Abstract

The evolution of a Stokes vector through depolarizing media is considered. A general form for the differential matrix is found that is appropriate in the presence of depolarization and it is parameterized in a manner that ensures that it yields, upon integration, a valid Mueller matrix for any choice of parameters. The form expands the more limited form for a nondepolarizing matrix given by Azzam [J. Opt. Soc. Am. 68, 1756 (1978) [CrossRef]  ] and which was extended recently by others to include depolarization. A Mueller matrix decomposition is proposed that is based upon the new parameterization.

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References

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  1. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  5. R. M. A. Azzam, J. Opt. Soc. Am. 68, 1756 (1978).
    [CrossRef]
  6. G. Strang, Linear Algebra and Its Applications, 2nd ed. (Academic, 1980), p. 205.
  7. C. R. Givens and A. B. Kostinski, J. Mod. Opt. 40, 471 (1993).
    [CrossRef]
  8. R. Ossikovski, Opt. Lett. 36, 2330 (2011).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2011 (4)

2008 (1)

2007 (1)

2004 (1)

2001 (1)

1996 (1)

1995 (1)

1993 (1)

C. R. Givens and A. B. Kostinski, J. Mod. Opt. 40, 471 (1993).
[CrossRef]

1978 (1)

Arce-Diego, J. L.

Azzam, R. M. A.

R. M. A. Azzam, J. Opt. Soc. Am. 68, 1756 (1978).
[CrossRef]

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).

Bashara, N. M.

R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1977).

Brosseau, C.

Chipman, R. A.

De Martino, A.

Galtarossa, A.

Germer, T. A.

T. A. Germer and H. J. Patrick, Proc. SPIE 8160, 81600D (2011).
[CrossRef]

Givens, C. R.

C. R. Givens and A. B. Kostinski, J. Mod. Opt. 40, 471 (1993).
[CrossRef]

Goudail, F.

Grosso, D.

Guyot, S.

Kostinski, A. B.

C. R. Givens and A. B. Kostinski, J. Mod. Opt. 40, 471 (1993).
[CrossRef]

Lu, S.-Y.

Morio, J.

Ortega-Quijano, N.

Ossikovski, R.

Palmieri, L.

Patrick, H. J.

T. A. Germer and H. J. Patrick, Proc. SPIE 8160, 81600D (2011).
[CrossRef]

Schenato, L.

Segre, S. E.

Strang, G.

G. Strang, Linear Algebra and Its Applications, 2nd ed. (Academic, 1980), p. 205.

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Equations (20)

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dS(z)dz=mS(z),
S(z)=MS(0),
M=Wdiag(eσ0z,eσ1z,eσ2z,eσ3z)W1,
m=(αβγδβαμνγμαηδνηα),
m=(αββγγδδβ+βααμ+μν+νγ+γμμααη+ηδ+δννηηαα),
m1=(1100110000000000).
R(q,u,v)=1I(I0000qIuq2+u2qvq2+u20uIqq2+u2uvq2+u20v0q2+u2).
ma=R(aq,au,av)m1RT(aq,au,av)A=1A(A2aqAauAavAaqAaq2aqauaqavauAauaqau2auavavAavaqavauav2).
m2=(0000010000000000).
mb=R(bq,bu,bv)m2RT(bq,bu,bv)B=1B(00000bq2bqbubqbv0bubqbu2bubv0bvbqbvbubv2).
m3=(0000000000100001).
mc=R(cq,cu,cv)m3RT(cq,cu,cv)C=1C(00000cu2cv2cqcucqcv0cucqcq2cv2cucv0cvcqcvcucq2cu2).
m4=(0100100000000000),
m5=(0000000000010010),
m6=(1000010000100001).
M=MΔMRMD,
m=Wdiag(lnτ0,lnτ1,lnτ2,lnτ3)W1,
M=(1.0000.0980.0050.0010.1050.4420.0000.0020.0020.0000.3230.1240.0030.0040.1270.276).
m=(0.0090.1450.0080.0030.1550.8310.0020.0050.0040.0021.0530.3930.0050.0110.4021.202).
α=0.014,(β,γ,δ)T=(0.150,0.006,0.004)T,(η,ν,μ)T=(0.398,0.008,0.001)T,a=(0.005,0.002,0.001)T,b=(0.682,0.009,0.678)T,c=(0.858,0.003,0.584)T.

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