Abstract

Active imaging systems that measure the degree of polarization (DOP) are often perturbed by passive light owing to ambient illumination. Passive light introduces a shot noise that combines with the noise due to the active signal to perturb estimation of the DOP. We quantitatively study its influence and show that the polarization state of active illumination can be adjusted to minimize the influence of passive light. It is thus an additional degree of freedom for optimization.

© 2008 Optical Society of America

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References

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  1. M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
    [CrossRef]
  2. S. Breugnot and P. Clémenceau, Opt. Eng. 39, 2681 (2000).
    [CrossRef]
  3. R. E. Nothdurft and G. Yao, Appl. Opt. 45, 5532 (2006).
    [CrossRef] [PubMed]
  4. C. Brosseau, Fundamentals of Polarized Light--a Statistical Approach (Wiley, 1998).
  5. P. C. Y. Chang, J. C. Flitton, K. I. Hopcraft, E. Jakeman, D. L. Jordan, and J. G. Walker, Appl. Opt. 42, 2794 (2003).
    [CrossRef] [PubMed]
  6. S. M. Kay, Fundamentals of Statistical Signal Processing--Volume I: Estimation Theory (Prentice-Hall, 1993).
  7. A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
    [CrossRef]

2008 (2)

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
[CrossRef]

2006 (1)

2003 (1)

2000 (1)

S. Breugnot and P. Clémenceau, Opt. Eng. 39, 2681 (2000).
[CrossRef]

Alouini, M.

A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
[CrossRef]

Anastasiadou, M.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Bénière, A.

A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
[CrossRef]

Breugnot, S.

S. Breugnot and P. Clémenceau, Opt. Eng. 39, 2681 (2000).
[CrossRef]

Brosseau, C.

C. Brosseau, Fundamentals of Polarized Light--a Statistical Approach (Wiley, 1998).

Chang, P. C. Y.

Clémenceau, P.

S. Breugnot and P. Clémenceau, Opt. Eng. 39, 2681 (2000).
[CrossRef]

Clement, D.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Cohen, H.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

De Martino, A.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Dolfi, D.

A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
[CrossRef]

Dreyfuss, J.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Flitton, J. C.

Goudail, F.

A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
[CrossRef]

Hopcraft, K. I.

Huynh, B.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Jakeman, E.

Jordan, D. L.

Kay, S. M.

S. M. Kay, Fundamentals of Statistical Signal Processing--Volume I: Estimation Theory (Prentice-Hall, 1993).

Laude-Boulesteix, B.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Lige, F.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Nazac, A.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Nothdurft, R. E.

Quang, N.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Schwartz, L.

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Walker, J. G.

Yao, G.

Appl. Opt. (2)

J. Eur. Opt. Soc. Rapid Publ. (1)

A. Bénière, F. Goudail, M. Alouini, and D. Dolfi, J. Eur. Opt. Soc. Rapid Publ. 3, 08002 (2008).
[CrossRef]

Opt. Eng. (1)

S. Breugnot and P. Clémenceau, Opt. Eng. 39, 2681 (2000).
[CrossRef]

Phys. Status Solidi C (1)

M. Anastasiadou, A. De Martino, D. Clement, F. Lige, B. Laude-Boulesteix, N. Quang, J. Dreyfuss, B. Huynh, A. Nazac, L. Schwartz, and H. Cohen, Phys. Status Solidi C 5, 991 (2008).
[CrossRef]

Other (2)

C. Brosseau, Fundamentals of Polarized Light--a Statistical Approach (Wiley, 1998).

S. M. Kay, Fundamentals of Statistical Signal Processing--Volume I: Estimation Theory (Prentice-Hall, 1993).

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Figures (3)

Fig. 1
Fig. 1

Imaging configuration. The useful signal corresponds to active illumination scattered by the scene. The passive contribution is due to scattered ambient light.

Fig. 2
Fig. 2

Square root of the CRLB κ P (solid curves) and estimated standard deviation of the profile likelihood estimator P ̂ p l (markers) on 10 5 realizations for three different values of P g as a function of the intensity I, with I g = 500 photoelectrons, P = 0.5 , and N = 50 .

Fig. 3
Fig. 3

OSC image of a scene composed of two transparent plastic ribbons on an aluminium plate with (a) P g 1 configuration and (c) P g 1 configuration. The respective profile of the OSCI along the dotted line is plotted in (b) and (d).

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

I = m X + m Y , P = m X m Y m X + m Y ,
l ( I , P , g X , g Y ) = N ( I + 2 ( g X + g Y ) ) + A + S X log [ I ( 1 + P ) 2 + g X ] + S V log ( g X ) + S Y log [ I ( 1 P ) 2 + g Y ] + S W log ( g Y ) ,
κ P u = ( 1 P 2 ) N I , κ P p = 2 I g 1 + P 2 2 P g P N I 2 ,
P ̂ p l = m ̂ X m ̂ Y m ̂ X + m ̂ Y ,

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