Abstract

In this Letter, we address the question of physical validity of differential Mueller matrix. A parameterization of entries of this differential matrix is proposed. It ensures that the generators associated with depolarization terms lead to physical Mueller matrices as for the nondepolarizing terms. A general expression for the depolarizing part of the differential matrix is found and a way to compute the nonlinear relations between the parameters is proposed.

© 2013 Optical Society of America

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References

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V. Devlaminck, P. Terrier, and J. M. Charbois, Opt. Lett. 38, 181420 (2012).

R. Ossikovski, Opt. Lett. 37, 220 (2012).
[CrossRef]

T. Germer, Opt. Lett. 37, 921 (2012).
[CrossRef]

2011 (2)

2010 (2)

1998 (1)

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

1986 (1)

S. R. Cloude, Optik 75, 26 (1986).

1978 (1)

1948 (1)

Arce-Diego, J. L.

Azzam, R. M. A.

Borghi, R.

Charbois, J. M.

V. Devlaminck, P. Terrier, and J. M. Charbois, Opt. Lett. 38, 181420 (2012).

Cloude, S. R.

S. R. Cloude, Optik 75, 26 (1986).

Devlaminck, V.

V. Devlaminck, P. Terrier, and J. M. Charbois, Opt. Lett. 38, 181420 (2012).

Germer, T.

Gori, F.

Jones, R. C.

Mallesh, K. S.

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

Mukunda, N.

Ortega-Quijano, N.

Ossikovski, R.

Rao, A. V. Gopala

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

Santarsiero, M.

Simon, B. N.

Simon, R.

Simon, S.

Sudha,

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

Terrier, P.

V. Devlaminck, P. Terrier, and J. M. Charbois, Opt. Lett. 38, 181420 (2012).

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Equations (18)

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m=j=015djGj,
m=[d0d1+d7d2+d8d3+d9d1d7d0d13d12+d6d11d5d2d8d12d6d0d14d10+d4d3d9d11+d5d10d4d0d15].
G7=[0100;1000;0000;0000].
d13=k2+k3d14=k1+k3d15=k1+k2,
M=LlM(1)LrorM=LlM(2)Lr
M(1)=diag[m0m1m2m3]M(2)=[m0m0m1000m10000m20000m3].
m1m2m3m0m1+m2+m3m0m1+m2m3m0m1m2+m3m0,
(m2)2m0m1m2=m3andm0m1.
H4=[0100;0100;000.50;0000.5].
M(2)=[11ek4000ek40000e(k42+k1)0000e(k42+k1)]
H4=[00.500;0.5100;000.50;0000.5].
H5=[000.50;00.500;0.5010;0000.5]H6=[0000.5;00.500;000.50;0.5001].
exp(A)exp(B)=exp(A+B+12[A,B]+),
H7=[0000;00.500.5;0010;00.500.5]
H8=[0000;00.50.50;00.50.50;0001]H9=[0000;0100;000.50.5;000.50.5].
M=Llem(i)Lr=(Llem(i)Ll1)L=L(Lr1em(i)Lr)M=(eLlm(i)Ll1)L=L(eLr1m(i)Lr),
eGm(i)eG=m(i)+[G,m(i)]+12[G,[G,m(i)]]+
[0(k2+k3)μ(k1+k3)ν(k1+k2)ρ(k2+k3)μ(k2+k3)(k2k1)γ(k1k3)β(k1+k3)ν(k2k1)γ(k1+k3)(k3k2)α(k1+k2)ρ(k1k3)β(k3k2)α(k1+k2)][0k4(12μ)k4(ν+γ)νk1k4(ρβ)ρk1k4(12μ)2k4(12μ)k4(ν+γ)γk1k4(ρβ)+βk1k4(ν+γ)+νk1k4(ν+γ)γk1k4(12μ)k10k4(ρβ)+ρk1k4(ρβ)+βk10k4(12μ)k1],

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