Scattering from fractally corrugated surfaces with use of the extended boundary condition method

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 14, Issue 2, 1997, Pages 475-485

  Savaidis, S ^a   Frangos, P ^a   Jaggard, D L ^b   Hizanidis, K ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; ELECTROMAGNETIC WAVE POLARIZATION; FRACTALS; GREEN'S FUNCTION; LIGHT POLARIZATION; SURFACES;

EXTENDED BOUNDARY CONDITION METHOD; FLOQUET MODES; FRACTALLY CORRUGATED SURFACES; KIRCHHOFF METHOD; RAYLEIGH METHOD;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0031077953     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.000475     Document Type: Article

References (34)

1. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1983).
2. E. Rodriguez and Y. Kim, “A unified perturbation expansion for surface scattering,” Radio Sci. 27, 79–93 (1992).
3. J. A. Sanchez-Gil, A. A. Maradudin, and E. R. Mendez, “Limits of validity of three perturbation theories of the specular scattering of light from one-dimensional, randomly rough, dielectric surfaces,” J. Opt. Soc. Am. A 12, 1547–1558 (1995).
4. D. P. Winebrenner and A. Ishimaru, “Application of the phase-perturbation technique to randomly rough surfaces,” J. Opt. Soc. Am. A 2, 2285–2294 (1985).
5. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, New York, 1963).
6. E. I. Thorsos, “The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum,” J. Acoust. Soc. Am. 83, 78–92 (1988).
7. M. F. Chen and A. K. Fung, “A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models,” Radio Sci. 23, 163–170 (1988).
8. M. Nieto-Vesperinas and J. C. Dainty, Scattering in Volumes and Surfaces (Elsevier, Amsterdam, 1990).
9. D. Maystre and J. C. Dainty, Modern Analysis of Scattering Phenomena (Hilger, London, 1991).
10. 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).
11. K. Pak, L. Tsang, C. H. Chan, and J. Johnson, “Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces based on Monte Carlo simulations,” J. Opt. Soc. Am. A 12, 2491–2499 (1995).
12. E. Bahar and M. El-Shenawee, “Enhanced backscatter from one-dimensional random rough surfaces: stationary-phase approximations to full-wave solutions,” J. Opt. Soc. Am. A 12, 151–161 (1995).
13. T. T. Ong and V. Celli, “Cross-polarized light scattering from a wavy surface with a rough overlayer,” J. Opt. Soc. Am. A 11, 2545–2549 (1994).
14. M. E. Knotts, T. R. Michel, and K. A. O’Donnell, “Comparisons of theory and experiment in light scattering from a randomly rough surface,” J. Opt. Soc. Am. A 10, 928–941 (1993).
15. H. Faure-Geors and D. Maystre, “Improvement of the Kirschhoff approximation for metallic and dielectric surfaces,” J. Opt. Soc. Am. A 7, 1675–1685 (1990).
16. M. Nieto-Vesperinas, J. A. Sanchez-Gil, A. J. Sant, and J. C. Dainty, “Light transmission from a randomly rough dielectric diffuser: theoretical and experimental results,” Opt. Lett. 15, 1261–1263 (1990).
17. J. A. DeSanto, “Exact spectral formalism for rough-surface scattering,” J. Opt. Soc. Am. A 2, 2202–2207 (1985).
18. D. Maystre, Selected Papers on Diffraction Gratings, Vol. MS83 of SPlE Milestones Series (SpIE, Bellingham, Wash., 1993).
19. J. A. DeSanto, “Scattering from a sinusoid: derivation of linear equations for the field amplitudes,” J. Acoust. Soc. Am. 57, 1195–1197 (1975).
20. A. K. Jordan and R. H. Lang, “Electromagnetic scattering patterns from sinusoidal surfaces,” Radio Sci. 14, 1077–1088 (1979).
21. D. L. Jaggard and X. Sun, “Scattering from fractally corrugated surfaces,” J. Opt. Soc. Am. A 7, 1131–1139 (1990).
22. D. L. Jaggard and X. Sun, “Fractal surface scattering: a generalized Rayleigh solution,” J. Appl. Phys. 68, 5456–5462 (1990).
23. P. C. Waterman, “Matrix formulation of electromagnetic scattering,” Proc. IEEE 53, 805–811 (1965).
24. P. C. Waterman, “Symmetry, unitarity, and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1971).
25. P. C. Waterman, “Scattering by periodic surfaces,” J. Acoust. Soc. Am. 57, 791–802 (1975).
26. S. L. Chuang and J. A. Kong, “Scattering of waves from periodic surfaces,” Proc. IEEE 69, 1132–1144 (1981).
27. J. A. Sanchez and M. Nieto-Vesperinas, “Light scattering from random rough dielectric surfaces,” J. Opt. Soc. Am. A 8, 1270–1286 (1991).
28. D. L. Jaggard, “Fractal Electrodynamics: wave interactions with discretely self-similar structures,” in Symmetry in Electrodynamics, C. Baum and H. Kritikos, eds. (Taylor & Francis, London, 1995).
29. A. R. Mickelson and D. L. Jaggard, “Electromagnetic wave propagation in almost periodic media,” IEEE Trans. Antennas Propag. AP-27, 34–40 (1979).
30. J. A. Kong, Electromagnetic Wave Theory (Wiley, New York, 1986), Sec. 6.3.
31. A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering (Prentice-Hall, Englewood Cliffs, N.J., 1991), Sec. 12.4.
32. S. Savaidis, P. Frangos, D. L. Jaggard, and K. Hizanidis, “Scattering from fractally corrugated surfaces: an exact approach,” Opt. Lett. 20, 2357–2359 (1995).
33. K. A. Zaki and A. R. Neureuther, “Scattering from a perfectly conducting surface with a sinusoidal height profile: TM polarization,” IEEE Trans. Antennas Propag. AP19, 747–751 (1971).
34. J. W. Wright, “Backscattering from capillary waves with application to sea clutter,” IEEE Trans. Antennas Propag. AP-14, 749–754 (1966).