Abstract

Numerical calculations of mean scattered intensities by simulation of one-dimensional perfectly conductive random rough surfaces are presented. Results relative to backscattering enhancement and more accurate criteria for the validity of the Kirchhoff approximation are obtained. This method can also be used for assessing perturbative theories and for further experiments.

© 1987 Optical Society of America

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  1. Y. Kuga, A. Ishimaru, J. Opt. Soc. Am. A 1, 831 (1984).
    [CrossRef]
  2. L. Tsang, A. Ishimaru, J. Opt. Soc. Am. A 1, 836 (1984)
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  3. H. P. Van Albada, A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985).
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  4. P. E. Wolf, G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
    [CrossRef] [PubMed]
  5. E. R. Méndez, K. A. O'Donnell, Opt. Commun. 61,91 (1987).
    [CrossRef]
  6. K. A. O'Donnell, E. R. Méndez, J. Opt. Soc. Am. A 4, 1194 (1987).
    [CrossRef]
  7. S. O. Rice, Comm. Pure Appl. Math. 4, 351 (1951).
    [CrossRef]
  8. G. R. Valenzuela, IEEE Trans. Antennas Propag. AP-15, 552 (1967).
    [CrossRef]
  9. F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
    [CrossRef]
  10. J. Shen, A. Maradudin, Phys. Rev. B 22,4234 (1980).
    [CrossRef]
  11. M. Nieto-Vesperinas, J. Opt. Soc. Am. 72, 539 (1982).
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  12. D. P. Winbrenner, A. Ishimaru, J. Opt. Soc. Am. A 2, 2285 (1985).
    [CrossRef]
  13. D. Maystre, J. P. Rossi, J. Opt. Soc. Am. A 3, 1276 (1986).
    [CrossRef]
  14. D. N. Pattanayak, E. Wolf, Opt. Commun. 6, 217 (1972).
    [CrossRef]
  15. G. S. Brown, Wave Motion 7,195 (1985).
    [CrossRef]
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    [CrossRef]
  17. P. Beckmann, A. Spizzichino, The Scattering of E.M. Waves from Rough Surfaces (Macmillan, New York, 1963).
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    [CrossRef]
  20. M. Nieto-Vesperinas, N. Garcia, Opt. Acta 28,1651 (1981).
    [CrossRef]

1987 (2)

E. R. Méndez, K. A. O'Donnell, Opt. Commun. 61,91 (1987).
[CrossRef]

K. A. O'Donnell, E. R. Méndez, J. Opt. Soc. Am. A 4, 1194 (1987).
[CrossRef]

1986 (2)

S. Etemand, R. A. Thompson, M. Andrejco, Phys. Rev. Lett. 57, 575 (1986).
[CrossRef]

D. Maystre, J. P. Rossi, J. Opt. Soc. Am. A 3, 1276 (1986).
[CrossRef]

1985 (6)

1984 (2)

1982 (1)

1981 (1)

M. Nieto-Vesperinas, N. Garcia, Opt. Acta 28,1651 (1981).
[CrossRef]

1980 (1)

J. Shen, A. Maradudin, Phys. Rev. B 22,4234 (1980).
[CrossRef]

1977 (1)

F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
[CrossRef]

1972 (1)

D. N. Pattanayak, E. Wolf, Opt. Commun. 6, 217 (1972).
[CrossRef]

1967 (1)

G. R. Valenzuela, IEEE Trans. Antennas Propag. AP-15, 552 (1967).
[CrossRef]

1951 (1)

S. O. Rice, Comm. Pure Appl. Math. 4, 351 (1951).
[CrossRef]

Andrejco, M.

S. Etemand, R. A. Thompson, M. Andrejco, Phys. Rev. Lett. 57, 575 (1986).
[CrossRef]

Beckmann, P.

P. Beckmann, A. Spizzichino, The Scattering of E.M. Waves from Rough Surfaces (Macmillan, New York, 1963).

Brown, G. S.

G. S. Brown, Wave Motion 7,195 (1985).
[CrossRef]

Celli, V.

V. Celli, A. A. Maradudin, A. A. Marvin, A. R. McGurn, J. Opt. Soc. Am. A 2, 2225 (1985).
[CrossRef]

F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
[CrossRef]

Chen, M. F.

Etemand, S.

S. Etemand, R. A. Thompson, M. Andrejco, Phys. Rev. Lett. 57, 575 (1986).
[CrossRef]

Fung, A. K.

Garcia, N.

M. Nieto-Vesperinas, N. Garcia, Opt. Acta 28,1651 (1981).
[CrossRef]

Hill, N. R.

F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
[CrossRef]

Ishimaru, A.

Kuga, Y.

Lagendijk, A.

H. P. Van Albada, A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef] [PubMed]

Maradudin, A.

J. Shen, A. Maradudin, Phys. Rev. B 22,4234 (1980).
[CrossRef]

Maradudin, A. A.

Maret, G.

P. E. Wolf, G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

Marvin, A.

F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
[CrossRef]

Marvin, A. A.

Maystre, D.

McGurn, A. R.

Méndez, E. R.

E. R. Méndez, K. A. O'Donnell, Opt. Commun. 61,91 (1987).
[CrossRef]

K. A. O'Donnell, E. R. Méndez, J. Opt. Soc. Am. A 4, 1194 (1987).
[CrossRef]

Nieto-Vesperinas, M.

M. Nieto-Vesperinas, J. Opt. Soc. Am. 72, 539 (1982).
[CrossRef]

M. Nieto-Vesperinas, N. Garcia, Opt. Acta 28,1651 (1981).
[CrossRef]

O'Donnell, K. A.

E. R. Méndez, K. A. O'Donnell, Opt. Commun. 61,91 (1987).
[CrossRef]

K. A. O'Donnell, E. R. Méndez, J. Opt. Soc. Am. A 4, 1194 (1987).
[CrossRef]

Pattanayak, D. N.

D. N. Pattanayak, E. Wolf, Opt. Commun. 6, 217 (1972).
[CrossRef]

Rice, S. O.

S. O. Rice, Comm. Pure Appl. Math. 4, 351 (1951).
[CrossRef]

Rossi, J. P.

Shen, J.

J. Shen, A. Maradudin, Phys. Rev. B 22,4234 (1980).
[CrossRef]

Spizzichino, A.

P. Beckmann, A. Spizzichino, The Scattering of E.M. Waves from Rough Surfaces (Macmillan, New York, 1963).

Thompson, R. A.

S. Etemand, R. A. Thompson, M. Andrejco, Phys. Rev. Lett. 57, 575 (1986).
[CrossRef]

Toigo, F.

F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
[CrossRef]

Tsang, L.

Valenzuela, G. R.

G. R. Valenzuela, IEEE Trans. Antennas Propag. AP-15, 552 (1967).
[CrossRef]

Van Albada, H. P.

H. P. Van Albada, A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef] [PubMed]

Winbrenner, D. P.

Wolf, E.

D. N. Pattanayak, E. Wolf, Opt. Commun. 6, 217 (1972).
[CrossRef]

Wolf, P. E.

P. E. Wolf, G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

Comm. Pure Appl. Math. (1)

S. O. Rice, Comm. Pure Appl. Math. 4, 351 (1951).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

G. R. Valenzuela, IEEE Trans. Antennas Propag. AP-15, 552 (1967).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (7)

Opt. Acta (1)

M. Nieto-Vesperinas, N. Garcia, Opt. Acta 28,1651 (1981).
[CrossRef]

Opt. Commun. (2)

E. R. Méndez, K. A. O'Donnell, Opt. Commun. 61,91 (1987).
[CrossRef]

D. N. Pattanayak, E. Wolf, Opt. Commun. 6, 217 (1972).
[CrossRef]

Phys. Rev. B (2)

F. Toigo, A. Marvin, V. Celli, N. R. Hill, Phys. Rev. B 15, 2371 (1977).
[CrossRef]

J. Shen, A. Maradudin, Phys. Rev. B 22,4234 (1980).
[CrossRef]

Phys. Rev. Lett. (3)

H. P. Van Albada, A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef] [PubMed]

P. E. Wolf, G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

S. Etemand, R. A. Thompson, M. Andrejco, Phys. Rev. Lett. 57, 575 (1986).
[CrossRef]

Wave Motion (1)

G. S. Brown, Wave Motion 7,195 (1985).
[CrossRef]

Other (1)

P. Beckmann, A. Spizzichino, The Scattering of E.M. Waves from Rough Surfaces (Macmillan, New York, 1963).

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Figures (4)

Fig. 1
Fig. 1

Mean scattered intensity for (a) T = 0.2λ, σ = 0.2λ, (b) T = 0.2λ, σ = 0.5λ, and several angles of incidence. Solid curves, s waves; dotted curves, p waves.

Fig. 2
Fig. 2

Same as Fig. 1 for (a) T = λ, σ = 0.2λ; (b) T = λ, σ = 1.5 λ.

Fig. 3
Fig. 3

Same as Fig. 1 for (a) T = 1.8λ, σ = 0.2λ; (b) T = 1.8λ, σ = 1.5λ.

Fig. 4
Fig. 4

(a) Scattered intensity from one sample with T = λ, σ = 1.5λ for s waves (lower curve) and p waves (upper curve). (b) Mean scattered intensity from ten samples with T = λ, σ = 1.5λ for s waves (lower curve) and p waves (upper curve).

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