Abstract

We report on two Stokes nondiagonalizable Mueller matrices experimentally observed in a biological and in an organic sample. These matrices are examples of naturally occurring nondiagonal depolarizers whose unique property is to preserve the degree of polarization of all but one totally polarized light state. The description of the experimental matrices within the theory of Bragg scattering on cholesteric liquid crystals, as well as their interpretation in physical and structural terms, are likewise addressed.

© 2009 Optical Society of America

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References

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  1. C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, 1998).
  2. A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).
  3. R. Ossikovski, C. Fallet, A. Pierangelo, and A. De Martino, Opt. Lett. 34, 974 (2009).
    [CrossRef] [PubMed]
  4. S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
    [CrossRef]
  5. T. Lenau and M. Barfoed, Adv. Eng. Mater. 10, 299 (2008) and references therein.
    [CrossRef]
  6. R. M. Hornreich and S. Shtrikman, Phys. Rev. A 28, 1791 (1983).
    [CrossRef]
  7. J. H. Flack, P. P. Crooker, and R. C. Svoboda, Phys. Rev. A 26, 723 (1982).
    [CrossRef]

2009 (1)

2008 (2)

S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
[CrossRef]

T. Lenau and M. Barfoed, Adv. Eng. Mater. 10, 299 (2008) and references therein.
[CrossRef]

1998 (1)

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).

1983 (1)

R. M. Hornreich and S. Shtrikman, Phys. Rev. A 28, 1791 (1983).
[CrossRef]

1982 (1)

J. H. Flack, P. P. Crooker, and R. C. Svoboda, Phys. Rev. A 26, 723 (1982).
[CrossRef]

Barfoed, M.

T. Lenau and M. Barfoed, Adv. Eng. Mater. 10, 299 (2008) and references therein.
[CrossRef]

Ben Hatit, S.

S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
[CrossRef]

Brosseau, C.

C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, 1998).

Crooker, P. P.

J. H. Flack, P. P. Crooker, and R. C. Svoboda, Phys. Rev. A 26, 723 (1982).
[CrossRef]

De Martino, A.

R. Ossikovski, C. Fallet, A. Pierangelo, and A. De Martino, Opt. Lett. 34, 974 (2009).
[CrossRef] [PubMed]

S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
[CrossRef]

Drévillon, B.

S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
[CrossRef]

Fallet, C.

Flack, J. H.

J. H. Flack, P. P. Crooker, and R. C. Svoboda, Phys. Rev. A 26, 723 (1982).
[CrossRef]

Foldyna, M.

S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
[CrossRef]

Gopala Rao, A. V.

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).

Hornreich, R. M.

R. M. Hornreich and S. Shtrikman, Phys. Rev. A 28, 1791 (1983).
[CrossRef]

Lenau, T.

T. Lenau and M. Barfoed, Adv. Eng. Mater. 10, 299 (2008) and references therein.
[CrossRef]

Mallesh, K. S.

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).

Ossikovski, R.

Pierangelo, A.

Shtrikman, S.

R. M. Hornreich and S. Shtrikman, Phys. Rev. A 28, 1791 (1983).
[CrossRef]

Sudha,

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).

Svoboda, R. C.

J. H. Flack, P. P. Crooker, and R. C. Svoboda, Phys. Rev. A 26, 723 (1982).
[CrossRef]

Adv. Eng. Mater. (1)

T. Lenau and M. Barfoed, Adv. Eng. Mater. 10, 299 (2008) and references therein.
[CrossRef]

J. Mod. Opt. (1)

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).

Opt. Lett. (1)

Phys. Rev. A (2)

R. M. Hornreich and S. Shtrikman, Phys. Rev. A 28, 1791 (1983).
[CrossRef]

J. H. Flack, P. P. Crooker, and R. C. Svoboda, Phys. Rev. A 26, 723 (1982).
[CrossRef]

Phys. Status Solidi A (1)

S. Ben Hatit, M. Foldyna, A. De Martino, and B. Drévillon, Phys. Status Solidi A 205, 743 (2008).
[CrossRef]

Other (1)

C. Brosseau, Fundamentals of Polarized Light: A Statistical Optics Approach (Wiley, 1998).

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Figures (2)

Fig. 1
Fig. 1

Mueller matrix reflection image ( 40 μ m in diameter) of the cuticle area of Cetonia aurata. The probing wavelength was 550 nm.

Fig. 2
Fig. 2

Coefficients α (upper left), β (upper right), and γ (lower left) obtained from fitting the Mueller matrix image in Fig. 1 to Eq. (1). Pixels presenting fitting errors above 6% are shown in black.

Equations (3)

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M Δ nd = α [ 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 ] + β [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] + γ [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] ,
M bp = [ 1.000 0.615 0.201 0.716 0.617 0.379 0.179 0.448 0.248 0.200 0.049 0.141 0.695 0.411 0.119 0.520 ] ,
M Δ nd bp = α [ 1 q u v ] [ 1 q u v ] + γ [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] ,

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