Estimation precision of the degree of linear polarization and of the angle of polarization in the presence of different sources of noise

Applied Optics

Volumn 49, Issue 4, 2010, Pages 683-693

  Goudail, François ^a   Bénière, Arnaud ^a  

^a UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

POLARIZATION;

ACQUISITION TIME; ANGLE OF POLARIZATION; DEGREE OF LINEAR POLARIZATION; ESTIMATION PRECISION; ESTIMATION VARIANCE; INTENSITY MEASUREMENTS; OPTIMAL NUMBER; POISSON SHOT NOISE;

SHOT NOISE;

EID: 76649124297     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.49.000683     Document Type: Article

References (25)

1. S. Huard, "Polarized optical wave," in Polarization of Light (Wiley, 1997), pp. 1-35.
2. L. B.Wolff and T. E. Boult, "Constraining object features using a polarization reflectance model," IEEE Trans. Pattern Anal. Machine Intell. 13, 635-657 (1991).
3. D. Miyazaki, M. Kagesawa, and K. Ikeuchi, "Transparent surface modeling from a pair of polarization images," IEEE Trans. Pattern Anal. Machine Intell. 26, 73-82 (2004).
4. O. Morel, C. Stolz, F. Meriaudeau, and P. Gorria, "Active lighting applied to 3D reconstruction of specular metallic surfaces by polarization imaging," Appl. Opt. 45, 4062-4068 (2006).
5. I. J. Vaughn and B. G. Hoover, "Noise reduction in laser polarimeter based on discrete waveplate rotations," Opt. Express 16, 2091-2108 (2008).
6. D. H. Goldstein and R. A. Chipman, "Error analysis of a Mueller matrix polarimeter," J. Opt. Soc. Am. A 7, 693-700 (1990).
7. A. Ambirajan and D. C. Look, "Optimum angles for a polarimeter: part I," Opt. Eng. 34, 1651-1658 (1995).
8. D. S. Sabatke, M. R. Descour, E. L. Dereniak, W. C. Sweatt, S. A. Kemme, and G. S. Phipps, "Optimization of retardance for a complete Stokes polarimeter," Opt. Lett. 25, 802-804 (2000).
9. M. H. Smith, "Optimization of a dual-rotating-retarder Mueller matrix polarimeter," Appl. Opt. 41, 2488-2493 (2002).
10. J. S. Tyo, "Design of optimal polarimeters: maximization of the signal-to-noise ratio and minimization of systematic error," Appl. Opt. 41, 619-630 (2002).
11. J. Zallat, S. Ainouz, and M. P. Stoll, "Optimal configurations for imaging polarimeters: impact of image noise and systematic errors," J. Opt. A Pure Appl. Opt. 8, 807-814 (2006).
12. Y. Takakura and J. Elsayed Ahmad, "Noise distribution of Mueller matrices retrieved with active rotating polarimeters," Appl. Opt. 46, 7354-7364 (2007).
13. A. Ramos and M. Collados, "Error propagation in polarimetric demodulation," Appl. Opt. 47, 2541-2549 (2008).
14. J. S. Tyo, D. L. Goldstein, D. B. Chenault, and J. A. Shaw, "Review of passive imaging polarimetry for remote sensing applications," Appl. Opt. 45, 5453-5469 (2006).
15. S. M. Kay, Fundamentals of Statistical Signal Processing - VolumeI: Estimation Theory (Prentice-Hall, 1993).
16. J. S. Tyo, "Optimum linear combination strategy for an Nchannel polarization sensitive imaging or vision system," J. Opt. Soc. Am. A 15, 359-366 (1998).
17. G. C. Holst, CCD Arrays, Cameras, and Displays, 2nd ed. (JCD, 1998).
18. A. Papoulis, Probability, Random Variables and Stochastic Processes (McGraw-Hill, 1991).
19. V. L. Gamiz and J. F. Belsher, "Performance limitations of a four channel polarimeter in the presence of detection noise," Opt. Eng. 41, 973-980 (2002).
20. F. Goudail, "Noise minimization and equalization for Stokes polarimeters in the presence of signal-dependent Poisson shot noise," Opt. Lett. 34, 647-649 (2009).
21. M. Unser and M. Eden, "Maximum likelihood estimation of linear signal parameters for Poisson processes," IEEE Trans. Acoust. Speech Signal Processing 36, 942-945 (1988).
22. K. M. Twietmeyer and R. Chipman, "Optimization of Mueller matrix polarimeters in the presence of error sources," Opt. Express 16, 11589-11603 (2008).
23. A. G. Andreau and Z. K. Kalyjian, "Polarization imaging: principles and integrated polarimeters," IEEE Sens. J. 2, 566-576 (2002).
24. D. L. Bowers, J. K. Boger, L. D. Wellems, S. E. Ortega, M. P. Fetrow, J. E. Hubbs, B. M. Black, B. M. Ratliff, and J. S. Tyo, "Unpolarized calibration and nonuniformity correction for LWIR microgrid imaging polarimeters," Opt. Eng. 47, 046403 (2008).
25. J. Hough, "Polarimetry: a powerful diagnostic tool in astronomy," Astron. Geophys. 47, 3.31-3.35 (2006).