Abstract

A simple method for measuring the Mueller matrix associated with rough surfaces in a conical configuration is presented. I present result of experimental measurements of the Mueller matrix for the angular distribution of the light scattered by a one-dimensional gold-coated randomly rough surface in a conical configuration. Effects related to the phenomenon of enhanced backscattering are reported.

© 2002 Optical Society of America

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References

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1999 (3)

T. A. Germer and C. C. Asmail, Rev. Sci. Instrum. 70, 3688 (1999).
[CrossRef]

I. V. Novikov and A. A. Maradudin, Radio Sci. 34, 599 (1999).
[CrossRef]

T. A. Germer and C. C. Asmail, J. Opt. Soc. Am. A 16, 1326 (1999).
[CrossRef]

1998 (1)

1997 (1)

I. V. Novikov and A. A. Maradudin, Proc. SPIE 3141, 171 (1997).
[CrossRef]

1996 (1)

1995 (2)

R. E. Luna, E. R. Méndez, J. Q. Lu, and Z.-H. Gu, J. Mod. Opt. 42, 257 (1995).
[CrossRef]

R. E. Luna and E. R. Méndez, Opt. Lett. 20, 657 (1995).
[CrossRef] [PubMed]

1992 (1)

1991 (2)

1987 (1)

E. R. Méndez and K. A. O’Donnell, Opt. Commun. 72, 279 (1987).

1985 (1)

W. S. Bickell and W. S. Bailey, Am. J. Phys. 53, 468 (1985).
[CrossRef]

Acosta-Ortiz, S. E.

Asmail, C. C.

T. A. Germer and C. C. Asmail, Rev. Sci. Instrum. 70, 3688 (1999).
[CrossRef]

T. A. Germer and C. C. Asmail, J. Opt. Soc. Am. A 16, 1326 (1999).
[CrossRef]

Bailey, W. S.

W. S. Bickell and W. S. Bailey, Am. J. Phys. 53, 468 (1985).
[CrossRef]

Bickell, W. S.

W. S. Bickell and W. S. Bailey, Am. J. Phys. 53, 468 (1985).
[CrossRef]

Depine, R. A.

Germer, T. A.

T. A. Germer and C. C. Asmail, Rev. Sci. Instrum. 70, 3688 (1999).
[CrossRef]

T. A. Germer and C. C. Asmail, J. Opt. Soc. Am. A 16, 1326 (1999).
[CrossRef]

Gu, Z.-H.

R. E. Luna, E. R. Méndez, J. Q. Lu, and Z.-H. Gu, J. Mod. Opt. 42, 257 (1995).
[CrossRef]

Knotts, M. E.

Lu, J. Q.

R. E. Luna, E. R. Méndez, J. Q. Lu, and Z.-H. Gu, J. Mod. Opt. 42, 257 (1995).
[CrossRef]

Luna, R. E.

Maradudin, A. A.

I. V. Novikov and A. A. Maradudin, Radio Sci. 34, 599 (1999).
[CrossRef]

I. V. Novikov and A. A. Maradudin, Proc. SPIE 3141, 171 (1997).
[CrossRef]

Méndez, E. R.

R. E. Luna and E. R. Méndez, Opt. Lett. 20, 657 (1995).
[CrossRef] [PubMed]

R. E. Luna, E. R. Méndez, J. Q. Lu, and Z.-H. Gu, J. Mod. Opt. 42, 257 (1995).
[CrossRef]

E. R. Méndez and K. A. O’Donnell, Opt. Commun. 72, 279 (1987).

Michel, T. R.

Novikov, I. V.

I. V. Novikov and A. A. Maradudin, Radio Sci. 34, 599 (1999).
[CrossRef]

I. V. Novikov and A. A. Maradudin, Proc. SPIE 3141, 171 (1997).
[CrossRef]

O’Donnell, K. A.

Zou, L.-F.

Am. J. Phys. (1)

W. S. Bickell and W. S. Bailey, Am. J. Phys. 53, 468 (1985).
[CrossRef]

J. Mod. Opt. (1)

R. E. Luna, E. R. Méndez, J. Q. Lu, and Z.-H. Gu, J. Mod. Opt. 42, 257 (1995).
[CrossRef]

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

Opt. Commun. (1)

E. R. Méndez and K. A. O’Donnell, Opt. Commun. 72, 279 (1987).

Opt. Lett. (4)

Proc. SPIE (1)

I. V. Novikov and A. A. Maradudin, Proc. SPIE 3141, 171 (1997).
[CrossRef]

Radio Sci. (1)

I. V. Novikov and A. A. Maradudin, Radio Sci. 34, 599 (1999).
[CrossRef]

Rev. Sci. Instrum. (1)

T. A. Germer and C. C. Asmail, Rev. Sci. Instrum. 70, 3688 (1999).
[CrossRef]

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Figures (6)

Fig. 1
Fig. 1

Schematic diagram of the scattering geometry. Inset, two unit vectors, πˆ and σˆ, that define the polarization with respect to the plane defined by kˆi and the y axis.

Fig. 2
Fig. 2

Schematic diagram of the bidirectional scatterometer employed in the measurements.

Fig. 3
Fig. 3

Element m11θs of the experimental Mueller matrix for a 1-D randomly rough gold-coated surface with the following statistical parameters: correlation length, a=3.2 µm; standard deviation of height, δ=1.0 µm; λ=0.6328 µm; θ0=10°; φ=11.5°.

Fig. 4
Fig. 4

Element m22θs of the experimental Mueller matrix for the same parameters as in Fig. 3.

Fig. 5
Fig. 5

Element m43θs of the experimental Mueller matrix for the same parameters as in Fig. 3.

Fig. 6
Fig. 6

Element m44θs of the experimental Mueller matrix for the same parameters as in Fig. 3.

Equations (4)

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

Vi=Ii,Qi,Ui,ViT,
Vsc=McVi,
Isc=m11Ii+m12Qi+m13Ui+m14Vi,Qsc=m21Ii+m22Qi+m23Ui+m24Vi,Usc=m31Ii+m32Qi+m33Ui+m34Vi,Vsc=m41Ii+m42Qi+m43Ui+m44Vi,
m11=½Iππ+Iπσ+Iσπ+Iσσ,m12=½Iππ+Iπσ-Iσπ-Iσσ,m13=½Iχ+π+Iχ+σ-Iχ-π-Iχ-σ,m14=½Iρπ+Iρσ-Iλπ-Iλσ,m21=½Iππ-Iπσ+Iσπ-Iσσ,m22=½Iππ-Iπσ-Iσπ+Iσσ,m23=½Iχ+π-Iχ+σ-Iχ-π+Iχ-σ,m24=½Iρπ-Iρσ-Iλπ+Iλσ,m31=½Iπχ+-Iπχ-+Iσχ+-Iσχ-,m32=½Iπχ+-Iπχ--Iσχ++Iσχ-,m33=½Iχ+χ+-Iχ+χ--Iχ-χ++Iχ-χ-,m34=½Iρχ+-Iρχ--Iλχ++Iλχ-,m41=½Iπρ-Iπλ-Iσλ+Iσρ,m42=½Iπρ-Iπλ-Iσρ+Iσλ,m43=½Iχ+ρ-Iχ+λ-Iχ-ρ+Iχ-λ,m44=½Iρρ-Iρλ-Iλρ+Iλλ,

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