Abstract

Scenes from a Mueller matrix movie of a brass cone are shown. From the Mueller matrix image, a variety of polarization measures are calculated and displayed. These polarization images reveal considerable details about the geometry of the cone despite the fact that the images are taken from a single vantage point, i. e. they are “flat images”. As the cone rotates, the orientation of the diattenuation and retardance follow the shape of the cone, providing a clear indication of its shape.

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References

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  1. J. L. Pezzaniti and R. A. Chipman, "Mueller Matrix Imaging Polarimetry," Opt. Eng. 34, 1558-1568 (1995).
    [CrossRef]
  2. R. A. Chipman, "Polarimetry," in the Handbook of Optics, (McGraw-Hill, New-York, 1994) Chap. 22.
  3. G. Videen, J.-Y. Hsu, W. S. Bickel and W. L. Wolfe, "Polarized light scattering from rough surfaces," J. Opt. Soc. Am. A 9, 1111-1118 (1992).
    [CrossRef]
  4. W. S. Bickel, R. R. Zito and V. J. Iafelice, "Polarized light scattering from metal surfaces," J. Appl. Phys. 61, 5392-5398 (1987).
    [CrossRef]
  5. M. W. Williams, "Depolarization and cross polarization in Ellipsometry of rough surfaces," Appl. Opt 25, 3616-3622 (1986).
    [CrossRef] [PubMed]
  6. J. L. Pezzaniti and R. A. Chipman, "Angular dependence of polarizing beam splitter cubes," Appl. Opt. 33, 1916-1929 (1994).
    [CrossRef]
  7. J. L. Pezzaniti and R. A. Chipman, "Mueller matrix scatter polarimetry of a diamond-turned mirror," Opt. Eng. 34, 1593-1598 (1995).
    [CrossRef]
  8. J. L. Pezzaniti, S. C. McClain, R. A Chipman, S.-Y. Lu, "Depolarization in a liquid crystal TVs," Opt. Lett. 18, 2071-2073 (1993).
    [CrossRef] [PubMed]
  9. E. A. Sornsin and R. A. Chipman, "Mueller matrix polarimetry of PLZT electro-optic modulators," Proc. SPIE 2873 196-201 (1996).
    [CrossRef]
  10. M. H. Smith, E. A. Sornsin, R. A. Chipman, "Polarization characterization of self-imaging GaAs/AlGaAs ,"in Physics and Simulation of Optoelectronic Devices V,M. Osinski, W.W. Chow ed., Proc. SPIE 2994 (1997).
  11. D. H Goldstein and R. A. Chipman, "Error analysis of a Mueller matrix polarimeter," J. Opt. Soc. Am. A 7, 693-700 (1990).
    [CrossRef]
  12. S. Y. Lu and R. A. Chipman, "Interpretation of Mueller matrices based on polar decomposition," J. Opt. Soc. Am. A, 13, 1-8 (1996).
    [CrossRef]
  13. J. J Gil and E. Bernabeu, "Obtainment of the polarizing and retardation parameters of a non-depolarizing optical system from the polar decomposition of its Mueller matrix," Optik, 76, 67-71 (1987).
  14. D. M. G. Anderson and R. Barakat, "Necessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix," J. Opt. Soc. Am. A 11, 2305-2319 (1994).
    [CrossRef]
  15. R. Simon, "Mueller matrices and depolarization criteria", J. of Modern Opt., 34(4), 569-575 (1987).
    [CrossRef]
  16. A. B. Kostinski, C. R. Given and J.M. Kwiatkowski, "Constraints on Mueller matrices of polarization optics," Appl. Opt. 32, 1646-1651 (1993).
    [CrossRef] [PubMed]
  17. J. J. Gil and E. Bernabeu, "Depolarization and polarization indices of an optical system," Opt. Acta, 33, 185- 189 (1986).
    [CrossRef]

Other

J. L. Pezzaniti and R. A. Chipman, "Mueller Matrix Imaging Polarimetry," Opt. Eng. 34, 1558-1568 (1995).
[CrossRef]

R. A. Chipman, "Polarimetry," in the Handbook of Optics, (McGraw-Hill, New-York, 1994) Chap. 22.

G. Videen, J.-Y. Hsu, W. S. Bickel and W. L. Wolfe, "Polarized light scattering from rough surfaces," J. Opt. Soc. Am. A 9, 1111-1118 (1992).
[CrossRef]

W. S. Bickel, R. R. Zito and V. J. Iafelice, "Polarized light scattering from metal surfaces," J. Appl. Phys. 61, 5392-5398 (1987).
[CrossRef]

M. W. Williams, "Depolarization and cross polarization in Ellipsometry of rough surfaces," Appl. Opt 25, 3616-3622 (1986).
[CrossRef] [PubMed]

J. L. Pezzaniti and R. A. Chipman, "Angular dependence of polarizing beam splitter cubes," Appl. Opt. 33, 1916-1929 (1994).
[CrossRef]

J. L. Pezzaniti and R. A. Chipman, "Mueller matrix scatter polarimetry of a diamond-turned mirror," Opt. Eng. 34, 1593-1598 (1995).
[CrossRef]

J. L. Pezzaniti, S. C. McClain, R. A Chipman, S.-Y. Lu, "Depolarization in a liquid crystal TVs," Opt. Lett. 18, 2071-2073 (1993).
[CrossRef] [PubMed]

E. A. Sornsin and R. A. Chipman, "Mueller matrix polarimetry of PLZT electro-optic modulators," Proc. SPIE 2873 196-201 (1996).
[CrossRef]

M. H. Smith, E. A. Sornsin, R. A. Chipman, "Polarization characterization of self-imaging GaAs/AlGaAs ,"in Physics and Simulation of Optoelectronic Devices V,M. Osinski, W.W. Chow ed., Proc. SPIE 2994 (1997).

D. H Goldstein and R. A. Chipman, "Error analysis of a Mueller matrix polarimeter," J. Opt. Soc. Am. A 7, 693-700 (1990).
[CrossRef]

S. Y. Lu and R. A. Chipman, "Interpretation of Mueller matrices based on polar decomposition," J. Opt. Soc. Am. A, 13, 1-8 (1996).
[CrossRef]

J. J Gil and E. Bernabeu, "Obtainment of the polarizing and retardation parameters of a non-depolarizing optical system from the polar decomposition of its Mueller matrix," Optik, 76, 67-71 (1987).

D. M. G. Anderson and R. Barakat, "Necessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix," J. Opt. Soc. Am. A 11, 2305-2319 (1994).
[CrossRef]

R. Simon, "Mueller matrices and depolarization criteria", J. of Modern Opt., 34(4), 569-575 (1987).
[CrossRef]

A. B. Kostinski, C. R. Given and J.M. Kwiatkowski, "Constraints on Mueller matrices of polarization optics," Appl. Opt. 32, 1646-1651 (1993).
[CrossRef] [PubMed]

J. J. Gil and E. Bernabeu, "Depolarization and polarization indices of an optical system," Opt. Acta, 33, 185- 189 (1986).
[CrossRef]

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Figures (7)

Fig. 1.
Fig. 1.

Mueller matrix imaging polarimeter configured for scattering measurement

Fig. 2.
Fig. 2.

16-dimensional Mueller matrix space

Fig. 3.
Fig. 3.

Mueller matrix images of the brass cone

Fig. 4.
Fig. 4.

Magnitude and orientation images of the diattenuation for different orientations of the brass cone (0°, 30°, 60°, 90°, 120°, and 150°)

Fig. 5.
Fig. 5.

Magnitude and orientation images of the retardance for different orientations of the brass cone (0°, 30°, 60°, 90°, 120°, and 150°)

Fig.6.
Fig.6.

Polarization crosstalk images for different orientations of the brass cone (0°, 30°, 60°, 90°, 120°, and 150°)

Fig. 7.
Fig. 7.

Polarizance and depolarization index images for different orientations of the brass cone (0°, 30°, 60°, 90°, 120°, and 150°)

Equations (2)

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M = Dep . R . D
Dep ( M ) = 1 ( i , j m ij 2 ) m 00 2 3 m 00 2

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