calibration step allows this method to quickly and simply provide correct estimated values of the DOP, with precision in agreement with theoretical predictions. It is shown that unlike linear polarimetric contrast imaging, this method remains valid on birefringent samples.

© 2012 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
  5. J. Fade, M. Roche, and P. Réfrégier, J. Opt. Soc. Am. A 25, 483 (2008).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  8. J. W. Goodman, in Speckle Phenomena in Optics: Theory and Applications (Roberts, 2007), Chap. 3.
  9. E. Collett, Polarized Light: Fundamentals and Applications (Dekker, 1993).
  10. M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
    [CrossRef]

2010 (1)

2008 (3)

J. Fade, M. Roche, and P. Réfrégier, J. Opt. Soc. Am. A 25, 483 (2008).
[CrossRef]

J. Fade, P. Réfrégier, and M. Roche, J. Opt. A: Pure Appl. Opt. 10, 115301 (2008).
[CrossRef]

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

2007 (1)

2006 (1)

2005 (1)

T. J. Schulz, Proc. SPIE 5888, 58880N (2005).
[CrossRef]

1999 (1)

S. Breugnot and P. Clémenceau, Proc. SPIE 3707, 449 (1999).
[CrossRef]

Alouini, M.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

Breugnot, S.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

S. Breugnot and P. Clémenceau, Proc. SPIE 3707, 449 (1999).
[CrossRef]

Chenault, D. B.

Clémenceau, P.

S. Breugnot and P. Clémenceau, Proc. SPIE 3707, 449 (1999).
[CrossRef]

Collett, E.

E. Collett, Polarized Light: Fundamentals and Applications (Dekker, 1993).

Dolfi, D.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

Fade, J.

Goldstein, D. L.

Goodman, J. W.

J. W. Goodman, in Speckle Phenomena in Optics: Theory and Applications (Roberts, 2007), Chap. 3.

Goudail, F.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

Hartemann, P.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

Le Hors, L.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

Réfrégier, P.

Roche, M.

Roux, N.

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

Schulz, T. J.

Shaw, J. A.

Tyo, J. S.

Wang, W.

Appl. Opt. (1)

Eur. Phys. J. Appl. Phys. (1)

M. Alouini, F. Goudail, N. Roux, L. Le Hors, P. Hartemann, S. Breugnot, and D. Dolfi, Eur. Phys. J. Appl. Phys. 42, 129 (2008).
[CrossRef]

J. Opt. A: Pure Appl. Opt. (1)

J. Fade, P. Réfrégier, and M. Roche, J. Opt. A: Pure Appl. Opt. 10, 115301 (2008).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Lett. (1)

Proc. SPIE (2)

S. Breugnot and P. Clémenceau, Proc. SPIE 3707, 449 (1999).
[CrossRef]

T. J. Schulz, Proc. SPIE 5888, 58880N (2005).
[CrossRef]

Other (2)

J. W. Goodman, in Speckle Phenomena in Optics: Theory and Applications (Roberts, 2007), Chap. 3.

E. Collett, Polarized Light: Fundamentals and Applications (Dekker, 1993).

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Figures (3)

Fig. 1.
Fig. 1.

(a) Experimental setup, (b) example of an intensity image of the reference sample and sample 5 (green paint).

Fig. 2.
Fig. 2.

(a) Values of the square DOP estimated on homogeneous regions of 400 pixels on the nine samples, (b) comparison between experimental variance of P2^ and theoretical predictions for distinct speckle models. Sample 8, leading to an erroneous estimated value of P, is not represented in this figure. The error bar on experimental variance is estimated from the eight experiments conducted on the reference sample.

Fig. 3.
Fig. 3.

Square DOP estimated from two images (OSC) and one image (estimator P2^), as a function of the retardation φ imposed by the BS compensator.

Tables (2)

Tables Icon

Table 1. Description of the Samples

Tables Icon

Table 2. Estimated Values of the Square DOP for Metal and Cardboard Samples for Different Speckle Orders

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