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

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

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]

1998

1997

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

1996

1995

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]

1992

1991

1987

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

1985

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, J. Opt. Soc. Am. A 16, 1326 (1999).
[CrossRef]

T. A. Germer and C. C. Asmail, Rev. Sci. Instrum. 70, 3688 (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, J. Opt. Soc. Am. A 16, 1326 (1999).
[CrossRef]

T. A. Germer and C. C. Asmail, Rev. Sci. Instrum. 70, 3688 (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.

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

J. Mod. Opt.

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

Opt. Commun.

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

Opt. Lett.

Proc. SPIE

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

Radio Sci.

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

Rev. Sci. Instrum.

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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