Abstract

We study the scattering of p-polarized light from a one-dimensional randomly rough metal surface that is periodic on average, rather than planar. We find that the contribution to the mean differential reflection coefficient from the diffuse component of the scattered light displays features, e.g., dips, at scattering angles θs given by sin θs = −sin θ0 + n(λ/d), where θ0 is the angle of incidence, n is a nonzero integer, λ is the wavelength of the incident light, and d is the period of the average surface, in addition to the enhanced backscattering peak at θs = −θ0. These additional features are caused by the interference of each multiply scattered surface-plasmon polariton path with its time-reversed partner.

© 1993 Optical Society of America

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References

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  1. R. A. Depine, Opt. Lett. 16, 1457 (1991).
    [CrossRef] [PubMed]
  2. A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, Ann. Phys. (N.Y.) 203, 155 (1990).

1991 (1)

Depine, R. A.

Maradudin, A. A.

A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, Ann. Phys. (N.Y.) 203, 155 (1990).

McGurn, A. R.

A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, Ann. Phys. (N.Y.) 203, 155 (1990).

Méndez, E. R.

A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, Ann. Phys. (N.Y.) 203, 155 (1990).

Michel, T.

A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, Ann. Phys. (N.Y.) 203, 155 (1990).

Opt. Lett. (1)

Other (1)

A. A. Maradudin, T. Michel, A. R. McGurn, E. R. Méndez, Ann. Phys. (N.Y.) 203, 155 (1990).

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Figures (2)

Fig. 1
Fig. 1

Perturbative results for 〈∂R/∂θsdiff when p-polarized light of wavelength λ = 0.4579 μm is incident on a random silver surface that is periodic on average: (a) the single-scattering contribution, (b) the double-scattering ladder-diagram contribution, (c) the double-scattering maximally crossed-diagram contribution. θ0 = 30°, (ω) = −7.5 + i0.24, h = 0.25, d = 0.3925 μm, δ = 0.25, and a = 0.125 μm. The arrows define the retroflection direction.

Fig. 2
Fig. 2

Computer simulation results for 〈∂R/∂θsdiff when a p-polarized beam of light of wavelength λ = 0.4579 μm is incident upon a random silver surface that is periodic on average: (a) θ0 = 30°, (b) θ0 = 40°, (c) θ0 = 50°. (ω) = −7.5 + i0.24m, L = 18.3 μm, g = L/4, N = 300, Np = 1000, ζ0 = 0.036 μm, d = 0.3925 μm, δ = 0.075 μm, and a = 0.32 μm.

Equations (7)

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x 3 H 2 > ( x 1 , x 3 ω ) = ω c 1 + s ( x 1 ) [ ( ω ) ] 1 / 2 H 2 > ( x 1 , x 3 ω ) .
H 2 > ( x 1 , x 3 ω ) = exp [ i k x 1 i α 0 ( k , ω ) x 3 ] + d q 2 π R ( q k ) exp [ i q x 1 + i α 0 ( q , ω ) x 3 ] ,
G ( q k ) = 2 π δ ( q k ) G 0 ( k , ω ) + G 0 ( q , ω ) d q 2 π V ( q p ) G ( p k ) .
s ^ ( Q ) = d x 1 s ( x 1 ) exp ( i Q x 1 ) .
R θ s diff = 1 L 1 2 π ( ω c ) 3 × cos 2 θ s cos θ 0 [ G ( q k ) 2 | G ( q k ) | 2 ] ,
G P ( q k ) = 2 π δ ( q k ) G 0 ( k , ω ) + G 0 ( q , ω ) d p 2 π V P ( q p ) G P ( p k ) ,
G ( q k ) = G P ( q k ) + d p 2 π d r 2 π G P ( q p ) V R ( p r ) G ( r k ) .

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