Abstract

We analyze an apparent disagreement between simulational and experimental results in a recent work of Puentes et al. [Opt. Lett., 30(23):3216, 2005] on the universality in depolarized light scattering. We show that the distribution of experimental points in the allowed region of the index of depolarization versus entropy diagram is ultimately determined by the statistics on the Mueller matrices, rather than on the eigenvalues of an associated Hermitian matrix. We propose a reasonable criterion that distinguishes the class of physically admissible from the physically realizable scattering media. This strategy yields further insight into the depolarization properties of media.

© 2008 Optical Society of America

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  1. D. P. Cubián, J. L. A. Diego and R . Rentmeesters, "Characterization of depolarizing optical media by means of the entropy factor: application to biological tissues," Appl. Opt. 44, 358-365 (2005).
    [CrossRef]
  2. A. Aiello, G. Puentes and J. P. Woerdman, "Linear optics and quantum maps," Phys. Rev. A 76, 032323 (2007).
    [CrossRef]
  3. J. J. Gil and E. Bernabeu, "Depolarization and polarization indices of an optical system," J. Mod. Opt. 33, 185-189 (1986).
    [CrossRef]
  4. F. Le Roy-Brehonnet and B. Le Jeune, "Utilization of Mueller matrix formalism to obtain optical targets depolarization and polarization properties," Prog. Quantum Electron. 21, 109-151 (1997).
    [CrossRef]
  5. G. Puentes, D. Voigt, A. Aiello, and J. P. Woerdman, "Experimental observation of universality in depolarized light scattering," Opt. Lett. 30, 3216-3218 (2005).
    [CrossRef]
  6. A. Aiello and J. P. Woerdman, "Physical bounds to the entropy-depolarization relation in random light scattering," Phys. Rev. Lett. 94, 090406 (2005).
    [CrossRef]
  7. S. Lu and R. A. Chipman, "Interpretation of Mueller matrices based on polar decomposition," J. Opt. Soc. Am. A 13, 1106-1113 (1996).
    [CrossRef]
  8. M. Pozniak, K. Zyczkowski and M. Kus, "Composed ensembles of random unitary matrices," J. Phys. A 31, 1059-1071 (1998).
    [CrossRef]
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    [CrossRef]
  12. J. W. Hovenier, H. C. van de Hulst and C. V. M. van der Mee, "Conditions for the elements of the scattering matrix," Astron. Astrophys. 157, 301-310 (1986).
  13. F. Perrin, "Polarization of light scattered by opalescent media," J. Chem. Phys. 10, 415-427 (1942).
    [CrossRef]
  14. R. S. Krishnan, "The reciprocity theorem in colloid optics and its generalization," Proc. Indian Acad. Sci. fA, 21-35 (1938).
  15. J. B. A. Card and A. R. Jones, "An investigation of the potential of polarized light scattering for the characterization of irregular particles," J. Phys. D: Appl. Phys. 32, 2467-2474 (1999).
    [CrossRef]
  16. A. A. Kokhanovsky and A. R. Jones, "The cross-polarization of light by large non-spherical particles," J. Phys. D: Appl. Phys. 35, 1903-1906 (2002).
    [CrossRef]
  17. A. Shi and W. M. McClain, "Closed-form Mueller scattering matrix for a random ensemble of long, thin cylinders," J. Chem. Phys. 98, 1695-1711 (1993).
    [CrossRef]
  18. A. Macke, "Scattering of light by polyhedral ice crystals," Appl. Opt. 32, 2780- 2788 (1993).
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    [CrossRef]
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  22. R. S. Krishnan, "Reciprocity theorem in colloid optics," Proc. Indian Acad. Sci. fA, 782-789 (1935).

2007 (1)

A. Aiello, G. Puentes and J. P. Woerdman, "Linear optics and quantum maps," Phys. Rev. A 76, 032323 (2007).
[CrossRef]

2005 (3)

2002 (1)

A. A. Kokhanovsky and A. R. Jones, "The cross-polarization of light by large non-spherical particles," J. Phys. D: Appl. Phys. 35, 1903-1906 (2002).
[CrossRef]

1999 (1)

J. B. A. Card and A. R. Jones, "An investigation of the potential of polarized light scattering for the characterization of irregular particles," J. Phys. D: Appl. Phys. 32, 2467-2474 (1999).
[CrossRef]

1998 (1)

M. Pozniak, K. Zyczkowski and M. Kus, "Composed ensembles of random unitary matrices," J. Phys. A 31, 1059-1071 (1998).
[CrossRef]

1997 (1)

F. Le Roy-Brehonnet and B. Le Jeune, "Utilization of Mueller matrix formalism to obtain optical targets depolarization and polarization properties," Prog. Quantum Electron. 21, 109-151 (1997).
[CrossRef]

1996 (1)

1995 (1)

1994 (1)

1993 (3)

1989 (1)

1986 (2)

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

J. W. Hovenier, H. C. van de Hulst and C. V. M. van der Mee, "Conditions for the elements of the scattering matrix," Astron. Astrophys. 157, 301-310 (1986).

1981 (1)

1942 (1)

F. Perrin, "Polarization of light scattered by opalescent media," J. Chem. Phys. 10, 415-427 (1942).
[CrossRef]

Aiello, A.

A. Aiello, G. Puentes and J. P. Woerdman, "Linear optics and quantum maps," Phys. Rev. A 76, 032323 (2007).
[CrossRef]

G. Puentes, D. Voigt, A. Aiello, and J. P. Woerdman, "Experimental observation of universality in depolarized light scattering," Opt. Lett. 30, 3216-3218 (2005).
[CrossRef]

A. Aiello and J. P. Woerdman, "Physical bounds to the entropy-depolarization relation in random light scattering," Phys. Rev. Lett. 94, 090406 (2005).
[CrossRef]

Anderson, D. G. M.

Barakat, R.

Bernabeu, E.

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

Brosseau, C.

Card, J. B. A.

J. B. A. Card and A. R. Jones, "An investigation of the potential of polarized light scattering for the characterization of irregular particles," J. Phys. D: Appl. Phys. 32, 2467-2474 (1999).
[CrossRef]

Chipman, R. A.

Cubián, D. P.

Diego, A.

Fry, E. S.

Gil, J. J.

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

Givens, C. R.

Glatter, O.

Hofer, M.

Hovenier, J. W.

J. W. Hovenier, H. C. van de Hulst and C. V. M. van der Mee, "Conditions for the elements of the scattering matrix," Astron. Astrophys. 157, 301-310 (1986).

Jones, A. R.

A. A. Kokhanovsky and A. R. Jones, "The cross-polarization of light by large non-spherical particles," J. Phys. D: Appl. Phys. 35, 1903-1906 (2002).
[CrossRef]

J. B. A. Card and A. R. Jones, "An investigation of the potential of polarized light scattering for the characterization of irregular particles," J. Phys. D: Appl. Phys. 32, 2467-2474 (1999).
[CrossRef]

Kattawar, G. W.

Kokhanovsky, A. A.

A. A. Kokhanovsky and A. R. Jones, "The cross-polarization of light by large non-spherical particles," J. Phys. D: Appl. Phys. 35, 1903-1906 (2002).
[CrossRef]

Kotinski, A. B.

Kus, M.

M. Pozniak, K. Zyczkowski and M. Kus, "Composed ensembles of random unitary matrices," J. Phys. A 31, 1059-1071 (1998).
[CrossRef]

Le Jeune, B.

F. Le Roy-Brehonnet and B. Le Jeune, "Utilization of Mueller matrix formalism to obtain optical targets depolarization and polarization properties," Prog. Quantum Electron. 21, 109-151 (1997).
[CrossRef]

Le Roy-Brehonnet, F.

F. Le Roy-Brehonnet and B. Le Jeune, "Utilization of Mueller matrix formalism to obtain optical targets depolarization and polarization properties," Prog. Quantum Electron. 21, 109-151 (1997).
[CrossRef]

Lu, S.

Luna, R. E.

Macke, A.

McClain, W. M.

A. Shi and W. M. McClain, "Closed-form Mueller scattering matrix for a random ensemble of long, thin cylinders," J. Chem. Phys. 98, 1695-1711 (1993).
[CrossRef]

Méndez, E. R.

Navarrette, A. G.

Perrin, F.

F. Perrin, "Polarization of light scattered by opalescent media," J. Chem. Phys. 10, 415-427 (1942).
[CrossRef]

Pozniak, M.

M. Pozniak, K. Zyczkowski and M. Kus, "Composed ensembles of random unitary matrices," J. Phys. A 31, 1059-1071 (1998).
[CrossRef]

Puentes, G.

Rentmeesters, R

Shi, A.

A. Shi and W. M. McClain, "Closed-form Mueller scattering matrix for a random ensemble of long, thin cylinders," J. Chem. Phys. 98, 1695-1711 (1993).
[CrossRef]

van de Hulst, H. C.

J. W. Hovenier, H. C. van de Hulst and C. V. M. van der Mee, "Conditions for the elements of the scattering matrix," Astron. Astrophys. 157, 301-310 (1986).

van der Mee, C. V. M.

J. W. Hovenier, H. C. van de Hulst and C. V. M. van der Mee, "Conditions for the elements of the scattering matrix," Astron. Astrophys. 157, 301-310 (1986).

Voigt, D.

Woerdman, J. P.

A. Aiello, G. Puentes and J. P. Woerdman, "Linear optics and quantum maps," Phys. Rev. A 76, 032323 (2007).
[CrossRef]

G. Puentes, D. Voigt, A. Aiello, and J. P. Woerdman, "Experimental observation of universality in depolarized light scattering," Opt. Lett. 30, 3216-3218 (2005).
[CrossRef]

A. Aiello and J. P. Woerdman, "Physical bounds to the entropy-depolarization relation in random light scattering," Phys. Rev. Lett. 94, 090406 (2005).
[CrossRef]

Zyczkowski, K.

M. Pozniak, K. Zyczkowski and M. Kus, "Composed ensembles of random unitary matrices," J. Phys. A 31, 1059-1071 (1998).
[CrossRef]

Appl. Opt. (4)

Astron. Astrophys. (1)

J. W. Hovenier, H. C. van de Hulst and C. V. M. van der Mee, "Conditions for the elements of the scattering matrix," Astron. Astrophys. 157, 301-310 (1986).

J. Chem. Phys. (2)

F. Perrin, "Polarization of light scattered by opalescent media," J. Chem. Phys. 10, 415-427 (1942).
[CrossRef]

A. Shi and W. M. McClain, "Closed-form Mueller scattering matrix for a random ensemble of long, thin cylinders," J. Chem. Phys. 98, 1695-1711 (1993).
[CrossRef]

J. Mod. Opt. (1)

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

J. Opt. Soc. Am. A (4)

J. Phys. A (1)

M. Pozniak, K. Zyczkowski and M. Kus, "Composed ensembles of random unitary matrices," J. Phys. A 31, 1059-1071 (1998).
[CrossRef]

J. Phys. D: Appl. Phys. (2)

J. B. A. Card and A. R. Jones, "An investigation of the potential of polarized light scattering for the characterization of irregular particles," J. Phys. D: Appl. Phys. 32, 2467-2474 (1999).
[CrossRef]

A. A. Kokhanovsky and A. R. Jones, "The cross-polarization of light by large non-spherical particles," J. Phys. D: Appl. Phys. 35, 1903-1906 (2002).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

A. Aiello, G. Puentes and J. P. Woerdman, "Linear optics and quantum maps," Phys. Rev. A 76, 032323 (2007).
[CrossRef]

Phys. Rev. Lett. (1)

A. Aiello and J. P. Woerdman, "Physical bounds to the entropy-depolarization relation in random light scattering," Phys. Rev. Lett. 94, 090406 (2005).
[CrossRef]

Prog. Quantum Electron. (1)

F. Le Roy-Brehonnet and B. Le Jeune, "Utilization of Mueller matrix formalism to obtain optical targets depolarization and polarization properties," Prog. Quantum Electron. 21, 109-151 (1997).
[CrossRef]

Other (3)

R. S. Krishnan, "The reciprocity theorem in colloid optics and its generalization," Proc. Indian Acad. Sci. fA, 21-35 (1938).

R. S. Krishnan, "Optical evidence for molecular clustering in fluids," Proc. Indian Acad. Sci. fA, 211-216 (1934).

R. S. Krishnan, "Reciprocity theorem in colloid optics," Proc. Indian Acad. Sci. fA, 782-789 (1935).

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