Abstract

In general the transmission of polarized light through a homogeneous depolarizing sample has motion-reversal symmetry because the response remains the same for light traveling in the opposite direction. As a consequence, the optical properties of a sample, characterized by the differential Mueller matrix, must be invariant upon motion reversal. This Letter shows that the 16 parameters of the differential Mueller matrix must therefore obey six conditions to satisfy this symmetry. This limits the number of independent parameters to 10. The 10 elementary optical properties of a depolarizing homogeneous medium are defined and discussed.

© 2013 Optical Society of America

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References

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  1. J. W. S. B. Rayleigh, J. Phil. Mag. 49(5), 324 (1900).
  2. F. Perrin, J. Chem. Phys. 10, 415 (1942).
    [CrossRef]
  3. A. Schönhofer and H.-G. Kuball, Chem. Phys. 115, 159 (1987).
    [CrossRef]
  4. V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
    [CrossRef]
  5. O. Arteaga, S. Nichols, and B. Kahr, Opt. Lett. 37, 2835 (2012).
    [CrossRef]
  6. R. M. A. Azzam, J. Opt. Soc. Am. 68, 1756 (1978).
    [CrossRef]
  7. R. Ossikovski, Opt. Lett. 36, 2330 (2011).
    [CrossRef]
  8. O. Arteaga and B. Kahr, Opt. Lett. 38, 1134 (2013).

2013

2012

2011

2006

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

1987

A. Schönhofer and H.-G. Kuball, Chem. Phys. 115, 159 (1987).
[CrossRef]

1978

1942

F. Perrin, J. Chem. Phys. 10, 415 (1942).
[CrossRef]

1900

J. W. S. B. Rayleigh, J. Phil. Mag. 49(5), 324 (1900).

Arteaga, O.

Azzam, R. M. A.

Chen, Y.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

Fedotov, V. A.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

Kahr, B.

Kuball, H.-G.

A. Schönhofer and H.-G. Kuball, Chem. Phys. 115, 159 (1987).
[CrossRef]

Mladyanov, P. L.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

Nichols, S.

Ossikovski, R.

Perrin, F.

F. Perrin, J. Chem. Phys. 10, 415 (1942).
[CrossRef]

Prosvirnin, S. L.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

Rayleigh, J. W. S. B.

J. W. S. B. Rayleigh, J. Phil. Mag. 49(5), 324 (1900).

Rogacheva, A. V.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

Schönhofer, A.

A. Schönhofer and H.-G. Kuball, Chem. Phys. 115, 159 (1987).
[CrossRef]

Zheludev, N. I.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

Chem. Phys.

A. Schönhofer and H.-G. Kuball, Chem. Phys. 115, 159 (1987).
[CrossRef]

J. Chem. Phys.

F. Perrin, J. Chem. Phys. 10, 415 (1942).
[CrossRef]

J. Opt. Soc. Am.

J. Phil. Mag.

J. W. S. B. Rayleigh, J. Phil. Mag. 49(5), 324 (1900).

Opt. Lett.

Phys. Rev. Lett.

V. A. Fedotov, P. L. Mladyanov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, Phys. Rev. Lett. 97, 167401 (2006).
[CrossRef]

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Figures (1)

Fig. 1.
Fig. 1.

Top: Time-reversal symmetry applied to a homogeneous medium. xyz and x^y^z^ are both right-handed Cartesian coordinate systems. Bottom: 180° rotation around the y axis or turned sample symmetry applied to a homogeneous medium. Both operations are equivalent: in the final state, light enters sample through face A and exits through face B.

Tables (1)

Tables Icon

Table 1. Ten Basic Optical Properties

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

M^=OMTO1,
O[eL]TO1=eOLTO1,
m=[αβγδβα1μνγμα2ηδνηα3],
(m^+I)s^i=O(m+I)si,
m^=OmO1.
m=2diag(m)GmTG,
L=[ALDLDCDLDALDPCBLBLDCBALDPLBCDLBLBACDP],

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