Abstract

In a depolarizing medium in which the optical properties are uniformly distributed, the logarithm of the Mueller matrix can be used to calculate the differential Mueller matrix. From the differential Mueller matrix, the 10 optical properties of a homogeneous depolarizing medium are recovered. A modified calculation is introduced for media showing small time-irreversal depolarization events. The benefits of this method are illustrated in the determination of circular dichroism and circular birefringence of a nickel sulfate hexahydrate crystal from spectroscopic Mueller matrix measurements.

© 2013 Optical Society of America

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References

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  1. C. R. Jones, J. Opt. Soc. Am. 38, 671 (1948).
    [CrossRef]
  2. N. Go, J. Phys. Soc. Jpn. 23, 88 (1967).
    [CrossRef]
  3. R. M. A. Azzam, J. Opt. Soc. Am. 68, 1756 (1978).
    [CrossRef]
  4. O. Arteaga and A. Canillas, Opt. Lett. 35, 559(2010).
    [CrossRef]
  5. H. P. Jensen, J. A. Schellman, and T. Troxell, Appl. Spectrosc. 32, 192 (1978).
    [CrossRef]
  6. H. P. Jensen, Appl. Spectrosc. Rev. 18, 305 (1982).
    [CrossRef]
  7. J. H. Freudenthal, E. Hollis, and B. Kahr, Chirality 21 Suppl. 1, S20 (2009).
    [CrossRef]
  8. R. Ossikovski, Opt. Lett. 36, 2330 (2011).
    [CrossRef]
  9. R. Ossikovski, Opt. Lett. 37, 220 (2012).
    [CrossRef]
  10. N. Ortega-Quijano and J. L. Arce-Diego, Opt. Lett. 36, 2429 (2011).
    [CrossRef]
  11. T. A. Germer, Opt. Lett. 37, 921 (2012).
    [CrossRef]
  12. H. D. Noble, S. C. McClain, and R. A. Chipman, Appl. Opt. 51, 735 (2012).
    [CrossRef]
  13. O. Arteaga, Opt. Lett. 38, 1131 (2013).
  14. O. Arteaga, J. Freudenthal, B. Wang, and B. Kahr, Appl. Opt. 51, 6805 (2012).
    [CrossRef]
  15. T. Harada, T. Sato, and R. Kuroda, Chem. Phys. Lett. 456, 268 (2008).
    [CrossRef]

2013

2012

2011

2010

2009

J. H. Freudenthal, E. Hollis, and B. Kahr, Chirality 21 Suppl. 1, S20 (2009).
[CrossRef]

2008

T. Harada, T. Sato, and R. Kuroda, Chem. Phys. Lett. 456, 268 (2008).
[CrossRef]

1982

H. P. Jensen, Appl. Spectrosc. Rev. 18, 305 (1982).
[CrossRef]

1978

1967

N. Go, J. Phys. Soc. Jpn. 23, 88 (1967).
[CrossRef]

1948

Arce-Diego, J. L.

Arteaga, O.

Azzam, R. M. A.

Canillas, A.

Chipman, R. A.

Freudenthal, J.

Freudenthal, J. H.

J. H. Freudenthal, E. Hollis, and B. Kahr, Chirality 21 Suppl. 1, S20 (2009).
[CrossRef]

Germer, T. A.

Go, N.

N. Go, J. Phys. Soc. Jpn. 23, 88 (1967).
[CrossRef]

Harada, T.

T. Harada, T. Sato, and R. Kuroda, Chem. Phys. Lett. 456, 268 (2008).
[CrossRef]

Hollis, E.

J. H. Freudenthal, E. Hollis, and B. Kahr, Chirality 21 Suppl. 1, S20 (2009).
[CrossRef]

Jensen, H. P.

Jones, C. R.

Kahr, B.

O. Arteaga, J. Freudenthal, B. Wang, and B. Kahr, Appl. Opt. 51, 6805 (2012).
[CrossRef]

J. H. Freudenthal, E. Hollis, and B. Kahr, Chirality 21 Suppl. 1, S20 (2009).
[CrossRef]

Kuroda, R.

T. Harada, T. Sato, and R. Kuroda, Chem. Phys. Lett. 456, 268 (2008).
[CrossRef]

McClain, S. C.

Noble, H. D.

Ortega-Quijano, N.

Ossikovski, R.

Sato, T.

T. Harada, T. Sato, and R. Kuroda, Chem. Phys. Lett. 456, 268 (2008).
[CrossRef]

Schellman, J. A.

Troxell, T.

Wang, B.

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Figures (1)

Fig. 1.
Fig. 1.

Optical parameters of an NSH crystal (P41212) determined from the differential Mueller matrix analysis. Six different angles of incidence with the crystal tilted from its optic axis are plotted, from 0° (black line) to 10° in steps of 2° [with successive red, green, blue, orange, and violet lines. Ordered from bottom to top in (a)]. Panels (a) and (b), respectively, show CD and CB as obtained from Lm, while CD and CB of (c) and (d) are calculated from Lm [Eq. (8)]. (e) Shows the progressive increase of Δp2 with the angle of incidence. In these experiments Δp2 is the greater nondiagonal element of Lu. In (f) the average depolarization |LDP+LDP+CDP|/3 is plotted. All parameters are given in radians.

Equations (10)

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

dM/dz=mM.
L=Lm+Lu,
Lm=[0LDLDCDLD0CBLBLDCB0LBCDLBLB0],
Lu=[AΔp1Δp2Δp3Δp1ALDPΔp4Δp5Δp2Δp4ALDPΔp6Δp3Δp5Δp6ACDP].
Lu=Lud+Lund.
Lm=Lm{Lund,Lm},
Lm=Lm+LundLm+LmLund.
Me=[10.00630.01260.01410.00140.93150.20490.08200.00660.17170.45050.80660.02500.13960.79920.4769].
Lm=[00.00070.01910.00720.000700.04270.28090.01910.042702.08290.00720.28092.08290],
Lm=[00.00570.01440.01840.005700.04220.28410.01440.042202.08360.01840.28412.08360].

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