Abstract

We report on the experimental realization of a family of depolarizing Mueller matrices that are Stokes nondiagonalizable. We likewise demonstrate a unique characteristic property of Stokes nondiagonalizable matrices consisting in the preservation of the degree of polarization of a single totally polarized input and illustrate it on our experimental example.

© 2009 Optical Society of America

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References

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  1. S.-Y. Lu and R. A. Chipman, Opt. Commun. 146, 11 (1998).
    [Crossref]
  2. K. Kim, L. Mandel, and E. Wolf, J. Opt. Soc. Am. A 4, 433 (1987).
    [Crossref]
  3. C. V. M. van der Mee, J. Math. Phys. 34, 5072 (1993).
    [Crossref]
  4. A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 955 (1998).
  5. A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 989 (1998).
  6. H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).
  7. Sudha, A. V. Gopala Rao, A. R. Usha Devi, and A. K. Rajagopal, J. Opt. Soc. Am. A 25, 874 (2008).
    [Crossref]
  8. S.-Y. Lu and R. A. Chipman, J. Opt. Soc. Am. A 11, 766 (1994).
    [Crossref]
  9. M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
    [Crossref]

2008 (1)

2007 (1)

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

1998 (3)

S.-Y. Lu and R. A. Chipman, Opt. Commun. 146, 11 (1998).
[Crossref]

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

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 989 (1998).

1994 (1)

1993 (1)

C. V. M. van der Mee, J. Math. Phys. 34, 5072 (1993).
[Crossref]

1987 (1)

Anastasiadou, M.

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

Chipman, R. A.

S.-Y. Lu and R. A. Chipman, Opt. Commun. 146, 11 (1998).
[Crossref]

S.-Y. Lu and R. A. Chipman, J. Opt. Soc. Am. A 11, 766 (1994).
[Crossref]

De Martino, A.

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

Devi, A. R. Usha

Guyot, S.

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

Hatit, S. Ben

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

Kim, K.

Lu, S.-Y.

S.-Y. Lu and R. A. Chipman, Opt. Commun. 146, 11 (1998).
[Crossref]

S.-Y. Lu and R. A. Chipman, J. Opt. Soc. Am. A 11, 766 (1994).
[Crossref]

Mallesh, K. S.

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 989 (1998).

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

Mandel, L.

Ossikovski, R.

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

Rajagopal, A. K.

Rao, A. V. Gopala

Sudha, A. V. Gopala Rao, A. R. Usha Devi, and A. K. Rajagopal, J. Opt. Soc. Am. A 25, 874 (2008).
[Crossref]

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

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 989 (1998).

Sudha,

Sudha, A. V. Gopala Rao, A. R. Usha Devi, and A. K. Rajagopal, J. Opt. Soc. Am. A 25, 874 (2008).
[Crossref]

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 989 (1998).

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

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).

van der Mee, C. V. M.

C. V. M. van der Mee, J. Math. Phys. 34, 5072 (1993).
[Crossref]

Wolf, E.

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

M. Anastasiadou, S. Ben Hatit, R. Ossikovski, S. Guyot, and A. De Martino, J. Eur. Opt. Soc. Rapid Publ. 2, 07018-1 (2007).
[Crossref]

J. Math. Phys. (1)

C. V. M. van der Mee, J. Math. Phys. 34, 5072 (1993).
[Crossref]

J. Mod. Opt. (2)

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

A. V. Gopala Rao, K. S. Mallesh, and Sudha, J. Mod. Opt. 45, 989 (1998).

J. Opt. Soc. Am. A (3)

Opt. Commun. (1)

S.-Y. Lu and R. A. Chipman, Opt. Commun. 146, 11 (1998).
[Crossref]

Other (1)

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1981).

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Figures (3)

Fig. 1
Fig. 1

(a) Schematics of the Mueller matrix imaging polarimeter: PSG and PSA, polarization state generator and analyzer. (b) Cross section of the backfocal plane BFP2 representing the “sample” inserted into the beam. The portion of light unaffected by the “sample” can be varied through the diaphragm present in BFP1.

Fig. 2
Fig. 2

Experimental matrix elements (squares) of the M family, normalized to M 11 , versus void fraction β v . The experimental error is smaller than the symbol size. The solid curves represent the matrix elements as calculated from Eq. (2). All x axes (dashed lines) range from 0 to 1; all y axes, from 1 to + 1 .

Fig. 3
Fig. 3

Equatorial plane cross sections of the DOP ellipsoids of the M family (solid curves). The points H, V, P, and Q lying on the equator of the Poincaré sphere (centered on O) represent, respectively, horizontal, vertical, + 45 ° , and 45 ° linear polarization states.

Equations (3)

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M = M 1 M Δ M 2 ,
M = α M IP + β M v = α 2 [ 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 ] + β [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] = [ α 2 + β α 2 0 0 α 2 α 2 + β 0 0 0 0 β 0 0 0 0 β ] ,
M IP = M HWP ( 45 ° ) M HP = [ 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 ] 1 2 [ 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 ] .

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