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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 7, Iss. 6 — Jun. 1, 1990
  • pp: 982–990

Scattering from metallic and dielectric rough surfaces

M. Saillard and D. Maystre  »View Author Affiliations

JOSA A, Vol. 7, Issue 6, pp. 982-990 (1990)

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Using a generalization of the integral theory of metallic and dielectric gratings developed in our laboratory 15 years ago, we propose a rigorous integral theory of scattering by metallic or dielectric nonperiodic rough surfaces leading to a single integral equation. The numerical implementation has been carried out despite strong difficulties for TM polarization and metallic surfaces because of propagation of surface plasmon waves outside the illuminated region of the rough surface. Numerical results show the influence of the statistical parameters of the asperities on the absorption phenomena for metallic surfaces. Then the influence of asperities on the total transmission around Brewster incidence is studied. Finally numerical results of enhanced backscattering from perfectly conducting, metallic, and dielectric random rough surfaces are given.

© 1990 Optical Society of America

M. Saillard and D. Maystre, "Scattering from metallic and dielectric rough surfaces," J. Opt. Soc. Am. A 7, 982-990 (1990)

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  1. D. Maystre, "Electromagnetic scattering from perfectly conducting rough surfaces in the resonance region," IEEE Trans. Antennas Propag. AP-31, 885–895 (1983). [CrossRef]
  2. M. Nieto-Vesperinas and N. Garcia, "A detailed study of the scattering of scalar waves from random rough surfaces," Opt. Acta 28, 1651–1672 (1981). [CrossRef]
  3. D. Maystre and J. P. Rossi, "Implementation of a rigorous vector theory of speckle for two-dimensional microrough surfaces," J. Opt. Soc. Am. A 3, 1276–1282 (1986). [CrossRef]
  4. M. Saillard and D. Maystre, "Scattering from random rough surfaces: a beam simulation method," J. Opt. 19, 173–176 (1988). [CrossRef]
  5. D. Maystre, M. Nevière, and R. Petit, "Experimental ramifications and applications of the theory," in Electromagnetic Theory of Gratings, Vol. 22 of Topics in Current Physics, R. Petit, ed. (Springer-Verlag, Berlin, 1980), Chap. 5. [CrossRef]
  6. D. Maystre, "Sur la diffraction d'une onde plane par un réseau métallique de conductivité finie," Opt. Commun. 6, 50–54 (1972). [CrossRef]
  7. D. Maystre, "Sur la diffraction d'une onde plane électromagnétique par un réseau métallique," Opt. Commun. 8, 216–219 (1973). [CrossRef]
  8. D. Maystre, "Rigorous vector theories of diffraction gratings," in Progress in Optics XXI, E. Wolf, ed. (Elsevier, New York, 1984). [CrossRef]
  9. E. Marx, "Single integral equation for wave scattering," J. Math. Phys. 23, 1057–1065 (1982). [CrossRef]
  10. R. E. Kleinman and P. A. Martin, "On single integral equations for the transmission problem of acoustics," SIAM J. Appl. Math. 48, 307–325 (1988). [CrossRef]
  11. D. Maystre, "Rigorous theory of light scattering from rough surfaces," J. Opt. 15, 43–51 (1984). [CrossRef]
  12. R. Mittra and C. A. Klein, Stability and Convergence of Moment Method Solution, Vol. 3 of Topics in Applied Physics (Springer-Verlag, Berlin, 1975), pp. 129–163.
  13. A. Tikhonov and V. Arsénine, Méthodes de Résolution de Problèmes mal Posés (Mir, Moscow, 1976).
  14. A. Roger, D. Maystre, and M. Cadilhac, "On a problem of inverse scattering in optics: the dielectric inhomogeneous medium," J. Opt. 9, 83–90 (1978). [CrossRef]
  15. M. Saillard and D. Maystre, "Microrough surfaces: influence of the correlation function on the speckle pattern," Opt. Acta 33, 1193–1206 (1986). [CrossRef]
  16. D. Maystre and M. Saillard, "Rigorous solution of problems of scattering by large size objects," in Scattering in Volumes and Surfaces, M. Nieto-Vesperinas and J. C. Dainty, eds. (Elsevier, New York, 1989), pp. 191–208.
  17. M. C. Hutley and D. Maystre, "The total absorption of light by a diffraction grating," Opt. Commun. 19, 431–436 (1976). [CrossRef]
  18. K. A. O'Donnell and E. R. Mendez, "Experimental study of scattering from characterized random surfaces," J. Opt. Soc. Am. A 4, 1194–1205 (1987). [CrossRef]
  19. M. Nieto-Vesperinas and J. M. Soto-Crespo, "Monte Carlo simulations for scattering of electromagnetic waves from perfectly conductive random rough surfaces," Opt. Lett. 12, 979–981 (1987). [CrossRef] [PubMed]
  20. J. M. Soto-Crespo and M. Nieto-Vesperinas, "Electromagnetic scattering from very rough random surfaces and deep reflection gratings," J. Opt. Soc. Am. A 6, 367–384 (1989). [CrossRef]
  21. A. R. McGurn, A. A. Maradudin, and V. Celli, "Localization effects in the scattering of light from a randomly rough grating," Phys. Rev. B 31, 4866–4871 (1985). [CrossRef]
  22. A. A. Maradudin, E. R. Mendez, and T. Michel, "Backscattering effects in the elastic scattering of p-polarized light from a large-amplitude random metallic grating," Opt. Lett. 14, [CrossRef] [PubMed]

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